{"id":998992,"date":"2026-08-13T22:14:47","date_gmt":"2026-08-13T22:14:47","guid":{"rendered":"https:\/\/www.europesays.com\/us\/998992\/"},"modified":"2026-08-13T22:14:47","modified_gmt":"2026-08-13T22:14:47","slug":"shape-strain-and-spin-texture-as-a-modern-triad-for-magnetic-materials","status":"publish","type":"post","link":"https:\/\/www.europesays.com\/us\/998992\/","title":{"rendered":"Shape, strain and spin texture as a modern triad for magnetic materials"},"content":{"rendered":"<li class=\"c-article-references__item js-c-reading-companion-references-item\" data-counter=\"1.\">\n<p class=\"c-article-references__text\" id=\"ref-CR1\">DeWitt, B. S. Dynamical theory in curved spaces. I. A review of the classical and quantum action principles. Rev. Mod. Phys. <b>29<\/b>, 377\u2013397 (1957).<\/p>\n<p class=\"c-article-references__links u-hide-print\"><a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"10.1103\/RevModPhys.29.377\" data-track-item_id=\"10.1103\/RevModPhys.29.377\" data-track-value=\"article reference\" data-track-action=\"article reference\" href=\"https:\/\/doi.org\/10.1103%2FRevModPhys.29.377\" aria-label=\"Article reference 1\" data-doi=\"10.1103\/RevModPhys.29.377\" target=\"_blank\">Article<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" data-track-action=\"google scholar reference\" data-track-value=\"google scholar reference\" data-track-label=\"link\" data-track-item_id=\"link\" rel=\"nofollow noopener\" aria-label=\"Google Scholar reference 1\" href=\"http:\/\/scholar.google.com\/scholar_lookup?&amp;title=Dynamical%20theory%20in%20curved%20spaces.%20I.%20A%20review%20of%20the%20classical%20and%20quantum%20action%20principles&amp;journal=Rev.%20Mod.%20Phys.&amp;doi=10.1103%2FRevModPhys.29.377&amp;volume=29&amp;pages=377-397&amp;publication_year=1957&amp;author=DeWitt%2CBS\" target=\"_blank\"><br \/>\n                    Google Scholar<\/a>\u00a0\n                <\/p>\n<\/li>\n<li class=\"c-article-references__item js-c-reading-companion-references-item\" data-counter=\"2.\">\n<p class=\"c-article-references__text\" id=\"ref-CR2\">Jensen, H. &amp; Koppe, H. Quantum mechanics with constraints. Ann. Phys. (N. Y.) <b>63<\/b>, 586\u2013591 (1971).<\/p>\n<p class=\"c-article-references__links u-hide-print\"><a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"10.1016\/0003-4916(71)90031-5\" data-track-item_id=\"10.1016\/0003-4916(71)90031-5\" data-track-value=\"article reference\" data-track-action=\"article reference\" href=\"https:\/\/doi.org\/10.1016%2F0003-4916%2871%2990031-5\" aria-label=\"Article reference 2\" data-doi=\"10.1016\/0003-4916(71)90031-5\" target=\"_blank\">Article<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" data-track-action=\"google scholar reference\" data-track-value=\"google scholar reference\" data-track-label=\"link\" data-track-item_id=\"link\" rel=\"nofollow noopener\" aria-label=\"Google Scholar reference 2\" href=\"http:\/\/scholar.google.com\/scholar_lookup?&amp;title=Quantum%20mechanics%20with%20constraints&amp;journal=Ann.%20Phys.%20%28N.%20Y.%29&amp;doi=10.1016%2F0003-4916%2871%2990031-5&amp;volume=63&amp;pages=586-591&amp;publication_year=1971&amp;author=Jensen%2CH&amp;author=Koppe%2CH\" target=\"_blank\"><br \/>\n                    Google Scholar<\/a>\u00a0\n                <\/p>\n<\/li>\n<li class=\"c-article-references__item js-c-reading-companion-references-item\" data-counter=\"3.\">\n<p class=\"c-article-references__text\" id=\"ref-CR3\">da Costa, R. C. T. Quantum mechanics of a constrained particle. Phys. Rev. A <b>23<\/b>, 1982\u20131987 (1981).<\/p>\n<p class=\"c-article-references__links u-hide-print\"><a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"10.1103\/PhysRevA.23.1982\" data-track-item_id=\"10.1103\/PhysRevA.23.1982\" data-track-value=\"article reference\" data-track-action=\"article reference\" href=\"https:\/\/doi.org\/10.1103%2FPhysRevA.23.1982\" aria-label=\"Article reference 3\" data-doi=\"10.1103\/PhysRevA.23.1982\" target=\"_blank\">Article<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" data-track-action=\"google scholar reference\" data-track-value=\"google scholar reference\" data-track-label=\"link\" data-track-item_id=\"link\" rel=\"nofollow noopener\" aria-label=\"Google Scholar reference 3\" href=\"http:\/\/scholar.google.com\/scholar_lookup?&amp;title=Quantum%20mechanics%20of%20a%20constrained%20particle&amp;journal=Phys.%20Rev.%20A&amp;doi=10.1103%2FPhysRevA.23.1982&amp;volume=23&amp;pages=1982-1987&amp;publication_year=1981&amp;author=Costa%2CRCT\" target=\"_blank\"><br \/>\n                    Google Scholar<\/a>\u00a0\n                <\/p>\n<\/li>\n<li class=\"c-article-references__item js-c-reading-companion-references-item\" data-counter=\"4.\">\n<p class=\"c-article-references__text\" id=\"ref-CR4\">Gentile, P. et al. Electronic materials with nanoscale curved geometries. Nat. Electron. <b>5<\/b>, 551\u2013563 (2022).<\/p>\n<p class=\"c-article-references__links u-hide-print\"><a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"10.1038\/s41928-022-00820-z\" data-track-item_id=\"10.1038\/s41928-022-00820-z\" data-track-value=\"article reference\" data-track-action=\"article reference\" href=\"https:\/\/doi.org\/10.1038%2Fs41928-022-00820-z\" aria-label=\"Article reference 4\" data-doi=\"10.1038\/s41928-022-00820-z\" target=\"_blank\">Article<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" data-track-action=\"google scholar reference\" data-track-value=\"google scholar reference\" data-track-label=\"link\" data-track-item_id=\"link\" rel=\"nofollow noopener\" aria-label=\"Google Scholar reference 4\" href=\"http:\/\/scholar.google.com\/scholar_lookup?&amp;title=Electronic%20materials%20with%20nanoscale%20curved%20geometries&amp;journal=Nat.%20Electron.&amp;doi=10.1038%2Fs41928-022-00820-z&amp;volume=5&amp;pages=551-563&amp;publication_year=2022&amp;author=Gentile%2CP\" target=\"_blank\"><br \/>\n                    Google Scholar<\/a>\u00a0\n                <\/p>\n<\/li>\n<li class=\"c-article-references__item js-c-reading-companion-references-item\" data-counter=\"5.\">\n<p class=\"c-article-references__text\" id=\"ref-CR5\">Makarov, D. &amp; Sheka, D. D. (eds.) Curvilinear Micromagnetism (Springer, 2022).<\/p>\n<\/li>\n<li class=\"c-article-references__item js-c-reading-companion-references-item\" data-counter=\"6.\">\n<p class=\"c-article-references__text\" id=\"ref-CR6\">Fomin, V. M. &amp; Dobrovolskiy, O. V. A perspective on superconductivity in curved 3D nanoarchitectures. Appl. Phys. Lett. <b>120<\/b>, 090501 (2022).<\/p>\n<p class=\"c-article-references__links u-hide-print\"><a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"10.1063\/5.0085095\" data-track-item_id=\"10.1063\/5.0085095\" data-track-value=\"article reference\" data-track-action=\"article reference\" href=\"https:\/\/doi.org\/10.1063%2F5.0085095\" aria-label=\"Article reference 6\" data-doi=\"10.1063\/5.0085095\" target=\"_blank\">Article<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"link\" data-track-item_id=\"link\" data-track-value=\"cas reference\" data-track-action=\"cas reference\" href=\"https:\/\/www.nature.com\/articles\/cas-redirect\/1:CAS:528:DC%2BB38XmtVenu7Y%3D\" aria-label=\"CAS reference 6\" target=\"_blank\">CAS<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" data-track-action=\"google scholar reference\" data-track-value=\"google scholar reference\" data-track-label=\"link\" data-track-item_id=\"link\" rel=\"nofollow noopener\" aria-label=\"Google Scholar reference 6\" href=\"http:\/\/scholar.google.com\/scholar_lookup?&amp;title=A%20perspective%20on%20superconductivity%20in%20curved%203D%20nanoarchitectures&amp;journal=Appl.%20Phys.%20Lett.&amp;doi=10.1063%2F5.0085095&amp;volume=120&amp;publication_year=2022&amp;author=Fomin%2CVM&amp;author=Dobrovolskiy%2COV\" target=\"_blank\"><br \/>\n                    Google Scholar<\/a>\u00a0\n                <\/p>\n<\/li>\n<li class=\"c-article-references__item js-c-reading-companion-references-item\" data-counter=\"7.\">\n<p class=\"c-article-references__text\" id=\"ref-CR7\">Fern\u00e1ndez-Pacheco, A. et al. Writing 3D nanomagnets using focused electron beams. Materials <b>13<\/b>, 3774 (2020).<\/p>\n<p class=\"c-article-references__links u-hide-print\"><a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"10.3390\/ma13173774\" data-track-item_id=\"10.3390\/ma13173774\" data-track-value=\"article reference\" data-track-action=\"article reference\" href=\"https:\/\/doi.org\/10.3390%2Fma13173774\" aria-label=\"Article reference 7\" data-doi=\"10.3390\/ma13173774\" target=\"_blank\">Article<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"link\" data-track-item_id=\"link\" data-track-value=\"pubmed reference\" data-track-action=\"pubmed reference\" href=\"http:\/\/www.ncbi.nlm.nih.gov\/entrez\/query.fcgi?cmd=Retrieve&amp;db=PubMed&amp;dopt=Abstract&amp;list_uids=32859076\" aria-label=\"PubMed reference 7\" target=\"_blank\">PubMed<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"link\" data-track-item_id=\"link\" data-track-value=\"pubmed central reference\" data-track-action=\"pubmed central reference\" href=\"http:\/\/www.ncbi.nlm.nih.gov\/pmc\/articles\/PMC7503546\" aria-label=\"PubMed Central reference 7\" target=\"_blank\">PubMed Central<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" data-track-action=\"google scholar reference\" data-track-value=\"google scholar reference\" data-track-label=\"link\" data-track-item_id=\"link\" rel=\"nofollow noopener\" aria-label=\"Google Scholar reference 7\" href=\"http:\/\/scholar.google.com\/scholar_lookup?&amp;title=Writing%203D%20nanomagnets%20using%20focused%20electron%20beams&amp;journal=Materials&amp;doi=10.3390%2Fma13173774&amp;volume=13&amp;publication_year=2020&amp;author=Fern%C3%A1ndez-Pacheco%2CA\" target=\"_blank\"><br \/>\n                    Google Scholar<\/a>\u00a0\n                <\/p>\n<\/li>\n<li class=\"c-article-references__item js-c-reading-companion-references-item\" data-counter=\"8.\">\n<p class=\"c-article-references__text\" id=\"ref-CR8\">H\u00f6flich, K. et al. Roadmap for focused ion beam technologies. Appl. Phys. Rev. <b>10<\/b>, 041311 (2023).<\/p>\n<p class=\"c-article-references__links u-hide-print\"><a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"10.1063\/5.0162597\" data-track-item_id=\"10.1063\/5.0162597\" data-track-value=\"article reference\" data-track-action=\"article reference\" href=\"https:\/\/doi.org\/10.1063%2F5.0162597\" aria-label=\"Article reference 8\" data-doi=\"10.1063\/5.0162597\" target=\"_blank\">Article<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" data-track-action=\"google scholar reference\" data-track-value=\"google scholar reference\" data-track-label=\"link\" data-track-item_id=\"link\" rel=\"nofollow noopener\" aria-label=\"Google Scholar reference 8\" href=\"http:\/\/scholar.google.com\/scholar_lookup?&amp;title=Roadmap%20for%20focused%20ion%20beam%20technologies&amp;journal=Appl.%20Phys.%20Rev.&amp;doi=10.1063%2F5.0162597&amp;volume=10&amp;publication_year=2023&amp;author=H%C3%B6flich%2CK\" target=\"_blank\"><br \/>\n                    Google Scholar<\/a>\u00a0\n                <\/p>\n<\/li>\n<li class=\"c-article-references__item js-c-reading-companion-references-item\" data-counter=\"9.\">\n<p class=\"c-article-references__text\" id=\"ref-CR9\">Askey, J. et al. Exploiting two-photon lithography, deposition, and processing to realize complex 3D magnetic nanostructures. Adv. Funct. Mater. <b>36<\/b>, e16383 (2025).<\/p>\n<p class=\"c-article-references__links u-hide-print\"><a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"10.1002\/adfm.202516383\" data-track-item_id=\"10.1002\/adfm.202516383\" data-track-value=\"article reference\" data-track-action=\"article reference\" href=\"https:\/\/doi.org\/10.1002%2Fadfm.202516383\" aria-label=\"Article reference 9\" data-doi=\"10.1002\/adfm.202516383\" target=\"_blank\">Article<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" data-track-action=\"google scholar reference\" data-track-value=\"google scholar reference\" data-track-label=\"link\" data-track-item_id=\"link\" rel=\"nofollow noopener\" aria-label=\"Google Scholar reference 9\" href=\"http:\/\/scholar.google.com\/scholar_lookup?&amp;title=Exploiting%20two-photon%20lithography%2C%20deposition%2C%20and%20processing%20to%20realize%20complex%203D%20magnetic%20nanostructures&amp;journal=Adv.%20Funct.%20Mater.&amp;doi=10.1002%2Fadfm.202516383&amp;volume=36&amp;publication_year=2025&amp;author=Askey%2CJ\" target=\"_blank\"><br \/>\n                    Google Scholar<\/a>\u00a0\n                <\/p>\n<\/li>\n<li class=\"c-article-references__item js-c-reading-companion-references-item\" data-counter=\"10.\">\n<p class=\"c-article-references__text\" id=\"ref-CR10\">Christensen, D. V. et al. 2024 roadmap on magnetic microscopy techniques and their applications in materials science. J. Phys. Mater. <b>7<\/b>, 032501 (2024).<\/p>\n<p class=\"c-article-references__links u-hide-print\"><a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"10.1088\/2515-7639\/ad31b5\" data-track-item_id=\"10.1088\/2515-7639\/ad31b5\" data-track-value=\"article reference\" data-track-action=\"article reference\" href=\"https:\/\/doi.org\/10.1088%2F2515-7639%2Fad31b5\" aria-label=\"Article reference 10\" data-doi=\"10.1088\/2515-7639\/ad31b5\" target=\"_blank\">Article<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" data-track-action=\"google scholar reference\" data-track-value=\"google scholar reference\" data-track-label=\"link\" data-track-item_id=\"link\" rel=\"nofollow noopener\" aria-label=\"Google Scholar reference 10\" href=\"http:\/\/scholar.google.com\/scholar_lookup?&amp;title=2024%20roadmap%20on%20magnetic%20microscopy%20techniques%20and%20their%20applications%20in%20materials%20science&amp;journal=J.%20Phys.%20Mater.&amp;doi=10.1088%2F2515-7639%2Fad31b5&amp;volume=7&amp;publication_year=2024&amp;author=Christensen%2CDV\" target=\"_blank\"><br \/>\n                    Google Scholar<\/a>\u00a0\n                <\/p>\n<\/li>\n<li class=\"c-article-references__item js-c-reading-companion-references-item\" data-counter=\"11.\">\n<p class=\"c-article-references__text\" id=\"ref-CR11\">Gubbiotti, G. et al. 2025 roadmap on 3D nano-magnetism. J. Phys. Condens. Matter <b>37<\/b>, 143502 (2024).<\/p>\n<p class=\"c-article-references__links u-hide-print\"><a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"10.1088\/1361-648X\/ad9655\" data-track-item_id=\"10.1088\/1361-648X\/ad9655\" data-track-value=\"article reference\" data-track-action=\"article reference\" href=\"https:\/\/doi.org\/10.1088%2F1361-648X%2Fad9655\" aria-label=\"Article reference 11\" data-doi=\"10.1088\/1361-648X\/ad9655\" target=\"_blank\">Article<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" data-track-action=\"google scholar reference\" data-track-value=\"google scholar reference\" data-track-label=\"link\" data-track-item_id=\"link\" rel=\"nofollow noopener\" aria-label=\"Google Scholar reference 11\" href=\"http:\/\/scholar.google.com\/scholar_lookup?&amp;title=2025%20roadmap%20on%203D%20nano-magnetism&amp;journal=J.%20Phys.%20Condens.%20Matter&amp;doi=10.1088%2F1361-648X%2Fad9655&amp;volume=37&amp;publication_year=2024&amp;author=Gubbiotti%2CG\" target=\"_blank\"><br \/>\n                    Google Scholar<\/a>\u00a0\n                <\/p>\n<\/li>\n<li class=\"c-article-references__item js-c-reading-companion-references-item\" data-counter=\"12.\">\n<p class=\"c-article-references__text\" id=\"ref-CR12\">Ho, S.-C. et al. Hall effects in artificially corrugated bilayer graphene without breaking time-reversal symmetry. Nat. Electron. <b>4<\/b>, 116\u2013125 (2021).<\/p>\n<p class=\"c-article-references__links u-hide-print\"><a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"10.1038\/s41928-021-00537-5\" data-track-item_id=\"10.1038\/s41928-021-00537-5\" data-track-value=\"article reference\" data-track-action=\"article reference\" href=\"https:\/\/doi.org\/10.1038%2Fs41928-021-00537-5\" aria-label=\"Article reference 12\" data-doi=\"10.1038\/s41928-021-00537-5\" target=\"_blank\">Article<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"link\" data-track-item_id=\"link\" data-track-value=\"cas reference\" data-track-action=\"cas reference\" href=\"https:\/\/www.nature.com\/articles\/cas-redirect\/1:CAS:528:DC%2BB3MXkvFCgsrs%3D\" aria-label=\"CAS reference 12\" target=\"_blank\">CAS<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" data-track-action=\"google scholar reference\" data-track-value=\"google scholar reference\" data-track-label=\"link\" data-track-item_id=\"link\" rel=\"nofollow noopener\" aria-label=\"Google Scholar reference 12\" href=\"http:\/\/scholar.google.com\/scholar_lookup?&amp;title=Hall%20effects%20in%20artificially%20corrugated%20bilayer%20graphene%20without%20breaking%20time-reversal%20symmetry&amp;journal=Nat.%20Electron.&amp;doi=10.1038%2Fs41928-021-00537-5&amp;volume=4&amp;pages=116-125&amp;publication_year=2021&amp;author=Ho%2CS-C\" target=\"_blank\"><br \/>\n                    Google Scholar<\/a>\u00a0\n                <\/p>\n<\/li>\n<li class=\"c-article-references__item js-c-reading-companion-references-item\" data-counter=\"13.\">\n<p class=\"c-article-references__text\" id=\"ref-CR13\">Makushko, P. et al. A tunable room-temperature nonlinear Hall effect in elemental bismuth thin films. Nat. Electron. <b>7<\/b>, 207\u2013215 (2024).<\/p>\n<p class=\"c-article-references__links u-hide-print\"><a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"10.1038\/s41928-024-01118-y\" data-track-item_id=\"10.1038\/s41928-024-01118-y\" data-track-value=\"article reference\" data-track-action=\"article reference\" href=\"https:\/\/doi.org\/10.1038%2Fs41928-024-01118-y\" aria-label=\"Article reference 13\" data-doi=\"10.1038\/s41928-024-01118-y\" target=\"_blank\">Article<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"link\" data-track-item_id=\"link\" data-track-value=\"cas reference\" data-track-action=\"cas reference\" href=\"https:\/\/www.nature.com\/articles\/cas-redirect\/1:CAS:528:DC%2BB2cXivVagtbc%3D\" aria-label=\"CAS reference 13\" target=\"_blank\">CAS<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" data-track-action=\"google scholar reference\" data-track-value=\"google scholar reference\" data-track-label=\"link\" data-track-item_id=\"link\" rel=\"nofollow noopener\" aria-label=\"Google Scholar reference 13\" href=\"http:\/\/scholar.google.com\/scholar_lookup?&amp;title=A%20tunable%20room-temperature%20nonlinear%20Hall%20effect%20in%20elemental%20bismuth%20thin%20films&amp;journal=Nat.%20Electron.&amp;doi=10.1038%2Fs41928-024-01118-y&amp;volume=7&amp;pages=207-215&amp;publication_year=2024&amp;author=Makushko%2CP\" target=\"_blank\"><br \/>\n                    Google Scholar<\/a>\u00a0\n                <\/p>\n<\/li>\n<li class=\"c-article-references__item js-c-reading-companion-references-item\" data-counter=\"14.\">\n<p class=\"c-article-references__text\" id=\"ref-CR14\">Makarov, D. et al. New dimension in magnetism and superconductivity: 3D and curvilinear nanoarchitectures. Adv. Mater. <b>34<\/b>, 2101758 (2022).<\/p>\n<p class=\"c-article-references__links u-hide-print\"><a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"10.1002\/adma.202101758\" data-track-item_id=\"10.1002\/adma.202101758\" data-track-value=\"article reference\" data-track-action=\"article reference\" href=\"https:\/\/doi.org\/10.1002%2Fadma.202101758\" aria-label=\"Article reference 14\" data-doi=\"10.1002\/adma.202101758\" target=\"_blank\">Article<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"link\" data-track-item_id=\"link\" data-track-value=\"cas reference\" data-track-action=\"cas reference\" href=\"https:\/\/www.nature.com\/articles\/cas-redirect\/1:CAS:528:DC%2BB3MXitlOmt7fL\" aria-label=\"CAS reference 14\" target=\"_blank\">CAS<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"link\" data-track-item_id=\"link\" data-track-value=\"pubmed reference\" data-track-action=\"pubmed reference\" href=\"http:\/\/www.ncbi.nlm.nih.gov\/entrez\/query.fcgi?cmd=Retrieve&amp;db=PubMed&amp;dopt=Abstract&amp;list_uids=34705309\" aria-label=\"PubMed reference 14\" target=\"_blank\">PubMed<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" data-track-action=\"google scholar reference\" data-track-value=\"google scholar reference\" data-track-label=\"link\" data-track-item_id=\"link\" rel=\"nofollow noopener\" aria-label=\"Google Scholar reference 14\" href=\"http:\/\/scholar.google.com\/scholar_lookup?&amp;title=New%20dimension%20in%20magnetism%20and%20superconductivity%3A%203D%20and%20curvilinear%20nanoarchitectures&amp;journal=Adv.%20Mater.&amp;doi=10.1002%2Fadma.202101758&amp;volume=34&amp;publication_year=2022&amp;author=Makarov%2CD\" target=\"_blank\"><br \/>\n                    Google Scholar<\/a>\u00a0\n                <\/p>\n<\/li>\n<li class=\"c-article-references__item js-c-reading-companion-references-item\" data-counter=\"15.\">\n<p class=\"c-article-references__text\" id=\"ref-CR15\">Pylypovskyi, O. V., Borysenko, Y. A., Fassbender, J., Sheka, D. D. &amp; Makarov, D. Curvature-driven homogeneous Dzyaloshinskii\u2013Moriya interaction and emergent weak ferromagnetism in anisotropic antiferromagnetic spin chains. Appl. Phys. Lett. <b>118<\/b>, 182405 (2021).<\/p>\n<p class=\"c-article-references__links u-hide-print\"><a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"10.1063\/5.0048823\" data-track-item_id=\"10.1063\/5.0048823\" data-track-value=\"article reference\" data-track-action=\"article reference\" href=\"https:\/\/doi.org\/10.1063%2F5.0048823\" aria-label=\"Article reference 15\" data-doi=\"10.1063\/5.0048823\" target=\"_blank\">Article<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"link\" data-track-item_id=\"link\" data-track-value=\"cas reference\" data-track-action=\"cas reference\" href=\"https:\/\/www.nature.com\/articles\/cas-redirect\/1:CAS:528:DC%2BB3MXhtVCktb%2FL\" aria-label=\"CAS reference 15\" target=\"_blank\">CAS<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" data-track-action=\"google scholar reference\" data-track-value=\"google scholar reference\" data-track-label=\"link\" data-track-item_id=\"link\" rel=\"nofollow noopener\" aria-label=\"Google Scholar reference 15\" href=\"http:\/\/scholar.google.com\/scholar_lookup?&amp;title=Curvature-driven%20homogeneous%20Dzyaloshinskii%E2%80%93Moriya%20interaction%20and%20emergent%20weak%20ferromagnetism%20in%20anisotropic%20antiferromagnetic%20spin%20chains&amp;journal=Appl.%20Phys.%20Lett.&amp;doi=10.1063%2F5.0048823&amp;volume=118&amp;publication_year=2021&amp;author=Pylypovskyi%2COV&amp;author=Borysenko%2CYA&amp;author=Fassbender%2CJ&amp;author=Sheka%2CDD&amp;author=Makarov%2CD\" target=\"_blank\"><br \/>\n                    Google Scholar<\/a>\u00a0\n                <\/p>\n<\/li>\n<li class=\"c-article-references__item js-c-reading-companion-references-item\" data-counter=\"16.\">\n<p class=\"c-article-references__text\" id=\"ref-CR16\">Salamone, T., Skj\u00e6rpe, M., Hugdal, H. G., Amundsen, M. &amp; Jacobsen, S. H. Interface probe for antiferromagnets using geometric curvature. Phys. Rev. B <b>109<\/b>, 094508 (2024).<\/p>\n<p class=\"c-article-references__links u-hide-print\"><a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"10.1103\/PhysRevB.109.094508\" data-track-item_id=\"10.1103\/PhysRevB.109.094508\" data-track-value=\"article reference\" data-track-action=\"article reference\" href=\"https:\/\/doi.org\/10.1103%2FPhysRevB.109.094508\" aria-label=\"Article reference 16\" data-doi=\"10.1103\/PhysRevB.109.094508\" target=\"_blank\">Article<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"link\" data-track-item_id=\"link\" data-track-value=\"cas reference\" data-track-action=\"cas reference\" href=\"https:\/\/www.nature.com\/articles\/cas-redirect\/1:CAS:528:DC%2BB2cXnvFWqu78%3D\" aria-label=\"CAS reference 16\" target=\"_blank\">CAS<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" data-track-action=\"google scholar reference\" data-track-value=\"google scholar reference\" data-track-label=\"link\" data-track-item_id=\"link\" rel=\"nofollow noopener\" aria-label=\"Google Scholar reference 16\" href=\"http:\/\/scholar.google.com\/scholar_lookup?&amp;title=Interface%20probe%20for%20antiferromagnets%20using%20geometric%20curvature&amp;journal=Phys.%20Rev.%20B&amp;doi=10.1103%2FPhysRevB.109.094508&amp;volume=109&amp;publication_year=2024&amp;author=Salamone%2CT&amp;author=Skj%C3%A6rpe%2CM&amp;author=Hugdal%2CHG&amp;author=Amundsen%2CM&amp;author=Jacobsen%2CSH\" target=\"_blank\"><br \/>\n                    Google Scholar<\/a>\u00a0\n                <\/p>\n<\/li>\n<li class=\"c-article-references__item js-c-reading-companion-references-item\" data-counter=\"17.\">\n<p class=\"c-article-references__text\" id=\"ref-CR17\">Castillo-Sep\u00falveda, S., Escobar, R. A., Altbir, D., Krizanac, M. &amp; Vedmedenko, E. Y. Magnetic M\u00f6bius stripe without frustration: noncollinear metastable states. Phys. Rev. B <b>96<\/b>, 024426 (2017).<\/p>\n<p class=\"c-article-references__links u-hide-print\"><a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"10.1103\/PhysRevB.96.024426\" data-track-item_id=\"10.1103\/PhysRevB.96.024426\" data-track-value=\"article reference\" data-track-action=\"article reference\" href=\"https:\/\/doi.org\/10.1103%2FPhysRevB.96.024426\" aria-label=\"Article reference 17\" data-doi=\"10.1103\/PhysRevB.96.024426\" target=\"_blank\">Article<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" data-track-action=\"google scholar reference\" data-track-value=\"google scholar reference\" data-track-label=\"link\" data-track-item_id=\"link\" rel=\"nofollow noopener\" aria-label=\"Google Scholar reference 17\" href=\"http:\/\/scholar.google.com\/scholar_lookup?&amp;title=Magnetic%20M%C3%B6bius%20stripe%20without%20frustration%3A%20noncollinear%20metastable%20states&amp;journal=Phys.%20Rev.%20B&amp;doi=10.1103%2FPhysRevB.96.024426&amp;volume=96&amp;publication_year=2017&amp;author=Castillo-Sep%C3%BAlveda%2CS&amp;author=Escobar%2CRA&amp;author=Altbir%2CD&amp;author=Krizanac%2CM&amp;author=Vedmedenko%2CEY\" target=\"_blank\"><br \/>\n                    Google Scholar<\/a>\u00a0\n                <\/p>\n<\/li>\n<li class=\"c-article-references__item js-c-reading-companion-references-item\" data-counter=\"18.\">\n<p class=\"c-article-references__text\" id=\"ref-CR18\">Pylypovskyi, O. V., Di Benedetto, E., Ortix, C. &amp; Makarov, D. Manipulation by magnetic frustration in ferrotoroidal spin chains via curvature and torsion. Phys. Rev. Res. <b>7<\/b>, 013088 (2025).<\/p>\n<p class=\"c-article-references__links u-hide-print\"><a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"10.1103\/PhysRevResearch.7.013088\" data-track-item_id=\"10.1103\/PhysRevResearch.7.013088\" data-track-value=\"article reference\" data-track-action=\"article reference\" href=\"https:\/\/doi.org\/10.1103%2FPhysRevResearch.7.013088\" aria-label=\"Article reference 18\" data-doi=\"10.1103\/PhysRevResearch.7.013088\" target=\"_blank\">Article<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"link\" data-track-item_id=\"link\" data-track-value=\"cas reference\" data-track-action=\"cas reference\" href=\"https:\/\/www.nature.com\/articles\/cas-redirect\/1:CAS:528:DC%2BB2MXps1ekur8%3D\" aria-label=\"CAS reference 18\" target=\"_blank\">CAS<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" data-track-action=\"google scholar reference\" data-track-value=\"google scholar reference\" data-track-label=\"link\" data-track-item_id=\"link\" rel=\"nofollow noopener\" aria-label=\"Google Scholar reference 18\" href=\"http:\/\/scholar.google.com\/scholar_lookup?&amp;title=Manipulation%20by%20magnetic%20frustration%20in%20ferrotoroidal%20spin%20chains%20via%20curvature%20and%20torsion&amp;journal=Phys.%20Rev.%20Res.&amp;doi=10.1103%2FPhysRevResearch.7.013088&amp;volume=7&amp;publication_year=2025&amp;author=Pylypovskyi%2COV&amp;author=Benedetto%2CE&amp;author=Ortix%2CC&amp;author=Makarov%2CD\" target=\"_blank\"><br \/>\n                    Google Scholar<\/a>\u00a0\n                <\/p>\n<\/li>\n<li class=\"c-article-references__item js-c-reading-companion-references-item\" data-counter=\"19.\">\n<p class=\"c-article-references__text\" id=\"ref-CR19\">Yershov, K. V., K\u00e1kay, A. &amp; Kravchuk, V. P. Curvature-induced drift and deformation of magnetic skyrmions: comparison of the ferromagnetic and antiferromagnetic cases. Phys. Rev. B <b>105<\/b>, 054425 (2022).<\/p>\n<p class=\"c-article-references__links u-hide-print\"><a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"10.1103\/PhysRevB.105.054425\" data-track-item_id=\"10.1103\/PhysRevB.105.054425\" data-track-value=\"article reference\" data-track-action=\"article reference\" href=\"https:\/\/doi.org\/10.1103%2FPhysRevB.105.054425\" aria-label=\"Article reference 19\" data-doi=\"10.1103\/PhysRevB.105.054425\" target=\"_blank\">Article<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"link\" data-track-item_id=\"link\" data-track-value=\"cas reference\" data-track-action=\"cas reference\" href=\"https:\/\/www.nature.com\/articles\/cas-redirect\/1:CAS:528:DC%2BB38Xmslegs7w%3D\" aria-label=\"CAS reference 19\" target=\"_blank\">CAS<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" data-track-action=\"google scholar reference\" data-track-value=\"google scholar reference\" data-track-label=\"link\" data-track-item_id=\"link\" rel=\"nofollow noopener\" aria-label=\"Google Scholar reference 19\" href=\"http:\/\/scholar.google.com\/scholar_lookup?&amp;title=Curvature-induced%20drift%20and%20deformation%20of%20magnetic%20skyrmions%3A%20comparison%20of%20the%20ferromagnetic%20and%20antiferromagnetic%20cases&amp;journal=Phys.%20Rev.%20B&amp;doi=10.1103%2FPhysRevB.105.054425&amp;volume=105&amp;publication_year=2022&amp;author=Yershov%2CKV&amp;author=K%C3%A1kay%2CA&amp;author=Kravchuk%2CVP\" target=\"_blank\"><br \/>\n                    Google Scholar<\/a>\u00a0\n                <\/p>\n<\/li>\n<li class=\"c-article-references__item js-c-reading-companion-references-item\" data-counter=\"20.\">\n<p class=\"c-article-references__text\" id=\"ref-CR20\">Jani, H. et al. Spatially reconfigurable antiferromagnetic states in topologically rich free-standing nanomembranes. Nat. Mater. <b>23<\/b>, 619\u2013626 (2024).<\/p>\n<p class=\"c-article-references__links u-hide-print\"><a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"10.1038\/s41563-024-01806-2\" data-track-item_id=\"10.1038\/s41563-024-01806-2\" data-track-value=\"article reference\" data-track-action=\"article reference\" href=\"https:\/\/doi.org\/10.1038%2Fs41563-024-01806-2\" aria-label=\"Article reference 20\" data-doi=\"10.1038\/s41563-024-01806-2\" target=\"_blank\">Article<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"link\" data-track-item_id=\"link\" data-track-value=\"cas reference\" data-track-action=\"cas reference\" href=\"https:\/\/www.nature.com\/articles\/cas-redirect\/1:CAS:528:DC%2BB2cXjvFWgtrs%3D\" aria-label=\"CAS reference 20\" target=\"_blank\">CAS<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"link\" data-track-item_id=\"link\" data-track-value=\"pubmed reference\" data-track-action=\"pubmed reference\" href=\"http:\/\/www.ncbi.nlm.nih.gov\/entrez\/query.fcgi?cmd=Retrieve&amp;db=PubMed&amp;dopt=Abstract&amp;list_uids=38374414\" aria-label=\"PubMed reference 20\" target=\"_blank\">PubMed<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"link\" data-track-item_id=\"link\" data-track-value=\"pubmed central reference\" data-track-action=\"pubmed central reference\" href=\"http:\/\/www.ncbi.nlm.nih.gov\/pmc\/articles\/PMC11068574\" aria-label=\"PubMed Central reference 20\" target=\"_blank\">PubMed Central<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" data-track-action=\"google scholar reference\" data-track-value=\"google scholar reference\" data-track-label=\"link\" data-track-item_id=\"link\" rel=\"nofollow noopener\" aria-label=\"Google Scholar reference 20\" href=\"http:\/\/scholar.google.com\/scholar_lookup?&amp;title=Spatially%20reconfigurable%20antiferromagnetic%20states%20in%20topologically%20rich%20free-standing%20nanomembranes&amp;journal=Nat.%20Mater.&amp;doi=10.1038%2Fs41563-024-01806-2&amp;volume=23&amp;pages=619-626&amp;publication_year=2024&amp;author=Jani%2CH\" target=\"_blank\"><br \/>\n                    Google Scholar<\/a>\u00a0\n                <\/p>\n<\/li>\n<li class=\"c-article-references__item js-c-reading-companion-references-item\" data-counter=\"21.\">\n<p class=\"c-article-references__text\" id=\"ref-CR21\">Das Gupta, D. &amp; Maiti, S. K. Antiferromagnetic helix as an efficient spin polarizer: interplay between electric field and higher-order hopping. Phys. Rev. B <b>106<\/b>, 125420 (2022).<\/p>\n<p class=\"c-article-references__links u-hide-print\"><a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"10.1103\/PhysRevB.106.125420\" data-track-item_id=\"10.1103\/PhysRevB.106.125420\" data-track-value=\"article reference\" data-track-action=\"article reference\" href=\"https:\/\/doi.org\/10.1103%2FPhysRevB.106.125420\" aria-label=\"Article reference 21\" data-doi=\"10.1103\/PhysRevB.106.125420\" target=\"_blank\">Article<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" data-track-action=\"google scholar reference\" data-track-value=\"google scholar reference\" data-track-label=\"link\" data-track-item_id=\"link\" rel=\"nofollow noopener\" aria-label=\"Google Scholar reference 21\" href=\"http:\/\/scholar.google.com\/scholar_lookup?&amp;title=Antiferromagnetic%20helix%20as%20an%20efficient%20spin%20polarizer%3A%20interplay%20between%20electric%20field%20and%20higher-order%20hopping&amp;journal=Phys.%20Rev.%20B&amp;doi=10.1103%2FPhysRevB.106.125420&amp;volume=106&amp;publication_year=2022&amp;author=Gupta%2CD&amp;author=Maiti%2CSK\" target=\"_blank\"><br \/>\n                    Google Scholar<\/a>\u00a0\n                <\/p>\n<\/li>\n<li class=\"c-article-references__item js-c-reading-companion-references-item\" data-counter=\"22.\">\n<p class=\"c-article-references__text\" id=\"ref-CR22\">Kravchuk, V. P. et al. Topologically stable magnetization states on a spherical shell: curvature-stabilized skyrmions. Phys. Rev. B <b>94<\/b>, 144402 (2016).<\/p>\n<p class=\"c-article-references__links u-hide-print\"><a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"10.1103\/PhysRevB.94.144402\" data-track-item_id=\"10.1103\/PhysRevB.94.144402\" data-track-value=\"article reference\" data-track-action=\"article reference\" href=\"https:\/\/doi.org\/10.1103%2FPhysRevB.94.144402\" aria-label=\"Article reference 22\" data-doi=\"10.1103\/PhysRevB.94.144402\" target=\"_blank\">Article<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" data-track-action=\"google scholar reference\" data-track-value=\"google scholar reference\" data-track-label=\"link\" data-track-item_id=\"link\" rel=\"nofollow noopener\" aria-label=\"Google Scholar reference 22\" href=\"http:\/\/scholar.google.com\/scholar_lookup?&amp;title=Topologically%20stable%20magnetization%20states%20on%20a%20spherical%20shell%3A%20curvature-stabilized%20skyrmions&amp;journal=Phys.%20Rev.%20B&amp;doi=10.1103%2FPhysRevB.94.144402&amp;volume=94&amp;publication_year=2016&amp;author=Kravchuk%2CVP\" target=\"_blank\"><br \/>\n                    Google Scholar<\/a>\u00a0\n                <\/p>\n<\/li>\n<li class=\"c-article-references__item js-c-reading-companion-references-item\" data-counter=\"23.\">\n<p class=\"c-article-references__text\" id=\"ref-CR23\">Yoneya, M., Kuboki, K. &amp; Hayashi, M. Domain-wall structure of a classical Heisenberg ferromagnet on a M\u00f6bius strip. Phys. Rev. B <b>78<\/b>, 064419 (2008).<\/p>\n<p class=\"c-article-references__links u-hide-print\"><a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"10.1103\/PhysRevB.78.064419\" data-track-item_id=\"10.1103\/PhysRevB.78.064419\" data-track-value=\"article reference\" data-track-action=\"article reference\" href=\"https:\/\/doi.org\/10.1103%2FPhysRevB.78.064419\" aria-label=\"Article reference 23\" data-doi=\"10.1103\/PhysRevB.78.064419\" target=\"_blank\">Article<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" data-track-action=\"google scholar reference\" data-track-value=\"google scholar reference\" data-track-label=\"link\" data-track-item_id=\"link\" rel=\"nofollow noopener\" aria-label=\"Google Scholar reference 23\" href=\"http:\/\/scholar.google.com\/scholar_lookup?&amp;title=Domain-wall%20structure%20of%20a%20classical%20Heisenberg%20ferromagnet%20on%20a%20M%C3%B6bius%20strip&amp;journal=Phys.%20Rev.%20B&amp;doi=10.1103%2FPhysRevB.78.064419&amp;volume=78&amp;publication_year=2008&amp;author=Yoneya%2CM&amp;author=Kuboki%2CK&amp;author=Hayashi%2CM\" target=\"_blank\"><br \/>\n                    Google Scholar<\/a>\u00a0\n                <\/p>\n<\/li>\n<li class=\"c-article-references__item js-c-reading-companion-references-item\" data-counter=\"24.\">\n<p class=\"c-article-references__text\" id=\"ref-CR24\">Streubel, R. et al. Magnetism in curved geometries. J. Phys. D <b>49<\/b>, 363001 (2016).<\/p>\n<p class=\"c-article-references__links u-hide-print\"><a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"10.1088\/0022-3727\/49\/36\/363001\" data-track-item_id=\"10.1088\/0022-3727\/49\/36\/363001\" data-track-value=\"article reference\" data-track-action=\"article reference\" href=\"https:\/\/doi.org\/10.1088%2F0022-3727%2F49%2F36%2F363001\" aria-label=\"Article reference 24\" data-doi=\"10.1088\/0022-3727\/49\/36\/363001\" target=\"_blank\">Article<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" data-track-action=\"google scholar reference\" data-track-value=\"google scholar reference\" data-track-label=\"link\" data-track-item_id=\"link\" rel=\"nofollow noopener\" aria-label=\"Google Scholar reference 24\" href=\"http:\/\/scholar.google.com\/scholar_lookup?&amp;title=Magnetism%20in%20curved%20geometries&amp;journal=J.%20Phys.%20D&amp;doi=10.1088%2F0022-3727%2F49%2F36%2F363001&amp;volume=49&amp;publication_year=2016&amp;author=Streubel%2CR\" target=\"_blank\"><br \/>\n                    Google Scholar<\/a>\u00a0\n                <\/p>\n<\/li>\n<li class=\"c-article-references__item js-c-reading-companion-references-item\" data-counter=\"25.\">\n<p class=\"c-article-references__text\" id=\"ref-CR25\">Sheka, D. D. A perspective on curvilinear magnetism. Appl. Phys. Lett. <b>118<\/b>, 230502 (2021).<\/p>\n<p class=\"c-article-references__links u-hide-print\"><a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"10.1063\/5.0048891\" data-track-item_id=\"10.1063\/5.0048891\" data-track-value=\"article reference\" data-track-action=\"article reference\" href=\"https:\/\/doi.org\/10.1063%2F5.0048891\" aria-label=\"Article reference 25\" data-doi=\"10.1063\/5.0048891\" target=\"_blank\">Article<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"link\" data-track-item_id=\"link\" data-track-value=\"cas reference\" data-track-action=\"cas reference\" href=\"https:\/\/www.nature.com\/articles\/cas-redirect\/1:CAS:528:DC%2BB3MXhtlSrurnP\" aria-label=\"CAS reference 25\" target=\"_blank\">CAS<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" data-track-action=\"google scholar reference\" data-track-value=\"google scholar reference\" data-track-label=\"link\" data-track-item_id=\"link\" rel=\"nofollow noopener\" aria-label=\"Google Scholar reference 25\" href=\"http:\/\/scholar.google.com\/scholar_lookup?&amp;title=A%20perspective%20on%20curvilinear%20magnetism&amp;journal=Appl.%20Phys.%20Lett.&amp;doi=10.1063%2F5.0048891&amp;volume=118&amp;publication_year=2021&amp;author=Sheka%2CDD\" target=\"_blank\"><br \/>\n                    Google Scholar<\/a>\u00a0\n                <\/p>\n<\/li>\n<li class=\"c-article-references__item js-c-reading-companion-references-item\" data-counter=\"26.\">\n<p class=\"c-article-references__text\" id=\"ref-CR26\">Volkov, O. M. et al. Three-dimensional magnetic nanotextures with high-order vorticity in soft magnetic wireframes. Nat. Commun. <b>15<\/b>, 2193 (2024).<\/p>\n<p class=\"c-article-references__links u-hide-print\"><a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"10.1038\/s41467-024-46403-8\" data-track-item_id=\"10.1038\/s41467-024-46403-8\" data-track-value=\"article reference\" data-track-action=\"article reference\" href=\"https:\/\/doi.org\/10.1038%2Fs41467-024-46403-8\" aria-label=\"Article reference 26\" data-doi=\"10.1038\/s41467-024-46403-8\" target=\"_blank\">Article<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"link\" data-track-item_id=\"link\" data-track-value=\"cas reference\" data-track-action=\"cas reference\" href=\"https:\/\/www.nature.com\/articles\/cas-redirect\/1:CAS:528:DC%2BB2cXlsFKksb8%3D\" aria-label=\"CAS reference 26\" target=\"_blank\">CAS<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"link\" data-track-item_id=\"link\" data-track-value=\"pubmed reference\" data-track-action=\"pubmed reference\" href=\"http:\/\/www.ncbi.nlm.nih.gov\/entrez\/query.fcgi?cmd=Retrieve&amp;db=PubMed&amp;dopt=Abstract&amp;list_uids=38467623\" aria-label=\"PubMed reference 26\" target=\"_blank\">PubMed<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"link\" data-track-item_id=\"link\" data-track-value=\"pubmed central reference\" data-track-action=\"pubmed central reference\" href=\"http:\/\/www.ncbi.nlm.nih.gov\/pmc\/articles\/PMC10928081\" aria-label=\"PubMed Central reference 26\" target=\"_blank\">PubMed Central<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" data-track-action=\"google scholar reference\" data-track-value=\"google scholar reference\" data-track-label=\"link\" data-track-item_id=\"link\" rel=\"nofollow noopener\" aria-label=\"Google Scholar reference 26\" href=\"http:\/\/scholar.google.com\/scholar_lookup?&amp;title=Three-dimensional%20magnetic%20nanotextures%20with%20high-order%20vorticity%20in%20soft%20magnetic%20wireframes&amp;journal=Nat.%20Commun.&amp;doi=10.1038%2Fs41467-024-46403-8&amp;volume=15&amp;publication_year=2024&amp;author=Volkov%2COM\" target=\"_blank\"><br \/>\n                    Google Scholar<\/a>\u00a0\n                <\/p>\n<\/li>\n<li class=\"c-article-references__item js-c-reading-companion-references-item\" data-counter=\"27.\">\n<p class=\"c-article-references__text\" id=\"ref-CR27\">Vojkovic, S., Carvalho-Santos, V. L., Fonseca, J. M. &amp; Nunez, A. S. Vortex\u2013antivortex pairs induced by curvature in toroidal nanomagnets. J. Appl. Phys. <b>121<\/b>, 113906 (2017).<\/p>\n<p class=\"c-article-references__links u-hide-print\"><a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"10.1063\/1.4977983\" data-track-item_id=\"10.1063\/1.4977983\" data-track-value=\"article reference\" data-track-action=\"article reference\" href=\"https:\/\/doi.org\/10.1063%2F1.4977983\" aria-label=\"Article reference 27\" data-doi=\"10.1063\/1.4977983\" target=\"_blank\">Article<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" data-track-action=\"google scholar reference\" data-track-value=\"google scholar reference\" data-track-label=\"link\" data-track-item_id=\"link\" rel=\"nofollow noopener\" aria-label=\"Google Scholar reference 27\" href=\"http:\/\/scholar.google.com\/scholar_lookup?&amp;title=Vortex%E2%80%93antivortex%20pairs%20induced%20by%20curvature%20in%20toroidal%20nanomagnets&amp;journal=J.%20Appl.%20Phys.&amp;doi=10.1063%2F1.4977983&amp;volume=121&amp;publication_year=2017&amp;author=Vojkovic%2CS&amp;author=Carvalho-Santos%2CVL&amp;author=Fonseca%2CJM&amp;author=Nunez%2CAS\" target=\"_blank\"><br \/>\n                    Google Scholar<\/a>\u00a0\n                <\/p>\n<\/li>\n<li class=\"c-article-references__item js-c-reading-companion-references-item\" data-counter=\"28.\">\n<p class=\"c-article-references__text\" id=\"ref-CR28\">Donnelly, C. et al. Element-specific X-ray phase tomography of 3D structures at the nanoscale. Phys. Rev. Lett. <b>114<\/b>, 115501 (2015).<\/p>\n<p class=\"c-article-references__links u-hide-print\"><a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"10.1103\/PhysRevLett.114.115501\" data-track-item_id=\"10.1103\/PhysRevLett.114.115501\" data-track-value=\"article reference\" data-track-action=\"article reference\" href=\"https:\/\/doi.org\/10.1103%2FPhysRevLett.114.115501\" aria-label=\"Article reference 28\" data-doi=\"10.1103\/PhysRevLett.114.115501\" target=\"_blank\">Article<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"link\" data-track-item_id=\"link\" data-track-value=\"pubmed reference\" data-track-action=\"pubmed reference\" href=\"http:\/\/www.ncbi.nlm.nih.gov\/entrez\/query.fcgi?cmd=Retrieve&amp;db=PubMed&amp;dopt=Abstract&amp;list_uids=25839287\" aria-label=\"PubMed reference 28\" target=\"_blank\">PubMed<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" data-track-action=\"google scholar reference\" data-track-value=\"google scholar reference\" data-track-label=\"link\" data-track-item_id=\"link\" rel=\"nofollow noopener\" aria-label=\"Google Scholar reference 28\" href=\"http:\/\/scholar.google.com\/scholar_lookup?&amp;title=Element-specific%20X-ray%20phase%20tomography%20of%203D%20structures%20at%20the%20nanoscale&amp;journal=Phys.%20Rev.%20Lett.&amp;doi=10.1103%2FPhysRevLett.114.115501&amp;volume=114&amp;publication_year=2015&amp;author=Donnelly%2CC\" target=\"_blank\"><br \/>\n                    Google Scholar<\/a>\u00a0\n                <\/p>\n<\/li>\n<li class=\"c-article-references__item js-c-reading-companion-references-item\" data-counter=\"29.\">\n<p class=\"c-article-references__text\" id=\"ref-CR29\">Cheenikundil, R., Bauer, J., Goharyan, M., d\u2019Aquino, M. &amp; Hertel, R. High-frequency modes in a magnetic buckyball nanoarchitecture. APL Mater. <b>10<\/b>, 081106 (2022).<\/p>\n<p class=\"c-article-references__links u-hide-print\"><a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"10.1063\/5.0097695\" data-track-item_id=\"10.1063\/5.0097695\" data-track-value=\"article reference\" data-track-action=\"article reference\" href=\"https:\/\/doi.org\/10.1063%2F5.0097695\" aria-label=\"Article reference 29\" data-doi=\"10.1063\/5.0097695\" target=\"_blank\">Article<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"link\" data-track-item_id=\"link\" data-track-value=\"cas reference\" data-track-action=\"cas reference\" href=\"https:\/\/www.nature.com\/articles\/cas-redirect\/1:CAS:528:DC%2BB38XitFOlt77M\" aria-label=\"CAS reference 29\" target=\"_blank\">CAS<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" data-track-action=\"google scholar reference\" data-track-value=\"google scholar reference\" data-track-label=\"link\" data-track-item_id=\"link\" rel=\"nofollow noopener\" aria-label=\"Google Scholar reference 29\" href=\"http:\/\/scholar.google.com\/scholar_lookup?&amp;title=High-frequency%20modes%20in%20a%20magnetic%20buckyball%20nanoarchitecture&amp;journal=APL%20Mater.&amp;doi=10.1063%2F5.0097695&amp;volume=10&amp;publication_year=2022&amp;author=Cheenikundil%2CR&amp;author=Bauer%2CJ&amp;author=Goharyan%2CM&amp;author=d%E2%80%99Aquino%2CM&amp;author=Hertel%2CR\" target=\"_blank\"><br \/>\n                    Google Scholar<\/a>\u00a0\n                <\/p>\n<\/li>\n<li class=\"c-article-references__item js-c-reading-companion-references-item\" data-counter=\"30.\">\n<p class=\"c-article-references__text\" id=\"ref-CR30\">Castillo-Sep\u00falveda, S., Cacilhas, R., Carvalho-Santos, V. L., Corona, R. M. &amp; Altbir, D. Magnetic hopfions in toroidal nanostructures driven by an Oersted magnetic field. Phys. Rev. B <b>104<\/b>, 184406 (2021).<\/p>\n<p class=\"c-article-references__links u-hide-print\"><a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"10.1103\/PhysRevB.104.184406\" data-track-item_id=\"10.1103\/PhysRevB.104.184406\" data-track-value=\"article reference\" data-track-action=\"article reference\" href=\"https:\/\/doi.org\/10.1103%2FPhysRevB.104.184406\" aria-label=\"Article reference 30\" data-doi=\"10.1103\/PhysRevB.104.184406\" target=\"_blank\">Article<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" data-track-action=\"google scholar reference\" data-track-value=\"google scholar reference\" data-track-label=\"link\" data-track-item_id=\"link\" rel=\"nofollow noopener\" aria-label=\"Google Scholar reference 30\" href=\"http:\/\/scholar.google.com\/scholar_lookup?&amp;title=Magnetic%20hopfions%20in%20toroidal%20nanostructures%20driven%20by%20an%20Oersted%20magnetic%20field&amp;journal=Phys.%20Rev.%20B&amp;doi=10.1103%2FPhysRevB.104.184406&amp;volume=104&amp;publication_year=2021&amp;author=Castillo-Sep%C3%BAlveda%2CS&amp;author=Cacilhas%2CR&amp;author=Carvalho-Santos%2CVL&amp;author=Corona%2CRM&amp;author=Altbir%2CD\" target=\"_blank\"><br \/>\n                    Google Scholar<\/a>\u00a0\n                <\/p>\n<\/li>\n<li class=\"c-article-references__item js-c-reading-companion-references-item\" data-counter=\"31.\">\n<p class=\"c-article-references__text\" id=\"ref-CR31\">Sheka, D. D. et al. Nonlocal chiral symmetry breaking in curvilinear magnetic shells. Commun. Phys. <b>3<\/b>, 128 (2020).<\/p>\n<p class=\"c-article-references__links u-hide-print\"><a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"10.1038\/s42005-020-0387-2\" data-track-item_id=\"10.1038\/s42005-020-0387-2\" data-track-value=\"article reference\" data-track-action=\"article reference\" href=\"https:\/\/doi.org\/10.1038%2Fs42005-020-0387-2\" aria-label=\"Article reference 31\" data-doi=\"10.1038\/s42005-020-0387-2\" target=\"_blank\">Article<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" data-track-action=\"google scholar reference\" data-track-value=\"google scholar reference\" data-track-label=\"link\" data-track-item_id=\"link\" rel=\"nofollow noopener\" aria-label=\"Google Scholar reference 31\" href=\"http:\/\/scholar.google.com\/scholar_lookup?&amp;title=Nonlocal%20chiral%20symmetry%20breaking%20in%20curvilinear%20magnetic%20shells&amp;journal=Commun.%20Phys.&amp;doi=10.1038%2Fs42005-020-0387-2&amp;volume=3&amp;publication_year=2020&amp;author=Sheka%2CDD\" target=\"_blank\"><br \/>\n                    Google Scholar<\/a>\u00a0\n                <\/p>\n<\/li>\n<li class=\"c-article-references__item js-c-reading-companion-references-item\" data-counter=\"32.\">\n<p class=\"c-article-references__text\" id=\"ref-CR32\">Donnelly, C. et al. Complex free-space magnetic field textures induced by three-dimensional magnetic nanostructures. Nat. Nanotechnol. <b>17<\/b>, 136\u2013142 (2022).<\/p>\n<p class=\"c-article-references__links u-hide-print\"><a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"10.1038\/s41565-021-01027-7\" data-track-item_id=\"10.1038\/s41565-021-01027-7\" data-track-value=\"article reference\" data-track-action=\"article reference\" href=\"https:\/\/doi.org\/10.1038%2Fs41565-021-01027-7\" aria-label=\"Article reference 32\" data-doi=\"10.1038\/s41565-021-01027-7\" target=\"_blank\">Article<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"link\" data-track-item_id=\"link\" data-track-value=\"cas reference\" data-track-action=\"cas reference\" href=\"https:\/\/www.nature.com\/articles\/cas-redirect\/1:CAS:528:DC%2BB3MXisl2htrbP\" aria-label=\"CAS reference 32\" target=\"_blank\">CAS<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"link\" data-track-item_id=\"link\" data-track-value=\"pubmed reference\" data-track-action=\"pubmed reference\" href=\"http:\/\/www.ncbi.nlm.nih.gov\/entrez\/query.fcgi?cmd=Retrieve&amp;db=PubMed&amp;dopt=Abstract&amp;list_uids=34931031\" aria-label=\"PubMed reference 32\" target=\"_blank\">PubMed<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" data-track-action=\"google scholar reference\" data-track-value=\"google scholar reference\" data-track-label=\"link\" data-track-item_id=\"link\" rel=\"nofollow noopener\" aria-label=\"Google Scholar reference 32\" href=\"http:\/\/scholar.google.com\/scholar_lookup?&amp;title=Complex%20free-space%20magnetic%20field%20textures%20induced%20by%20three-dimensional%20magnetic%20nanostructures&amp;journal=Nat.%20Nanotechnol.&amp;doi=10.1038%2Fs41565-021-01027-7&amp;volume=17&amp;pages=136-142&amp;publication_year=2022&amp;author=Donnelly%2CC\" target=\"_blank\"><br \/>\n                    Google Scholar<\/a>\u00a0\n                <\/p>\n<\/li>\n<li class=\"c-article-references__item js-c-reading-companion-references-item\" data-counter=\"33.\">\n<p class=\"c-article-references__text\" id=\"ref-CR33\">Xu, M. et al. Geometry-induced spin chirality in a non-chiral ferromagnet at zero field. Nat. Nanotechnol. <b>21<\/b>, 58\u201364 (2026).<\/p>\n<p class=\"c-article-references__links u-hide-print\"><a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"10.1038\/s41565-025-02055-3\" data-track-item_id=\"10.1038\/s41565-025-02055-3\" data-track-value=\"article reference\" data-track-action=\"article reference\" href=\"https:\/\/doi.org\/10.1038%2Fs41565-025-02055-3\" aria-label=\"Article reference 33\" data-doi=\"10.1038\/s41565-025-02055-3\" target=\"_blank\">Article<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"link\" data-track-item_id=\"link\" data-track-value=\"cas reference\" data-track-action=\"cas reference\" href=\"https:\/\/www.nature.com\/articles\/cas-redirect\/1:CAS:528:DC%2BB2MXjt1Oms7vE\" aria-label=\"CAS reference 33\" target=\"_blank\">CAS<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"link\" data-track-item_id=\"link\" data-track-value=\"pubmed reference\" data-track-action=\"pubmed reference\" href=\"http:\/\/www.ncbi.nlm.nih.gov\/entrez\/query.fcgi?cmd=Retrieve&amp;db=PubMed&amp;dopt=Abstract&amp;list_uids=41345517\" aria-label=\"PubMed reference 33\" target=\"_blank\">PubMed<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" data-track-action=\"google scholar reference\" data-track-value=\"google scholar reference\" data-track-label=\"link\" data-track-item_id=\"link\" rel=\"nofollow noopener\" aria-label=\"Google Scholar reference 33\" href=\"http:\/\/scholar.google.com\/scholar_lookup?&amp;title=Geometry-induced%20spin%20chirality%20in%20a%20non-chiral%20ferromagnet%20at%20zero%20field&amp;journal=Nat.%20Nanotechnol.&amp;doi=10.1038%2Fs41565-025-02055-3&amp;volume=21&amp;pages=58-64&amp;publication_year=2026&amp;author=Xu%2CM\" target=\"_blank\"><br \/>\n                    Google Scholar<\/a>\u00a0\n                <\/p>\n<\/li>\n<li class=\"c-article-references__item js-c-reading-companion-references-item\" data-counter=\"34.\">\n<p class=\"c-article-references__text\" id=\"ref-CR34\">Volkov, O. M. et al. Experimental observation of exchange-driven chiral effects in curvilinear magnetism. Phys. Rev. Lett. <b>123<\/b>, 077201 (2019).<\/p>\n<p class=\"c-article-references__links u-hide-print\"><a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"10.1103\/PhysRevLett.123.077201\" data-track-item_id=\"10.1103\/PhysRevLett.123.077201\" data-track-value=\"article reference\" data-track-action=\"article reference\" href=\"https:\/\/doi.org\/10.1103%2FPhysRevLett.123.077201\" aria-label=\"Article reference 34\" data-doi=\"10.1103\/PhysRevLett.123.077201\" target=\"_blank\">Article<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"link\" data-track-item_id=\"link\" data-track-value=\"cas reference\" data-track-action=\"cas reference\" href=\"https:\/\/www.nature.com\/articles\/cas-redirect\/1:CAS:528:DC%2BC1MXhvF2js7%2FE\" aria-label=\"CAS reference 34\" target=\"_blank\">CAS<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"link\" data-track-item_id=\"link\" data-track-value=\"pubmed reference\" data-track-action=\"pubmed reference\" href=\"http:\/\/www.ncbi.nlm.nih.gov\/entrez\/query.fcgi?cmd=Retrieve&amp;db=PubMed&amp;dopt=Abstract&amp;list_uids=31491129\" aria-label=\"PubMed reference 34\" target=\"_blank\">PubMed<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" data-track-action=\"google scholar reference\" data-track-value=\"google scholar reference\" data-track-label=\"link\" data-track-item_id=\"link\" rel=\"nofollow noopener\" aria-label=\"Google Scholar reference 34\" href=\"http:\/\/scholar.google.com\/scholar_lookup?&amp;title=Experimental%20observation%20of%20exchange-driven%20chiral%20effects%20in%20curvilinear%20magnetism&amp;journal=Phys.%20Rev.%20Lett.&amp;doi=10.1103%2FPhysRevLett.123.077201&amp;volume=123&amp;publication_year=2019&amp;author=Volkov%2COM\" target=\"_blank\"><br \/>\n                    Google Scholar<\/a>\u00a0\n                <\/p>\n<\/li>\n<li class=\"c-article-references__item js-c-reading-companion-references-item\" data-counter=\"35.\">\n<p class=\"c-article-references__text\" id=\"ref-CR35\">Farinha, A. M. A., Yang, S.-H., Yoon, J., Pal, B. &amp; Parkin, S. S. P. Interplay of geometrical and spin chiralities in 3D twisted magnetic ribbons. Nature <b>639<\/b>, 67\u201372 (2025).<\/p>\n<p class=\"c-article-references__links u-hide-print\"><a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"10.1038\/s41586-024-08582-8\" data-track-item_id=\"10.1038\/s41586-024-08582-8\" data-track-value=\"article reference\" data-track-action=\"article reference\" href=\"https:\/\/doi.org\/10.1038%2Fs41586-024-08582-8\" aria-label=\"Article reference 35\" data-doi=\"10.1038\/s41586-024-08582-8\" target=\"_blank\">Article<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"link\" data-track-item_id=\"link\" data-track-value=\"cas reference\" data-track-action=\"cas reference\" href=\"https:\/\/www.nature.com\/articles\/cas-redirect\/1:CAS:528:DC%2BB2MXlslWjsrg%3D\" aria-label=\"CAS reference 35\" target=\"_blank\">CAS<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"link\" data-track-item_id=\"link\" data-track-value=\"pubmed reference\" data-track-action=\"pubmed reference\" href=\"http:\/\/www.ncbi.nlm.nih.gov\/entrez\/query.fcgi?cmd=Retrieve&amp;db=PubMed&amp;dopt=Abstract&amp;list_uids=40011790\" aria-label=\"PubMed reference 35\" target=\"_blank\">PubMed<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"link\" data-track-item_id=\"link\" data-track-value=\"pubmed central reference\" data-track-action=\"pubmed central reference\" href=\"http:\/\/www.ncbi.nlm.nih.gov\/pmc\/articles\/PMC11882454\" aria-label=\"PubMed Central reference 35\" target=\"_blank\">PubMed Central<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" data-track-action=\"google scholar reference\" data-track-value=\"google scholar reference\" data-track-label=\"link\" data-track-item_id=\"link\" rel=\"nofollow noopener\" aria-label=\"Google Scholar reference 35\" href=\"http:\/\/scholar.google.com\/scholar_lookup?&amp;title=Interplay%20of%20geometrical%20and%20spin%20chiralities%20in%203D%20twisted%20magnetic%20ribbons&amp;journal=Nature&amp;doi=10.1038%2Fs41586-024-08582-8&amp;volume=639&amp;pages=67-72&amp;publication_year=2025&amp;author=Farinha%2CAMA&amp;author=Yang%2CS-H&amp;author=Yoon%2CJ&amp;author=Pal%2CB&amp;author=Parkin%2CSSP\" target=\"_blank\"><br \/>\n                    Google Scholar<\/a>\u00a0\n                <\/p>\n<\/li>\n<li class=\"c-article-references__item js-c-reading-companion-references-item\" data-counter=\"36.\">\n<p class=\"c-article-references__text\" id=\"ref-CR36\">Volkov, O. M. et al. Chirality coupling in topological magnetic textures with multiple magnetochiral parameters. Nat. Commun. <b>14<\/b>, 1491 (2023).<\/p>\n<p class=\"c-article-references__links u-hide-print\"><a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"10.1038\/s41467-023-37081-z\" data-track-item_id=\"10.1038\/s41467-023-37081-z\" data-track-value=\"article reference\" data-track-action=\"article reference\" href=\"https:\/\/doi.org\/10.1038%2Fs41467-023-37081-z\" aria-label=\"Article reference 36\" data-doi=\"10.1038\/s41467-023-37081-z\" target=\"_blank\">Article<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"link\" data-track-item_id=\"link\" data-track-value=\"cas reference\" data-track-action=\"cas reference\" href=\"https:\/\/www.nature.com\/articles\/cas-redirect\/1:CAS:528:DC%2BB3sXlsl2nurY%3D\" aria-label=\"CAS reference 36\" target=\"_blank\">CAS<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"link\" data-track-item_id=\"link\" data-track-value=\"pubmed reference\" data-track-action=\"pubmed reference\" href=\"http:\/\/www.ncbi.nlm.nih.gov\/entrez\/query.fcgi?cmd=Retrieve&amp;db=PubMed&amp;dopt=Abstract&amp;list_uids=36932066\" aria-label=\"PubMed reference 36\" target=\"_blank\">PubMed<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"link\" data-track-item_id=\"link\" data-track-value=\"pubmed central reference\" data-track-action=\"pubmed central reference\" href=\"http:\/\/www.ncbi.nlm.nih.gov\/pmc\/articles\/PMC10023801\" aria-label=\"PubMed Central reference 36\" target=\"_blank\">PubMed Central<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" data-track-action=\"google scholar reference\" data-track-value=\"google scholar reference\" data-track-label=\"link\" data-track-item_id=\"link\" rel=\"nofollow noopener\" aria-label=\"Google Scholar reference 36\" href=\"http:\/\/scholar.google.com\/scholar_lookup?&amp;title=Chirality%20coupling%20in%20topological%20magnetic%20textures%20with%20multiple%20magnetochiral%20parameters&amp;journal=Nat.%20Commun.&amp;doi=10.1038%2Fs41467-023-37081-z&amp;volume=14&amp;publication_year=2023&amp;author=Volkov%2COM\" target=\"_blank\"><br \/>\n                    Google Scholar<\/a>\u00a0\n                <\/p>\n<\/li>\n<li class=\"c-article-references__item js-c-reading-companion-references-item\" data-counter=\"37.\">\n<p class=\"c-article-references__text\" id=\"ref-CR37\">O\u2019Brien, L. et al. Tunable remote pinning of domain walls in magnetic nanowires. Phys. Rev. Lett. <b>106<\/b>, 087204 (2011).<\/p>\n<p class=\"c-article-references__links u-hide-print\"><a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"10.1103\/PhysRevLett.106.087204\" data-track-item_id=\"10.1103\/PhysRevLett.106.087204\" data-track-value=\"article reference\" data-track-action=\"article reference\" href=\"https:\/\/doi.org\/10.1103%2FPhysRevLett.106.087204\" aria-label=\"Article reference 37\" data-doi=\"10.1103\/PhysRevLett.106.087204\" target=\"_blank\">Article<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"link\" data-track-item_id=\"link\" data-track-value=\"pubmed reference\" data-track-action=\"pubmed reference\" href=\"http:\/\/www.ncbi.nlm.nih.gov\/entrez\/query.fcgi?cmd=Retrieve&amp;db=PubMed&amp;dopt=Abstract&amp;list_uids=21405598\" aria-label=\"PubMed reference 37\" target=\"_blank\">PubMed<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" data-track-action=\"google scholar reference\" data-track-value=\"google scholar reference\" data-track-label=\"link\" data-track-item_id=\"link\" rel=\"nofollow noopener\" aria-label=\"Google Scholar reference 37\" href=\"http:\/\/scholar.google.com\/scholar_lookup?&amp;title=Tunable%20remote%20pinning%20of%20domain%20walls%20in%20magnetic%20nanowires&amp;journal=Phys.%20Rev.%20Lett.&amp;doi=10.1103%2FPhysRevLett.106.087204&amp;volume=106&amp;publication_year=2011&amp;author=O%E2%80%99Brien%2CL\" target=\"_blank\"><br \/>\n                    Google Scholar<\/a>\u00a0\n                <\/p>\n<\/li>\n<li class=\"c-article-references__item js-c-reading-companion-references-item\" data-counter=\"38.\">\n<p class=\"c-article-references__text\" id=\"ref-CR38\">Brajuskovic, V. &amp; Phatak, C. Understanding curvature effects on the magnetization reversal of patterned permalloy Archimedean spirals. Appl. Phys. Lett. <b>118<\/b>, 152409 (2021).<\/p>\n<p class=\"c-article-references__links u-hide-print\"><a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"10.1063\/5.0045698\" data-track-item_id=\"10.1063\/5.0045698\" data-track-value=\"article reference\" data-track-action=\"article reference\" href=\"https:\/\/doi.org\/10.1063%2F5.0045698\" aria-label=\"Article reference 38\" data-doi=\"10.1063\/5.0045698\" target=\"_blank\">Article<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"link\" data-track-item_id=\"link\" data-track-value=\"cas reference\" data-track-action=\"cas reference\" href=\"https:\/\/www.nature.com\/articles\/cas-redirect\/1:CAS:528:DC%2BB3MXptVWgsbk%3D\" aria-label=\"CAS reference 38\" target=\"_blank\">CAS<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" data-track-action=\"google scholar reference\" data-track-value=\"google scholar reference\" data-track-label=\"link\" data-track-item_id=\"link\" rel=\"nofollow noopener\" aria-label=\"Google Scholar reference 38\" href=\"http:\/\/scholar.google.com\/scholar_lookup?&amp;title=Understanding%20curvature%20effects%20on%20the%20magnetization%20reversal%20of%20patterned%20permalloy%20Archimedean%20spirals&amp;journal=Appl.%20Phys.%20Lett.&amp;doi=10.1063%2F5.0045698&amp;volume=118&amp;publication_year=2021&amp;author=Brajuskovic%2CV&amp;author=Phatak%2CC\" target=\"_blank\"><br \/>\n                    Google Scholar<\/a>\u00a0\n                <\/p>\n<\/li>\n<li class=\"c-article-references__item js-c-reading-companion-references-item\" data-counter=\"39.\">\n<p class=\"c-article-references__text\" id=\"ref-CR39\">Berganza, E. et al. Experimental evidence of curvature gradient driven domain wall automotion. Small <b>21<\/b>, 2407084 (2025).<\/p>\n<p class=\"c-article-references__links u-hide-print\"><a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"10.1002\/smll.202407084\" data-track-item_id=\"10.1002\/smll.202407084\" data-track-value=\"article reference\" data-track-action=\"article reference\" href=\"https:\/\/doi.org\/10.1002%2Fsmll.202407084\" aria-label=\"Article reference 39\" data-doi=\"10.1002\/smll.202407084\" target=\"_blank\">Article<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"link\" data-track-item_id=\"link\" data-track-value=\"cas reference\" data-track-action=\"cas reference\" href=\"https:\/\/www.nature.com\/articles\/cas-redirect\/1:CAS:528:DC%2BB2MXjvVKks7c%3D\" aria-label=\"CAS reference 39\" target=\"_blank\">CAS<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" data-track-action=\"google scholar reference\" data-track-value=\"google scholar reference\" data-track-label=\"link\" data-track-item_id=\"link\" rel=\"nofollow noopener\" aria-label=\"Google Scholar reference 39\" href=\"http:\/\/scholar.google.com\/scholar_lookup?&amp;title=Experimental%20evidence%20of%20curvature%20gradient%20driven%20domain%20wall%20automotion&amp;journal=Small&amp;doi=10.1002%2Fsmll.202407084&amp;volume=21&amp;publication_year=2025&amp;author=Berganza%2CE\" target=\"_blank\"><br \/>\n                    Google Scholar<\/a>\u00a0\n                <\/p>\n<\/li>\n<li class=\"c-article-references__item js-c-reading-companion-references-item\" data-counter=\"40.\">\n<p class=\"c-article-references__text\" id=\"ref-CR40\">Cowburn, R. P., Adeyeye, A. O. &amp; Welland, M. E. Configurational anisotropy in nanomagnets. Phys. Rev. Lett. <b>81<\/b>, 5414\u20135417 (1998).<\/p>\n<p class=\"c-article-references__links u-hide-print\"><a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"10.1103\/PhysRevLett.81.5414\" data-track-item_id=\"10.1103\/PhysRevLett.81.5414\" data-track-value=\"article reference\" data-track-action=\"article reference\" href=\"https:\/\/doi.org\/10.1103%2FPhysRevLett.81.5414\" aria-label=\"Article reference 40\" data-doi=\"10.1103\/PhysRevLett.81.5414\" target=\"_blank\">Article<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"link\" data-track-item_id=\"link\" data-track-value=\"cas reference\" data-track-action=\"cas reference\" href=\"https:\/\/www.nature.com\/articles\/cas-redirect\/1:CAS:528:DyaK1cXnvVyntro%3D\" aria-label=\"CAS reference 40\" target=\"_blank\">CAS<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" data-track-action=\"google scholar reference\" data-track-value=\"google scholar reference\" data-track-label=\"link\" data-track-item_id=\"link\" rel=\"nofollow noopener\" aria-label=\"Google Scholar reference 40\" href=\"http:\/\/scholar.google.com\/scholar_lookup?&amp;title=Configurational%20anisotropy%20in%20nanomagnets&amp;journal=Phys.%20Rev.%20Lett.&amp;doi=10.1103%2FPhysRevLett.81.5414&amp;volume=81&amp;pages=5414-5417&amp;publication_year=1998&amp;author=Cowburn%2CRP&amp;author=Adeyeye%2CAO&amp;author=Welland%2CME\" target=\"_blank\"><br \/>\n                    Google Scholar<\/a>\u00a0\n                <\/p>\n<\/li>\n<li class=\"c-article-references__item js-c-reading-companion-references-item\" data-counter=\"41.\">\n<p class=\"c-article-references__text\" id=\"ref-CR41\">Ortix, C., Kiravittaya, S., Schmidt, O. G. &amp; van den Brink, J. Curvature-induced geometric potential in strain-driven nanostructures. Phys. Rev. B <b>84<\/b>, 045438 (2011).<\/p>\n<p class=\"c-article-references__links u-hide-print\"><a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"10.1103\/PhysRevB.84.045438\" data-track-item_id=\"10.1103\/PhysRevB.84.045438\" data-track-value=\"article reference\" data-track-action=\"article reference\" href=\"https:\/\/doi.org\/10.1103%2FPhysRevB.84.045438\" aria-label=\"Article reference 41\" data-doi=\"10.1103\/PhysRevB.84.045438\" target=\"_blank\">Article<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" data-track-action=\"google scholar reference\" data-track-value=\"google scholar reference\" data-track-label=\"link\" data-track-item_id=\"link\" rel=\"nofollow noopener\" aria-label=\"Google Scholar reference 41\" href=\"http:\/\/scholar.google.com\/scholar_lookup?&amp;title=Curvature-induced%20geometric%20potential%20in%20strain-driven%20nanostructures&amp;journal=Phys.%20Rev.%20B&amp;doi=10.1103%2FPhysRevB.84.045438&amp;volume=84&amp;publication_year=2011&amp;author=Ortix%2CC&amp;author=Kiravittaya%2CS&amp;author=Schmidt%2COG&amp;author=Brink%2CJ\" target=\"_blank\"><br \/>\n                    Google Scholar<\/a>\u00a0\n                <\/p>\n<\/li>\n<li class=\"c-article-references__item js-c-reading-companion-references-item\" data-counter=\"42.\">\n<p class=\"c-article-references__text\" id=\"ref-CR42\">Battilomo, R., Scopigno, N. &amp; Ortix, C. Tuning topology in thin films of topological insulators by strain gradients. Phys. Rev. B <b>100<\/b>, 115131 (2019).<\/p>\n<p class=\"c-article-references__links u-hide-print\"><a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"10.1103\/PhysRevB.100.115131\" data-track-item_id=\"10.1103\/PhysRevB.100.115131\" data-track-value=\"article reference\" data-track-action=\"article reference\" href=\"https:\/\/doi.org\/10.1103%2FPhysRevB.100.115131\" aria-label=\"Article reference 42\" data-doi=\"10.1103\/PhysRevB.100.115131\" target=\"_blank\">Article<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"link\" data-track-item_id=\"link\" data-track-value=\"cas reference\" data-track-action=\"cas reference\" href=\"https:\/\/www.nature.com\/articles\/cas-redirect\/1:CAS:528:DC%2BC1MXit1OntrnK\" aria-label=\"CAS reference 42\" target=\"_blank\">CAS<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" data-track-action=\"google scholar reference\" data-track-value=\"google scholar reference\" data-track-label=\"link\" data-track-item_id=\"link\" rel=\"nofollow noopener\" aria-label=\"Google Scholar reference 42\" href=\"http:\/\/scholar.google.com\/scholar_lookup?&amp;title=Tuning%20topology%20in%20thin%20films%20of%20topological%20insulators%20by%20strain%20gradients&amp;journal=Phys.%20Rev.%20B&amp;doi=10.1103%2FPhysRevB.100.115131&amp;volume=100&amp;publication_year=2019&amp;author=Battilomo%2CR&amp;author=Scopigno%2CN&amp;author=Ortix%2CC\" target=\"_blank\"><br \/>\n                    Google Scholar<\/a>\u00a0\n                <\/p>\n<\/li>\n<li class=\"c-article-references__item js-c-reading-companion-references-item\" data-counter=\"43.\">\n<p class=\"c-article-references__text\" id=\"ref-CR43\">Wang, Z. &amp; Zhang, S.-C. Topological invariants and ground-state wave functions of topological insulators on a torus. Phys. Rev. X <b>4<\/b>, 011006 (2014).<\/p>\n<p class=\"c-article-references__links u-hide-print\"><a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"link\" data-track-item_id=\"link\" data-track-value=\"cas reference\" data-track-action=\"cas reference\" href=\"https:\/\/www.nature.com\/articles\/cas-redirect\/1:CAS:528:DC%2BC2cXlsVSlu7k%3D\" aria-label=\"CAS reference 43\" target=\"_blank\">CAS<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" data-track-action=\"google scholar reference\" data-track-value=\"google scholar reference\" data-track-label=\"link\" data-track-item_id=\"link\" rel=\"nofollow noopener\" aria-label=\"Google Scholar reference 43\" href=\"http:\/\/scholar.google.com\/scholar_lookup?&amp;title=Topological%20invariants%20and%20ground-state%20wave%20functions%20of%20topological%20insulators%20on%20a%20torus&amp;journal=Phys.%20Rev.%20X&amp;volume=4&amp;publication_year=2014&amp;author=Wang%2CZ&amp;author=Zhang%2CS-C\" target=\"_blank\"><br \/>\n                    Google Scholar<\/a>\u00a0\n                <\/p>\n<\/li>\n<li class=\"c-article-references__item js-c-reading-companion-references-item\" data-counter=\"44.\">\n<p class=\"c-article-references__text\" id=\"ref-CR44\">Siu, Z. B., Tan, S. G. &amp; Jalil, M. B. A. Effective Hamiltonian for surface states of topological insulator nanotubes. Sci. Rep. <b>7<\/b>, 45350 (2017).<\/p>\n<p class=\"c-article-references__links u-hide-print\"><a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"10.1038\/srep45350\" data-track-item_id=\"10.1038\/srep45350\" data-track-value=\"article reference\" data-track-action=\"article reference\" href=\"https:\/\/doi.org\/10.1038%2Fsrep45350\" aria-label=\"Article reference 44\" data-doi=\"10.1038\/srep45350\" target=\"_blank\">Article<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"link\" data-track-item_id=\"link\" data-track-value=\"cas reference\" data-track-action=\"cas reference\" href=\"https:\/\/www.nature.com\/articles\/cas-redirect\/1:CAS:528:DC%2BC2sXls1KgsLY%3D\" aria-label=\"CAS reference 44\" target=\"_blank\">CAS<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"link\" data-track-item_id=\"link\" data-track-value=\"pubmed reference\" data-track-action=\"pubmed reference\" href=\"http:\/\/www.ncbi.nlm.nih.gov\/entrez\/query.fcgi?cmd=Retrieve&amp;db=PubMed&amp;dopt=Abstract&amp;list_uids=28367970\" aria-label=\"PubMed reference 44\" target=\"_blank\">PubMed<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"link\" data-track-item_id=\"link\" data-track-value=\"pubmed central reference\" data-track-action=\"pubmed central reference\" href=\"http:\/\/www.ncbi.nlm.nih.gov\/pmc\/articles\/PMC5377261\" aria-label=\"PubMed Central reference 44\" target=\"_blank\">PubMed Central<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" data-track-action=\"google scholar reference\" data-track-value=\"google scholar reference\" data-track-label=\"link\" data-track-item_id=\"link\" rel=\"nofollow noopener\" aria-label=\"Google Scholar reference 44\" href=\"http:\/\/scholar.google.com\/scholar_lookup?&amp;title=Effective%20Hamiltonian%20for%20surface%20states%20of%20topological%20insulator%20nanotubes&amp;journal=Sci.%20Rep.&amp;doi=10.1038%2Fsrep45350&amp;volume=7&amp;publication_year=2017&amp;author=Siu%2CZB&amp;author=Tan%2CSG&amp;author=Jalil%2CMBA\" target=\"_blank\"><br \/>\n                    Google Scholar<\/a>\u00a0\n                <\/p>\n<\/li>\n<li class=\"c-article-references__item js-c-reading-companion-references-item\" data-counter=\"45.\">\n<p class=\"c-article-references__text\" id=\"ref-CR45\">Azhar, M., Kravchuk, V. P. &amp; Garst, M. Screw dislocations in chiral magnets. Phys. Rev. Lett. <b>128<\/b>, 157204 (2022).<\/p>\n<p class=\"c-article-references__links u-hide-print\"><a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"10.1103\/PhysRevLett.128.157204\" data-track-item_id=\"10.1103\/PhysRevLett.128.157204\" data-track-value=\"article reference\" data-track-action=\"article reference\" href=\"https:\/\/doi.org\/10.1103%2FPhysRevLett.128.157204\" aria-label=\"Article reference 45\" data-doi=\"10.1103\/PhysRevLett.128.157204\" target=\"_blank\">Article<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"link\" data-track-item_id=\"link\" data-track-value=\"cas reference\" data-track-action=\"cas reference\" href=\"https:\/\/www.nature.com\/articles\/cas-redirect\/1:CAS:528:DC%2BB38Xht1WmurrM\" aria-label=\"CAS reference 45\" target=\"_blank\">CAS<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"link\" data-track-item_id=\"link\" data-track-value=\"pubmed reference\" data-track-action=\"pubmed reference\" href=\"http:\/\/www.ncbi.nlm.nih.gov\/entrez\/query.fcgi?cmd=Retrieve&amp;db=PubMed&amp;dopt=Abstract&amp;list_uids=35499887\" aria-label=\"PubMed reference 45\" target=\"_blank\">PubMed<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" data-track-action=\"google scholar reference\" data-track-value=\"google scholar reference\" data-track-label=\"link\" data-track-item_id=\"link\" rel=\"nofollow noopener\" aria-label=\"Google Scholar reference 45\" href=\"http:\/\/scholar.google.com\/scholar_lookup?&amp;title=Screw%20dislocations%20in%20chiral%20magnets&amp;journal=Phys.%20Rev.%20Lett.&amp;doi=10.1103%2FPhysRevLett.128.157204&amp;volume=128&amp;publication_year=2022&amp;author=Azhar%2CM&amp;author=Kravchuk%2CVP&amp;author=Garst%2CM\" target=\"_blank\"><br \/>\n                    Google Scholar<\/a>\u00a0\n                <\/p>\n<\/li>\n<li class=\"c-article-references__item js-c-reading-companion-references-item\" data-counter=\"46.\">\n<p class=\"c-article-references__text\" id=\"ref-CR46\">Pylypovskyi, O. V. et al. Interaction of domain walls with grain boundaries in uniaxial insulating antiferromagnets. Phys. Rev. Appl. <b>20<\/b>, 014020 (2023).<\/p>\n<p class=\"c-article-references__links u-hide-print\"><a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"10.1103\/PhysRevApplied.20.014020\" data-track-item_id=\"10.1103\/PhysRevApplied.20.014020\" data-track-value=\"article reference\" data-track-action=\"article reference\" href=\"https:\/\/doi.org\/10.1103%2FPhysRevApplied.20.014020\" aria-label=\"Article reference 46\" data-doi=\"10.1103\/PhysRevApplied.20.014020\" target=\"_blank\">Article<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"link\" data-track-item_id=\"link\" data-track-value=\"cas reference\" data-track-action=\"cas reference\" href=\"https:\/\/www.nature.com\/articles\/cas-redirect\/1:CAS:528:DC%2BB3sXhs1GrtrvE\" aria-label=\"CAS reference 46\" target=\"_blank\">CAS<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" data-track-action=\"google scholar reference\" data-track-value=\"google scholar reference\" data-track-label=\"link\" data-track-item_id=\"link\" rel=\"nofollow noopener\" aria-label=\"Google Scholar reference 46\" href=\"http:\/\/scholar.google.com\/scholar_lookup?&amp;title=Interaction%20of%20domain%20walls%20with%20grain%20boundaries%20in%20uniaxial%20insulating%20antiferromagnets&amp;journal=Phys.%20Rev.%20Appl.&amp;doi=10.1103%2FPhysRevApplied.20.014020&amp;volume=20&amp;publication_year=2023&amp;author=Pylypovskyi%2COV\" target=\"_blank\"><br \/>\n                    Google Scholar<\/a>\u00a0\n                <\/p>\n<\/li>\n<li class=\"c-article-references__item js-c-reading-companion-references-item\" data-counter=\"47.\">\n<p class=\"c-article-references__text\" id=\"ref-CR47\">Belyaev, B. A., Izotov, A. V., Solovev, P. N. &amp; Boev, N. M. Strain-gradient-induced unidirectional magnetic anisotropy in nanocrystalline thin permalloy films. Phys. Status Solidi RRL <b>14<\/b>, 1900467 (2020).<\/p>\n<p class=\"c-article-references__links u-hide-print\"><a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"10.1002\/pssr.201900467\" data-track-item_id=\"10.1002\/pssr.201900467\" data-track-value=\"article reference\" data-track-action=\"article reference\" href=\"https:\/\/doi.org\/10.1002%2Fpssr.201900467\" aria-label=\"Article reference 47\" data-doi=\"10.1002\/pssr.201900467\" target=\"_blank\">Article<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"link\" data-track-item_id=\"link\" data-track-value=\"cas reference\" data-track-action=\"cas reference\" href=\"https:\/\/www.nature.com\/articles\/cas-redirect\/1:CAS:528:DC%2BC1MXitVersbjJ\" aria-label=\"CAS reference 47\" target=\"_blank\">CAS<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" data-track-action=\"google scholar reference\" data-track-value=\"google scholar reference\" data-track-label=\"link\" data-track-item_id=\"link\" rel=\"nofollow noopener\" aria-label=\"Google Scholar reference 47\" href=\"http:\/\/scholar.google.com\/scholar_lookup?&amp;title=Strain-gradient-induced%20unidirectional%20magnetic%20anisotropy%20in%20nanocrystalline%20thin%20permalloy%20films&amp;journal=Phys.%20Status%20Solidi%20RRL&amp;doi=10.1002%2Fpssr.201900467&amp;volume=14&amp;publication_year=2020&amp;author=Belyaev%2CBA&amp;author=Izotov%2CAV&amp;author=Solovev%2CPN&amp;author=Boev%2CNM\" target=\"_blank\"><br \/>\n                    Google Scholar<\/a>\u00a0\n                <\/p>\n<\/li>\n<li class=\"c-article-references__item js-c-reading-companion-references-item\" data-counter=\"48.\">\n<p class=\"c-article-references__text\" id=\"ref-CR48\">Qiao, L. et al. Curvature-induced magnetization in a CrI3 bilayer: flexomagnetic effect enhancement in van der Waals antiferromagnets. Phys. Rev. B <b>109<\/b>, 014410 (2024).<\/p>\n<p class=\"c-article-references__links u-hide-print\"><a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"10.1103\/PhysRevB.109.014410\" data-track-item_id=\"10.1103\/PhysRevB.109.014410\" data-track-value=\"article reference\" data-track-action=\"article reference\" href=\"https:\/\/doi.org\/10.1103%2FPhysRevB.109.014410\" aria-label=\"Article reference 48\" data-doi=\"10.1103\/PhysRevB.109.014410\" target=\"_blank\">Article<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"link\" data-track-item_id=\"link\" data-track-value=\"cas reference\" data-track-action=\"cas reference\" href=\"https:\/\/www.nature.com\/articles\/cas-redirect\/1:CAS:528:DC%2BB2cXjslWrs70%3D\" aria-label=\"CAS reference 48\" target=\"_blank\">CAS<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" data-track-action=\"google scholar reference\" data-track-value=\"google scholar reference\" data-track-label=\"link\" data-track-item_id=\"link\" rel=\"nofollow noopener\" aria-label=\"Google Scholar reference 48\" href=\"http:\/\/scholar.google.com\/scholar_lookup?&amp;title=Curvature-induced%20magnetization%20in%20a%20CrI3%20bilayer%3A%20flexomagnetic%20effect%20enhancement%20in%20van%20der%20Waals%20antiferromagnets&amp;journal=Phys.%20Rev.%20B&amp;doi=10.1103%2FPhysRevB.109.014410&amp;volume=109&amp;publication_year=2024&amp;author=Qiao%2CL\" target=\"_blank\"><br \/>\n                    Google Scholar<\/a>\u00a0\n                <\/p>\n<\/li>\n<li class=\"c-article-references__item js-c-reading-companion-references-item\" data-counter=\"49.\">\n<p class=\"c-article-references__text\" id=\"ref-CR49\">Shen, Y. et al. Giant flexomagnetoelectric effect in dilute magnetic monolayer. Adv. Theory Simul. <b>1<\/b>, 1800048 (2018).<\/p>\n<p class=\"c-article-references__links u-hide-print\"><a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"10.1002\/adts.201800048\" data-track-item_id=\"10.1002\/adts.201800048\" data-track-value=\"article reference\" data-track-action=\"article reference\" href=\"https:\/\/doi.org\/10.1002%2Fadts.201800048\" aria-label=\"Article reference 49\" data-doi=\"10.1002\/adts.201800048\" target=\"_blank\">Article<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" data-track-action=\"google scholar reference\" data-track-value=\"google scholar reference\" data-track-label=\"link\" data-track-item_id=\"link\" rel=\"nofollow noopener\" aria-label=\"Google Scholar reference 49\" href=\"http:\/\/scholar.google.com\/scholar_lookup?&amp;title=Giant%20flexomagnetoelectric%20effect%20in%20dilute%20magnetic%20monolayer&amp;journal=Adv.%20Theory%20Simul.&amp;doi=10.1002%2Fadts.201800048&amp;volume=1&amp;publication_year=2018&amp;author=Shen%2CY\" target=\"_blank\"><br \/>\n                    Google Scholar<\/a>\u00a0\n                <\/p>\n<\/li>\n<li class=\"c-article-references__item js-c-reading-companion-references-item\" data-counter=\"50.\">\n<p class=\"c-article-references__text\" id=\"ref-CR50\">Makushko, P. et al. Flexomagnetism and vertically graded N\u00e9el temperature of antiferromagnetic Cr2O3 thin films. Nat. Commun. <b>13<\/b>, 6745 (2022).<\/p>\n<p class=\"c-article-references__links u-hide-print\"><a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"10.1038\/s41467-022-34233-5\" data-track-item_id=\"10.1038\/s41467-022-34233-5\" data-track-value=\"article reference\" data-track-action=\"article reference\" href=\"https:\/\/doi.org\/10.1038%2Fs41467-022-34233-5\" aria-label=\"Article reference 50\" data-doi=\"10.1038\/s41467-022-34233-5\" target=\"_blank\">Article<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"link\" data-track-item_id=\"link\" data-track-value=\"cas reference\" data-track-action=\"cas reference\" href=\"https:\/\/www.nature.com\/articles\/cas-redirect\/1:CAS:528:DC%2BB38XivVOisrjN\" aria-label=\"CAS reference 50\" target=\"_blank\">CAS<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"link\" data-track-item_id=\"link\" data-track-value=\"pubmed reference\" data-track-action=\"pubmed reference\" href=\"http:\/\/www.ncbi.nlm.nih.gov\/entrez\/query.fcgi?cmd=Retrieve&amp;db=PubMed&amp;dopt=Abstract&amp;list_uids=36347852\" aria-label=\"PubMed reference 50\" target=\"_blank\">PubMed<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"link\" data-track-item_id=\"link\" data-track-value=\"pubmed central reference\" data-track-action=\"pubmed central reference\" href=\"http:\/\/www.ncbi.nlm.nih.gov\/pmc\/articles\/PMC9643371\" aria-label=\"PubMed Central reference 50\" target=\"_blank\">PubMed Central<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" data-track-action=\"google scholar reference\" data-track-value=\"google scholar reference\" data-track-label=\"link\" data-track-item_id=\"link\" rel=\"nofollow noopener\" aria-label=\"Google Scholar reference 50\" href=\"http:\/\/scholar.google.com\/scholar_lookup?&amp;title=Flexomagnetism%20and%20vertically%20graded%20N%C3%A9el%20temperature%20of%20antiferromagnetic%20Cr2O3%20thin%20films&amp;journal=Nat.%20Commun.&amp;doi=10.1038%2Fs41467-022-34233-5&amp;volume=13&amp;publication_year=2022&amp;author=Makushko%2CP\" target=\"_blank\"><br \/>\n                    Google Scholar<\/a>\u00a0\n                <\/p>\n<\/li>\n<li class=\"c-article-references__item js-c-reading-companion-references-item\" data-counter=\"51.\">\n<p class=\"c-article-references__text\" id=\"ref-CR51\">Tao, P., Guo, H., Yang, T. &amp; Zhang, Z. Strain-induced magnetism in MoS2 monolayer with defects. J. Appl. Phys. <b>115<\/b>, 054305 (2014).<\/p>\n<p class=\"c-article-references__links u-hide-print\"><a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"10.1063\/1.4864015\" data-track-item_id=\"10.1063\/1.4864015\" data-track-value=\"article reference\" data-track-action=\"article reference\" href=\"https:\/\/doi.org\/10.1063%2F1.4864015\" aria-label=\"Article reference 51\" data-doi=\"10.1063\/1.4864015\" target=\"_blank\">Article<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" data-track-action=\"google scholar reference\" data-track-value=\"google scholar reference\" data-track-label=\"link\" data-track-item_id=\"link\" rel=\"nofollow noopener\" aria-label=\"Google Scholar reference 51\" href=\"http:\/\/scholar.google.com\/scholar_lookup?&amp;title=Strain-induced%20magnetism%20in%20MoS2%20monolayer%20with%20defects&amp;journal=J.%20Appl.%20Phys.&amp;doi=10.1063%2F1.4864015&amp;volume=115&amp;publication_year=2014&amp;author=Tao%2CP&amp;author=Guo%2CH&amp;author=Yang%2CT&amp;author=Zhang%2CZ\" target=\"_blank\"><br \/>\n                    Google Scholar<\/a>\u00a0\n                <\/p>\n<\/li>\n<li class=\"c-article-references__item js-c-reading-companion-references-item\" data-counter=\"52.\">\n<p class=\"c-article-references__text\" id=\"ref-CR52\">Grubi\u0161i\u0107-\u010cabo, A. et al. Roadmap on quantum magnetic materials. 2D Mater. <b>12<\/b>, 031501 (2025).<\/p>\n<p class=\"c-article-references__links u-hide-print\"><a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"10.1088\/2053-1583\/adbe89\" data-track-item_id=\"10.1088\/2053-1583\/adbe89\" data-track-value=\"article reference\" data-track-action=\"article reference\" href=\"https:\/\/doi.org\/10.1088%2F2053-1583%2Fadbe89\" aria-label=\"Article reference 52\" data-doi=\"10.1088\/2053-1583\/adbe89\" target=\"_blank\">Article<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" data-track-action=\"google scholar reference\" data-track-value=\"google scholar reference\" data-track-label=\"link\" data-track-item_id=\"link\" rel=\"nofollow noopener\" aria-label=\"Google Scholar reference 52\" href=\"http:\/\/scholar.google.com\/scholar_lookup?&amp;title=Roadmap%20on%20quantum%20magnetic%20materials&amp;journal=2D%20Mater.&amp;doi=10.1088%2F2053-1583%2Fadbe89&amp;volume=12&amp;publication_year=2025&amp;author=Grubi%C5%A1i%C4%87-%C4%8Cabo%2CA\" target=\"_blank\"><br \/>\n                    Google Scholar<\/a>\u00a0\n                <\/p>\n<\/li>\n<li class=\"c-article-references__item js-c-reading-companion-references-item\" data-counter=\"53.\">\n<p class=\"c-article-references__text\" id=\"ref-CR53\">Edstr\u00f6m, A., Amoroso, D., Picozzi, S., Barone, P. &amp; Stengel, M. Curved magnetism in CrI3. Phys. Rev. Lett. <b>128<\/b>, 177202 (2022).<\/p>\n<p class=\"c-article-references__links u-hide-print\"><a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"10.1103\/PhysRevLett.128.177202\" data-track-item_id=\"10.1103\/PhysRevLett.128.177202\" data-track-value=\"article reference\" data-track-action=\"article reference\" href=\"https:\/\/doi.org\/10.1103%2FPhysRevLett.128.177202\" aria-label=\"Article reference 53\" data-doi=\"10.1103\/PhysRevLett.128.177202\" target=\"_blank\">Article<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"link\" data-track-item_id=\"link\" data-track-value=\"pubmed reference\" data-track-action=\"pubmed reference\" href=\"http:\/\/www.ncbi.nlm.nih.gov\/entrez\/query.fcgi?cmd=Retrieve&amp;db=PubMed&amp;dopt=Abstract&amp;list_uids=35570427\" aria-label=\"PubMed reference 53\" target=\"_blank\">PubMed<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" data-track-action=\"google scholar reference\" data-track-value=\"google scholar reference\" data-track-label=\"link\" data-track-item_id=\"link\" rel=\"nofollow noopener\" aria-label=\"Google Scholar reference 53\" href=\"http:\/\/scholar.google.com\/scholar_lookup?&amp;title=Curved%20magnetism%20in%20CrI3&amp;journal=Phys.%20Rev.%20Lett.&amp;doi=10.1103%2FPhysRevLett.128.177202&amp;volume=128&amp;publication_year=2022&amp;author=Edstr%C3%B6m%2CA&amp;author=Amoroso%2CD&amp;author=Picozzi%2CS&amp;author=Barone%2CP&amp;author=Stengel%2CM\" target=\"_blank\"><br \/>\n                    Google Scholar<\/a>\u00a0\n                <\/p>\n<\/li>\n<li class=\"c-article-references__item js-c-reading-companion-references-item\" data-counter=\"54.\">\n<p class=\"c-article-references__text\" id=\"ref-CR54\">Bagani, K. et al. Imaging strain-controlled magnetic reversal in thin CrSBr. Nano Lett. <b>24<\/b>, 13068\u201313074 (2024).<\/p>\n<\/li>\n<li class=\"c-article-references__item js-c-reading-companion-references-item\" data-counter=\"55.\">\n<p class=\"c-article-references__text\" id=\"ref-CR55\">Jin, S. et al. Strain gradient induced skyrmion in a van der Waals magnet by wrinkling. Adv. Mater. <b>37<\/b>, 2501935 (2025).<\/p>\n<p class=\"c-article-references__links u-hide-print\"><a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"10.1002\/adma.202501935\" data-track-item_id=\"10.1002\/adma.202501935\" data-track-value=\"article reference\" data-track-action=\"article reference\" href=\"https:\/\/doi.org\/10.1002%2Fadma.202501935\" aria-label=\"Article reference 55\" data-doi=\"10.1002\/adma.202501935\" target=\"_blank\">Article<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"link\" data-track-item_id=\"link\" data-track-value=\"cas reference\" data-track-action=\"cas reference\" href=\"https:\/\/www.nature.com\/articles\/cas-redirect\/1:CAS:528:DC%2BB2MXhsFyqt7rN\" aria-label=\"CAS reference 55\" target=\"_blank\">CAS<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" data-track-action=\"google scholar reference\" data-track-value=\"google scholar reference\" data-track-label=\"link\" data-track-item_id=\"link\" rel=\"nofollow noopener\" aria-label=\"Google Scholar reference 55\" href=\"http:\/\/scholar.google.com\/scholar_lookup?&amp;title=Strain%20gradient%20induced%20skyrmion%20in%20a%20van%20der%20Waals%20magnet%20by%20wrinkling&amp;journal=Adv.%20Mater.&amp;doi=10.1002%2Fadma.202501935&amp;volume=37&amp;publication_year=2025&amp;author=Jin%2CS\" target=\"_blank\"><br \/>\n                    Google Scholar<\/a>\u00a0\n                <\/p>\n<\/li>\n<li class=\"c-article-references__item js-c-reading-companion-references-item\" data-counter=\"56.\">\n<p class=\"c-article-references__text\" id=\"ref-CR56\">Feng, C. et al. Giant strain control of antiferromagnetic moment in metallic FeMn by tuning exchange spring structure. Adv. Funct. Mater. <b>30<\/b>, 1909708 (2020).<\/p>\n<\/li>\n<li class=\"c-article-references__item js-c-reading-companion-references-item\" data-counter=\"57.\">\n<p class=\"c-article-references__text\" id=\"ref-CR57\">Ni, Z. et al. Imaging the N\u00e9el vector switching in the monolayer antiferromagnet MnPSe3 with strain-controlled Ising order. Nat. Nanotechnol. <b>16<\/b>, 782\u2013787 (2021).<\/p>\n<p class=\"c-article-references__links u-hide-print\"><a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"10.1038\/s41565-021-00885-5\" data-track-item_id=\"10.1038\/s41565-021-00885-5\" data-track-value=\"article reference\" data-track-action=\"article reference\" href=\"https:\/\/doi.org\/10.1038%2Fs41565-021-00885-5\" aria-label=\"Article reference 57\" data-doi=\"10.1038\/s41565-021-00885-5\" target=\"_blank\">Article<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"link\" data-track-item_id=\"link\" data-track-value=\"cas reference\" data-track-action=\"cas reference\" href=\"https:\/\/www.nature.com\/articles\/cas-redirect\/1:CAS:528:DC%2BB3MXptFWisLk%3D\" aria-label=\"CAS reference 57\" target=\"_blank\">CAS<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"link\" data-track-item_id=\"link\" data-track-value=\"pubmed reference\" data-track-action=\"pubmed reference\" href=\"http:\/\/www.ncbi.nlm.nih.gov\/entrez\/query.fcgi?cmd=Retrieve&amp;db=PubMed&amp;dopt=Abstract&amp;list_uids=33875873\" aria-label=\"PubMed reference 57\" target=\"_blank\">PubMed<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" data-track-action=\"google scholar reference\" data-track-value=\"google scholar reference\" data-track-label=\"link\" data-track-item_id=\"link\" rel=\"nofollow noopener\" aria-label=\"Google Scholar reference 57\" href=\"http:\/\/scholar.google.com\/scholar_lookup?&amp;title=Imaging%20the%20N%C3%A9el%20vector%20switching%20in%20the%20monolayer%20antiferromagnet%20MnPSe3%20with%20strain-controlled%20Ising%20order&amp;journal=Nat.%20Nanotechnol.&amp;doi=10.1038%2Fs41565-021-00885-5&amp;volume=16&amp;pages=782-787&amp;publication_year=2021&amp;author=Ni%2CZ\" target=\"_blank\"><br \/>\n                    Google Scholar<\/a>\u00a0\n                <\/p>\n<\/li>\n<li class=\"c-article-references__item js-c-reading-companion-references-item\" data-counter=\"58.\">\n<p class=\"c-article-references__text\" id=\"ref-CR58\">Chakraborty, A., Gonz\u00e1lez Hern\u00e1ndez, R., \u0160mejkal, L. &amp; Sinova, J. Strain-induced phase transition from antiferromagnet to altermagnet. Phys. Rev. B <b>109<\/b>, 144421 (2024).<\/p>\n<p class=\"c-article-references__links u-hide-print\"><a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"10.1103\/PhysRevB.109.144421\" data-track-item_id=\"10.1103\/PhysRevB.109.144421\" data-track-value=\"article reference\" data-track-action=\"article reference\" href=\"https:\/\/doi.org\/10.1103%2FPhysRevB.109.144421\" aria-label=\"Article reference 58\" data-doi=\"10.1103\/PhysRevB.109.144421\" target=\"_blank\">Article<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"link\" data-track-item_id=\"link\" data-track-value=\"cas reference\" data-track-action=\"cas reference\" href=\"https:\/\/www.nature.com\/articles\/cas-redirect\/1:CAS:528:DC%2BB2cXhtVagurvM\" aria-label=\"CAS reference 58\" target=\"_blank\">CAS<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" data-track-action=\"google scholar reference\" data-track-value=\"google scholar reference\" data-track-label=\"link\" data-track-item_id=\"link\" rel=\"nofollow noopener\" aria-label=\"Google Scholar reference 58\" href=\"http:\/\/scholar.google.com\/scholar_lookup?&amp;title=Strain-induced%20phase%20transition%20from%20antiferromagnet%20to%20altermagnet&amp;journal=Phys.%20Rev.%20B&amp;doi=10.1103%2FPhysRevB.109.144421&amp;volume=109&amp;publication_year=2024&amp;author=Chakraborty%2CA&amp;author=Gonz%C3%A1lez%20Hern%C3%A1ndez%2CR&amp;author=%C5%A0mejkal%2CL&amp;author=Sinova%2CJ\" target=\"_blank\"><br \/>\n                    Google Scholar<\/a>\u00a0\n                <\/p>\n<\/li>\n<li class=\"c-article-references__item js-c-reading-companion-references-item\" data-counter=\"59.\">\n<p class=\"c-article-references__text\" id=\"ref-CR59\">Belashchenko, K. D. Giant strain-induced spin splitting effect in MnTe, a g-wave altermagnetic semiconductor. Phys. Rev. Lett. <b>134<\/b>, 086701 (2025).<\/p>\n<p class=\"c-article-references__links u-hide-print\"><a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"10.1103\/PhysRevLett.134.086701\" data-track-item_id=\"10.1103\/PhysRevLett.134.086701\" data-track-value=\"article reference\" data-track-action=\"article reference\" href=\"https:\/\/doi.org\/10.1103%2FPhysRevLett.134.086701\" aria-label=\"Article reference 59\" data-doi=\"10.1103\/PhysRevLett.134.086701\" target=\"_blank\">Article<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"link\" data-track-item_id=\"link\" data-track-value=\"cas reference\" data-track-action=\"cas reference\" href=\"https:\/\/www.nature.com\/articles\/cas-redirect\/1:CAS:528:DC%2BB2MXmtFOkurw%3D\" aria-label=\"CAS reference 59\" target=\"_blank\">CAS<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"link\" data-track-item_id=\"link\" data-track-value=\"pubmed reference\" data-track-action=\"pubmed reference\" href=\"http:\/\/www.ncbi.nlm.nih.gov\/entrez\/query.fcgi?cmd=Retrieve&amp;db=PubMed&amp;dopt=Abstract&amp;list_uids=40085866\" aria-label=\"PubMed reference 59\" target=\"_blank\">PubMed<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" data-track-action=\"google scholar reference\" data-track-value=\"google scholar reference\" data-track-label=\"link\" data-track-item_id=\"link\" rel=\"nofollow noopener\" aria-label=\"Google Scholar reference 59\" href=\"http:\/\/scholar.google.com\/scholar_lookup?&amp;title=Giant%20strain-induced%20spin%20splitting%20effect%20in%20MnTe%2C%20a%20g-wave%20altermagnetic%20semiconductor&amp;journal=Phys.%20Rev.%20Lett.&amp;doi=10.1103%2FPhysRevLett.134.086701&amp;volume=134&amp;publication_year=2025&amp;author=Belashchenko%2CKD\" target=\"_blank\"><br \/>\n                    Google Scholar<\/a>\u00a0\n                <\/p>\n<\/li>\n<li class=\"c-article-references__item js-c-reading-companion-references-item\" data-counter=\"60.\">\n<p class=\"c-article-references__text\" id=\"ref-CR60\">Khodas, M., Mu, S., Mazin, I. I. &amp; Belashchenko, K. D. Tuning of altermagnetism by strain. Phys. Rev. B <b>113<\/b>, 104422 (2026).<\/p>\n<p class=\"c-article-references__links u-hide-print\"><a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"10.1103\/r7mn-yklk\" data-track-item_id=\"10.1103\/r7mn-yklk\" data-track-value=\"article reference\" data-track-action=\"article reference\" href=\"https:\/\/doi.org\/10.1103%2Fr7mn-yklk\" aria-label=\"Article reference 60\" data-doi=\"10.1103\/r7mn-yklk\" target=\"_blank\">Article<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"link\" data-track-item_id=\"link\" data-track-value=\"cas reference\" data-track-action=\"cas reference\" href=\"https:\/\/www.nature.com\/articles\/cas-redirect\/1:CAS:528:DC%2BB28Xps1Omt7c%3D\" aria-label=\"CAS reference 60\" target=\"_blank\">CAS<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" data-track-action=\"google scholar reference\" data-track-value=\"google scholar reference\" data-track-label=\"link\" data-track-item_id=\"link\" rel=\"nofollow noopener\" aria-label=\"Google Scholar reference 60\" href=\"http:\/\/scholar.google.com\/scholar_lookup?&amp;title=Tuning%20of%20altermagnetism%20by%20strain&amp;journal=Phys.%20Rev.%20B&amp;doi=10.1103%2Fr7mn-yklk&amp;volume=113&amp;publication_year=2026&amp;author=Khodas%2CM&amp;author=Mu%2CS&amp;author=Mazin%2CII&amp;author=Belashchenko%2CKD\" target=\"_blank\"><br \/>\n                    Google Scholar<\/a>\u00a0\n                <\/p>\n<\/li>\n<li class=\"c-article-references__item js-c-reading-companion-references-item\" data-counter=\"61.\">\n<p class=\"c-article-references__text\" id=\"ref-CR61\">Thiel, L. et al. Probing magnetism in 2D materials at the nanoscale with single-spin microscopy. Science <b>364<\/b>, 973\u2013976 (2019).<\/p>\n<p class=\"c-article-references__links u-hide-print\"><a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"10.1126\/science.aav6926\" data-track-item_id=\"10.1126\/science.aav6926\" data-track-value=\"article reference\" data-track-action=\"article reference\" href=\"https:\/\/doi.org\/10.1126%2Fscience.aav6926\" aria-label=\"Article reference 61\" data-doi=\"10.1126\/science.aav6926\" target=\"_blank\">Article<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"link\" data-track-item_id=\"link\" data-track-value=\"cas reference\" data-track-action=\"cas reference\" href=\"https:\/\/www.nature.com\/articles\/cas-redirect\/1:CAS:528:DC%2BC1MXhtFCmu7fF\" aria-label=\"CAS reference 61\" target=\"_blank\">CAS<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"link\" data-track-item_id=\"link\" data-track-value=\"pubmed reference\" data-track-action=\"pubmed reference\" href=\"http:\/\/www.ncbi.nlm.nih.gov\/entrez\/query.fcgi?cmd=Retrieve&amp;db=PubMed&amp;dopt=Abstract&amp;list_uids=31023891\" aria-label=\"PubMed reference 61\" target=\"_blank\">PubMed<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" data-track-action=\"google scholar reference\" data-track-value=\"google scholar reference\" data-track-label=\"link\" data-track-item_id=\"link\" rel=\"nofollow noopener\" aria-label=\"Google Scholar reference 61\" href=\"http:\/\/scholar.google.com\/scholar_lookup?&amp;title=Probing%20magnetism%20in%202D%20materials%20at%20the%20nanoscale%20with%20single-spin%20microscopy&amp;journal=Science&amp;doi=10.1126%2Fscience.aav6926&amp;volume=364&amp;pages=973-976&amp;publication_year=2019&amp;author=Thiel%2CL\" target=\"_blank\"><br \/>\n                    Google Scholar<\/a>\u00a0\n                <\/p>\n<\/li>\n<li class=\"c-article-references__item js-c-reading-companion-references-item\" data-counter=\"62.\">\n<p class=\"c-article-references__text\" id=\"ref-CR62\">Jin, S. et al. Local manipulation of skyrmion lattice in Fe3GaTe2 at room temperature. J. Materiomics <b>11<\/b>, 100865 (2025).<\/p>\n<p class=\"c-article-references__links u-hide-print\"><a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"10.1016\/j.jmat.2024.03.010\" data-track-item_id=\"10.1016\/j.jmat.2024.03.010\" data-track-value=\"article reference\" data-track-action=\"article reference\" href=\"https:\/\/doi.org\/10.1016%2Fj.jmat.2024.03.010\" aria-label=\"Article reference 62\" data-doi=\"10.1016\/j.jmat.2024.03.010\" target=\"_blank\">Article<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" data-track-action=\"google scholar reference\" data-track-value=\"google scholar reference\" data-track-label=\"link\" data-track-item_id=\"link\" rel=\"nofollow noopener\" aria-label=\"Google Scholar reference 62\" href=\"http:\/\/scholar.google.com\/scholar_lookup?&amp;title=Local%20manipulation%20of%20skyrmion%20lattice%20in%20Fe3GaTe2%20at%20room%20temperature&amp;journal=J.%20Materiomics&amp;doi=10.1016%2Fj.jmat.2024.03.010&amp;volume=11&amp;publication_year=2025&amp;author=Jin%2CS\" target=\"_blank\"><br \/>\n                    Google Scholar<\/a>\u00a0\n                <\/p>\n<\/li>\n<li class=\"c-article-references__item js-c-reading-companion-references-item\" data-counter=\"63.\">\n<p class=\"c-article-references__text\" id=\"ref-CR63\">Challab, N., Faurie, D., Haboussi, M. &amp; Zighem, F. Effects of heterogeneous strain on the magnetization processes in magnetic nanomembranes. Phys. Status Solidi RRL <b>15<\/b>, 2100149 (2021).<\/p>\n<p class=\"c-article-references__links u-hide-print\"><a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"10.1002\/pssr.202100149\" data-track-item_id=\"10.1002\/pssr.202100149\" data-track-value=\"article reference\" data-track-action=\"article reference\" href=\"https:\/\/doi.org\/10.1002%2Fpssr.202100149\" aria-label=\"Article reference 63\" data-doi=\"10.1002\/pssr.202100149\" target=\"_blank\">Article<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"link\" data-track-item_id=\"link\" data-track-value=\"cas reference\" data-track-action=\"cas reference\" href=\"https:\/\/www.nature.com\/articles\/cas-redirect\/1:CAS:528:DC%2BB3MXht1GmtbvM\" aria-label=\"CAS reference 63\" target=\"_blank\">CAS<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" data-track-action=\"google scholar reference\" data-track-value=\"google scholar reference\" data-track-label=\"link\" data-track-item_id=\"link\" rel=\"nofollow noopener\" aria-label=\"Google Scholar reference 63\" href=\"http:\/\/scholar.google.com\/scholar_lookup?&amp;title=Effects%20of%20heterogeneous%20strain%20on%20the%20magnetization%20processes%20in%20magnetic%20nanomembranes&amp;journal=Phys.%20Status%20Solidi%20RRL&amp;doi=10.1002%2Fpssr.202100149&amp;volume=15&amp;publication_year=2021&amp;author=Challab%2CN&amp;author=Faurie%2CD&amp;author=Haboussi%2CM&amp;author=Zighem%2CF\" target=\"_blank\"><br \/>\n                    Google Scholar<\/a>\u00a0\n                <\/p>\n<\/li>\n<li class=\"c-article-references__item js-c-reading-companion-references-item\" data-counter=\"64.\">\n<p class=\"c-article-references__text\" id=\"ref-CR64\">Chiroli, S., Faurie, D., Haboussi, M., Adeyeye, A. O. &amp; Zighem, F. Magnetization dynamics of elastically strained nanostructures studied by coupled micromagnetic-mechanical simulations. Phys. Rev. B <b>108<\/b>, 024406 (2023).<\/p>\n<p class=\"c-article-references__links u-hide-print\"><a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"10.1103\/PhysRevB.108.024406\" data-track-item_id=\"10.1103\/PhysRevB.108.024406\" data-track-value=\"article reference\" data-track-action=\"article reference\" href=\"https:\/\/doi.org\/10.1103%2FPhysRevB.108.024406\" aria-label=\"Article reference 64\" data-doi=\"10.1103\/PhysRevB.108.024406\" target=\"_blank\">Article<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"link\" data-track-item_id=\"link\" data-track-value=\"cas reference\" data-track-action=\"cas reference\" href=\"https:\/\/www.nature.com\/articles\/cas-redirect\/1:CAS:528:DC%2BB3sXhs1Gmt77O\" aria-label=\"CAS reference 64\" target=\"_blank\">CAS<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" data-track-action=\"google scholar reference\" data-track-value=\"google scholar reference\" data-track-label=\"link\" data-track-item_id=\"link\" rel=\"nofollow noopener\" aria-label=\"Google Scholar reference 64\" href=\"http:\/\/scholar.google.com\/scholar_lookup?&amp;title=Magnetization%20dynamics%20of%20elastically%20strained%20nanostructures%20studied%20by%20coupled%20micromagnetic-mechanical%20simulations&amp;journal=Phys.%20Rev.%20B&amp;doi=10.1103%2FPhysRevB.108.024406&amp;volume=108&amp;publication_year=2023&amp;author=Chiroli%2CS&amp;author=Faurie%2CD&amp;author=Haboussi%2CM&amp;author=Adeyeye%2CAO&amp;author=Zighem%2CF\" target=\"_blank\"><br \/>\n                    Google Scholar<\/a>\u00a0\n                <\/p>\n<\/li>\n<li class=\"c-article-references__item js-c-reading-companion-references-item\" data-counter=\"65.\">\n<p class=\"c-article-references__text\" id=\"ref-CR65\">Ortix, C. &amp; van den Brink, J. Magnetoelectricity induced by rippling of magnetic nanomembranes and wires. Phys. Rev. Res. <b>5<\/b>, L022063 (2023).<\/p>\n<p class=\"c-article-references__links u-hide-print\"><a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"10.1103\/PhysRevResearch.5.L022063\" data-track-item_id=\"10.1103\/PhysRevResearch.5.L022063\" data-track-value=\"article reference\" data-track-action=\"article reference\" href=\"https:\/\/doi.org\/10.1103%2FPhysRevResearch.5.L022063\" aria-label=\"Article reference 65\" data-doi=\"10.1103\/PhysRevResearch.5.L022063\" target=\"_blank\">Article<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"link\" data-track-item_id=\"link\" data-track-value=\"cas reference\" data-track-action=\"cas reference\" href=\"https:\/\/www.nature.com\/articles\/cas-redirect\/1:CAS:528:DC%2BB3sXhsFGntrjF\" aria-label=\"CAS reference 65\" target=\"_blank\">CAS<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" data-track-action=\"google scholar reference\" data-track-value=\"google scholar reference\" data-track-label=\"link\" data-track-item_id=\"link\" rel=\"nofollow noopener\" aria-label=\"Google Scholar reference 65\" href=\"http:\/\/scholar.google.com\/scholar_lookup?&amp;title=Magnetoelectricity%20induced%20by%20rippling%20of%20magnetic%20nanomembranes%20and%20wires&amp;journal=Phys.%20Rev.%20Res.&amp;doi=10.1103%2FPhysRevResearch.5.L022063&amp;volume=5&amp;publication_year=2023&amp;author=Ortix%2CC&amp;author=Brink%2CJ\" target=\"_blank\"><br \/>\n                    Google Scholar<\/a>\u00a0\n                <\/p>\n<\/li>\n<li class=\"c-article-references__item js-c-reading-companion-references-item\" data-counter=\"66.\">\n<p class=\"c-article-references__text\" id=\"ref-CR66\">Pylypovskyi, O. V., Makarov, D. &amp; Ortix, C. in Curvilinear Magnetoelectrics with Magnetic Wires 269\u2013337 (Elsevier, 2026).<\/p>\n<\/li>\n<li class=\"c-article-references__item js-c-reading-companion-references-item\" data-counter=\"67.\">\n<p class=\"c-article-references__text\" id=\"ref-CR67\">Spaldin, N. A., Fechner, M., Bousquet, E., Balatsky, A. &amp; Nordstr\u00f6m, L. Monopole-based formalism for the diagonal magnetoelectric response. Phys. Rev. B <b>88<\/b>, 094429 (2013).<\/p>\n<p class=\"c-article-references__links u-hide-print\"><a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"10.1103\/PhysRevB.88.094429\" data-track-item_id=\"10.1103\/PhysRevB.88.094429\" data-track-value=\"article reference\" data-track-action=\"article reference\" href=\"https:\/\/doi.org\/10.1103%2FPhysRevB.88.094429\" aria-label=\"Article reference 67\" data-doi=\"10.1103\/PhysRevB.88.094429\" target=\"_blank\">Article<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" data-track-action=\"google scholar reference\" data-track-value=\"google scholar reference\" data-track-label=\"link\" data-track-item_id=\"link\" rel=\"nofollow noopener\" aria-label=\"Google Scholar reference 67\" href=\"http:\/\/scholar.google.com\/scholar_lookup?&amp;title=Monopole-based%20formalism%20for%20the%20diagonal%20magnetoelectric%20response&amp;journal=Phys.%20Rev.%20B&amp;doi=10.1103%2FPhysRevB.88.094429&amp;volume=88&amp;publication_year=2013&amp;author=Spaldin%2CNA&amp;author=Fechner%2CM&amp;author=Bousquet%2CE&amp;author=Balatsky%2CA&amp;author=Nordstr%C3%B6m%2CL\" target=\"_blank\"><br \/>\n                    Google Scholar<\/a>\u00a0\n                <\/p>\n<\/li>\n<li class=\"c-article-references__item js-c-reading-companion-references-item\" data-counter=\"68.\">\n<p class=\"c-article-references__text\" id=\"ref-CR68\">Gao, Y., Vanderbilt, D. &amp; Xiao, D. Microscopic theory of spin toroidization in periodic crystals. Phys. Rev. B <b>97<\/b>, 134423 (2018).<\/p>\n<p class=\"c-article-references__links u-hide-print\"><a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"10.1103\/PhysRevB.97.134423\" data-track-item_id=\"10.1103\/PhysRevB.97.134423\" data-track-value=\"article reference\" data-track-action=\"article reference\" href=\"https:\/\/doi.org\/10.1103%2FPhysRevB.97.134423\" aria-label=\"Article reference 68\" data-doi=\"10.1103\/PhysRevB.97.134423\" target=\"_blank\">Article<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"link\" data-track-item_id=\"link\" data-track-value=\"cas reference\" data-track-action=\"cas reference\" href=\"https:\/\/www.nature.com\/articles\/cas-redirect\/1:CAS:528:DC%2BC1MXltVOjtLg%3D\" aria-label=\"CAS reference 68\" target=\"_blank\">CAS<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" data-track-action=\"google scholar reference\" data-track-value=\"google scholar reference\" data-track-label=\"link\" data-track-item_id=\"link\" rel=\"nofollow noopener\" aria-label=\"Google Scholar reference 68\" href=\"http:\/\/scholar.google.com\/scholar_lookup?&amp;title=Microscopic%20theory%20of%20spin%20toroidization%20in%20periodic%20crystals&amp;journal=Phys.%20Rev.%20B&amp;doi=10.1103%2FPhysRevB.97.134423&amp;volume=97&amp;publication_year=2018&amp;author=Gao%2CY&amp;author=Vanderbilt%2CD&amp;author=Xiao%2CD\" target=\"_blank\"><br \/>\n                    Google Scholar<\/a>\u00a0\n                <\/p>\n<\/li>\n<li class=\"c-article-references__item js-c-reading-companion-references-item\" data-counter=\"69.\">\n<p class=\"c-article-references__text\" id=\"ref-CR69\">K\u00f6rber, L. et al. Symmetry and curvature effects on spin waves in vortex-state hexagonal nanotubes. Phys. Rev. B <b>104<\/b>, 184429 (2021).<\/p>\n<p class=\"c-article-references__links u-hide-print\"><a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"10.1103\/PhysRevB.104.184429\" data-track-item_id=\"10.1103\/PhysRevB.104.184429\" data-track-value=\"article reference\" data-track-action=\"article reference\" href=\"https:\/\/doi.org\/10.1103%2FPhysRevB.104.184429\" aria-label=\"Article reference 69\" data-doi=\"10.1103\/PhysRevB.104.184429\" target=\"_blank\">Article<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" data-track-action=\"google scholar reference\" data-track-value=\"google scholar reference\" data-track-label=\"link\" data-track-item_id=\"link\" rel=\"nofollow noopener\" aria-label=\"Google Scholar reference 69\" href=\"http:\/\/scholar.google.com\/scholar_lookup?&amp;title=Symmetry%20and%20curvature%20effects%20on%20spin%20waves%20in%20vortex-state%20hexagonal%20nanotubes&amp;journal=Phys.%20Rev.%20B&amp;doi=10.1103%2FPhysRevB.104.184429&amp;volume=104&amp;publication_year=2021&amp;author=K%C3%B6rber%2CL\" target=\"_blank\"><br \/>\n                    Google Scholar<\/a>\u00a0\n                <\/p>\n<\/li>\n<li class=\"c-article-references__item js-c-reading-companion-references-item\" data-counter=\"70.\">\n<p class=\"c-article-references__text\" id=\"ref-CR70\">Bhowal, S. &amp; Spaldin, N. A. Magnetoelectric classification of skyrmions. Phys. Rev. Lett. <b>128<\/b>, 227204 (2022).<\/p>\n<p class=\"c-article-references__links u-hide-print\"><a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"10.1103\/PhysRevLett.128.227204\" data-track-item_id=\"10.1103\/PhysRevLett.128.227204\" data-track-value=\"article reference\" data-track-action=\"article reference\" href=\"https:\/\/doi.org\/10.1103%2FPhysRevLett.128.227204\" aria-label=\"Article reference 70\" data-doi=\"10.1103\/PhysRevLett.128.227204\" target=\"_blank\">Article<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"link\" data-track-item_id=\"link\" data-track-value=\"cas reference\" data-track-action=\"cas reference\" href=\"https:\/\/www.nature.com\/articles\/cas-redirect\/1:CAS:528:DC%2BB38Xhs1emsr%2FE\" aria-label=\"CAS reference 70\" target=\"_blank\">CAS<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"link\" data-track-item_id=\"link\" data-track-value=\"pubmed reference\" data-track-action=\"pubmed reference\" href=\"http:\/\/www.ncbi.nlm.nih.gov\/entrez\/query.fcgi?cmd=Retrieve&amp;db=PubMed&amp;dopt=Abstract&amp;list_uids=35714233\" aria-label=\"PubMed reference 70\" target=\"_blank\">PubMed<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" data-track-action=\"google scholar reference\" data-track-value=\"google scholar reference\" data-track-label=\"link\" data-track-item_id=\"link\" rel=\"nofollow noopener\" aria-label=\"Google Scholar reference 70\" href=\"http:\/\/scholar.google.com\/scholar_lookup?&amp;title=Magnetoelectric%20classification%20of%20skyrmions&amp;journal=Phys.%20Rev.%20Lett.&amp;doi=10.1103%2FPhysRevLett.128.227204&amp;volume=128&amp;publication_year=2022&amp;author=Bhowal%2CS&amp;author=Spaldin%2CNA\" target=\"_blank\"><br \/>\n                    Google Scholar<\/a>\u00a0\n                <\/p>\n<\/li>\n<li class=\"c-article-references__item js-c-reading-companion-references-item\" data-counter=\"71.\">\n<p class=\"c-article-references__text\" id=\"ref-CR71\">Van Aken, B. B., Rivera, J.-P., Schmid, H. &amp; Fiebig, M. Observation of ferrotoroidic domains. Nature <b>449<\/b>, 702\u2013705 (2007).<\/p>\n<p class=\"c-article-references__links u-hide-print\"><a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"10.1038\/nature06139\" data-track-item_id=\"10.1038\/nature06139\" data-track-value=\"article reference\" data-track-action=\"article reference\" href=\"https:\/\/doi.org\/10.1038%2Fnature06139\" aria-label=\"Article reference 71\" data-doi=\"10.1038\/nature06139\" target=\"_blank\">Article<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"link\" data-track-item_id=\"link\" data-track-value=\"pubmed reference\" data-track-action=\"pubmed reference\" href=\"http:\/\/www.ncbi.nlm.nih.gov\/entrez\/query.fcgi?cmd=Retrieve&amp;db=PubMed&amp;dopt=Abstract&amp;list_uids=17928856\" aria-label=\"PubMed reference 71\" target=\"_blank\">PubMed<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" data-track-action=\"google scholar reference\" data-track-value=\"google scholar reference\" data-track-label=\"link\" data-track-item_id=\"link\" rel=\"nofollow noopener\" aria-label=\"Google Scholar reference 71\" href=\"http:\/\/scholar.google.com\/scholar_lookup?&amp;title=Observation%20of%20ferrotoroidic%20domains&amp;journal=Nature&amp;doi=10.1038%2Fnature06139&amp;volume=449&amp;pages=702-705&amp;publication_year=2007&amp;author=Aken%2CBB&amp;author=Rivera%2CJ-P&amp;author=Schmid%2CH&amp;author=Fiebig%2CM\" target=\"_blank\"><br \/>\n                    Google Scholar<\/a>\u00a0\n                <\/p>\n<\/li>\n<li class=\"c-article-references__item js-c-reading-companion-references-item\" data-counter=\"72.\">\n<p class=\"c-article-references__text\" id=\"ref-CR72\">Ederer, C. &amp; Spaldin, N. Towards a microscopic theory of toroidal moments in bulk periodic crystals. Phys. Rev. B <b>76<\/b>, 214404 (2007).<\/p>\n<p class=\"c-article-references__links u-hide-print\"><a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"10.1103\/PhysRevB.76.214404\" data-track-item_id=\"10.1103\/PhysRevB.76.214404\" data-track-value=\"article reference\" data-track-action=\"article reference\" href=\"https:\/\/doi.org\/10.1103%2FPhysRevB.76.214404\" aria-label=\"Article reference 72\" data-doi=\"10.1103\/PhysRevB.76.214404\" target=\"_blank\">Article<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" data-track-action=\"google scholar reference\" data-track-value=\"google scholar reference\" data-track-label=\"link\" data-track-item_id=\"link\" rel=\"nofollow noopener\" aria-label=\"Google Scholar reference 72\" href=\"http:\/\/scholar.google.com\/scholar_lookup?&amp;title=Towards%20a%20microscopic%20theory%20of%20toroidal%20moments%20in%20bulk%20periodic%20crystals&amp;journal=Phys.%20Rev.%20B&amp;doi=10.1103%2FPhysRevB.76.214404&amp;volume=76&amp;publication_year=2007&amp;author=Ederer%2CC&amp;author=Spaldin%2CN\" target=\"_blank\"><br \/>\n                    Google Scholar<\/a>\u00a0\n                <\/p>\n<\/li>\n<li class=\"c-article-references__item js-c-reading-companion-references-item\" data-counter=\"73.\">\n<p class=\"c-article-references__text\" id=\"ref-CR73\">Lehmann, J., Donnelly, C., Derlet, P. M., Heyderman, L. J. &amp; Fiebig, M. Poling of an artificial magneto-toroidal crystal. Nat. Nanotechnol. <b>14<\/b>, 141\u2013144 (2019).<\/p>\n<p class=\"c-article-references__links u-hide-print\"><a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"10.1038\/s41565-018-0321-x\" data-track-item_id=\"10.1038\/s41565-018-0321-x\" data-track-value=\"article reference\" data-track-action=\"article reference\" href=\"https:\/\/doi.org\/10.1038%2Fs41565-018-0321-x\" aria-label=\"Article reference 73\" data-doi=\"10.1038\/s41565-018-0321-x\" target=\"_blank\">Article<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"link\" data-track-item_id=\"link\" data-track-value=\"cas reference\" data-track-action=\"cas reference\" href=\"https:\/\/www.nature.com\/articles\/cas-redirect\/1:CAS:528:DC%2BC1cXisVOhtrrJ\" aria-label=\"CAS reference 73\" target=\"_blank\">CAS<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"link\" data-track-item_id=\"link\" data-track-value=\"pubmed reference\" data-track-action=\"pubmed reference\" href=\"http:\/\/www.ncbi.nlm.nih.gov\/entrez\/query.fcgi?cmd=Retrieve&amp;db=PubMed&amp;dopt=Abstract&amp;list_uids=30531991\" aria-label=\"PubMed reference 73\" target=\"_blank\">PubMed<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" data-track-action=\"google scholar reference\" data-track-value=\"google scholar reference\" data-track-label=\"link\" data-track-item_id=\"link\" rel=\"nofollow noopener\" aria-label=\"Google Scholar reference 73\" href=\"http:\/\/scholar.google.com\/scholar_lookup?&amp;title=Poling%20of%20an%20artificial%20magneto-toroidal%20crystal&amp;journal=Nat.%20Nanotechnol.&amp;doi=10.1038%2Fs41565-018-0321-x&amp;volume=14&amp;pages=141-144&amp;publication_year=2019&amp;author=Lehmann%2CJ&amp;author=Donnelly%2CC&amp;author=Derlet%2CPM&amp;author=Heyderman%2CLJ&amp;author=Fiebig%2CM\" target=\"_blank\"><br \/>\n                    Google Scholar<\/a>\u00a0\n                <\/p>\n<\/li>\n<li class=\"c-article-references__item js-c-reading-companion-references-item\" data-counter=\"74.\">\n<p class=\"c-article-references__text\" id=\"ref-CR74\">Pyatakov, A. &amp; Pyatakova, Z. Multiferroics in two dimensions: the coupling of mechanical, magnetic and ferroelectric subsystems in van der Waals materials. J. Magn. Magn. Mater. <b>587<\/b>, 171255 (2023).<\/p>\n<p class=\"c-article-references__links u-hide-print\"><a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"10.1016\/j.jmmm.2023.171255\" data-track-item_id=\"10.1016\/j.jmmm.2023.171255\" data-track-value=\"article reference\" data-track-action=\"article reference\" href=\"https:\/\/doi.org\/10.1016%2Fj.jmmm.2023.171255\" aria-label=\"Article reference 74\" data-doi=\"10.1016\/j.jmmm.2023.171255\" target=\"_blank\">Article<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"link\" data-track-item_id=\"link\" data-track-value=\"cas reference\" data-track-action=\"cas reference\" href=\"https:\/\/www.nature.com\/articles\/cas-redirect\/1:CAS:528:DC%2BB3sXhvFCgt7fN\" aria-label=\"CAS reference 74\" target=\"_blank\">CAS<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" data-track-action=\"google scholar reference\" data-track-value=\"google scholar reference\" data-track-label=\"link\" data-track-item_id=\"link\" rel=\"nofollow noopener\" aria-label=\"Google Scholar reference 74\" href=\"http:\/\/scholar.google.com\/scholar_lookup?&amp;title=Multiferroics%20in%20two%20dimensions%3A%20the%20coupling%20of%20mechanical%2C%20magnetic%20and%20ferroelectric%20subsystems%20in%20van%20der%20Waals%20materials&amp;journal=J.%20Magn.%20Magn.%20Mater.&amp;doi=10.1016%2Fj.jmmm.2023.171255&amp;volume=587&amp;publication_year=2023&amp;author=Pyatakov%2CA&amp;author=Pyatakova%2CZ\" target=\"_blank\"><br \/>\n                    Google Scholar<\/a>\u00a0\n                <\/p>\n<\/li>\n<li class=\"c-article-references__item js-c-reading-companion-references-item\" data-counter=\"75.\">\n<p class=\"c-article-references__text\" id=\"ref-CR75\">Kovalenko, M. V. et al. Fatty acid salts as stabilizers in size- and shape-controlled nanocrystal synthesis: the case of inverse spinel iron oxide. J. Am. Chem. Soc. <b>129<\/b>, 6352\u20136353 (2007).<\/p>\n<p class=\"c-article-references__links u-hide-print\"><a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"10.1021\/ja0692478\" data-track-item_id=\"10.1021\/ja0692478\" data-track-value=\"article reference\" data-track-action=\"article reference\" href=\"https:\/\/doi.org\/10.1021%2Fja0692478\" aria-label=\"Article reference 75\" data-doi=\"10.1021\/ja0692478\" target=\"_blank\">Article<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"link\" data-track-item_id=\"link\" data-track-value=\"cas reference\" data-track-action=\"cas reference\" href=\"https:\/\/www.nature.com\/articles\/cas-redirect\/1:CAS:528:DC%2BD2sXkslyrsbc%3D\" aria-label=\"CAS reference 75\" target=\"_blank\">CAS<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"link\" data-track-item_id=\"link\" data-track-value=\"pubmed reference\" data-track-action=\"pubmed reference\" href=\"http:\/\/www.ncbi.nlm.nih.gov\/entrez\/query.fcgi?cmd=Retrieve&amp;db=PubMed&amp;dopt=Abstract&amp;list_uids=17472378\" aria-label=\"PubMed reference 75\" target=\"_blank\">PubMed<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" data-track-action=\"google scholar reference\" data-track-value=\"google scholar reference\" data-track-label=\"link\" data-track-item_id=\"link\" rel=\"nofollow noopener\" aria-label=\"Google Scholar reference 75\" href=\"http:\/\/scholar.google.com\/scholar_lookup?&amp;title=Fatty%20acid%20salts%20as%20stabilizers%20in%20size-%20and%20shape-controlled%20nanocrystal%20synthesis%3A%20the%20case%20of%20inverse%20spinel%20iron%20oxide&amp;journal=J.%20Am.%20Chem.%20Soc.&amp;doi=10.1021%2Fja0692478&amp;volume=129&amp;pages=6352-6353&amp;publication_year=2007&amp;author=Kovalenko%2CMV\" target=\"_blank\"><br \/>\n                    Google Scholar<\/a>\u00a0\n                <\/p>\n<\/li>\n<li class=\"c-article-references__item js-c-reading-companion-references-item\" data-counter=\"76.\">\n<p class=\"c-article-references__text\" id=\"ref-CR76\">Jia, C.-J. et al. Large-scale synthesis of single-crystalline iron oxide magnetic nanorings. J. Am. Chem. Soc. <b>130<\/b>, 16968\u201316977 (2008).<\/p>\n<p class=\"c-article-references__links u-hide-print\"><a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"10.1021\/ja805152t\" data-track-item_id=\"10.1021\/ja805152t\" data-track-value=\"article reference\" data-track-action=\"article reference\" href=\"https:\/\/doi.org\/10.1021%2Fja805152t\" aria-label=\"Article reference 76\" data-doi=\"10.1021\/ja805152t\" target=\"_blank\">Article<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"link\" data-track-item_id=\"link\" data-track-value=\"cas reference\" data-track-action=\"cas reference\" href=\"https:\/\/www.nature.com\/articles\/cas-redirect\/1:CAS:528:DC%2BD1cXhtl2jsLnE\" aria-label=\"CAS reference 76\" target=\"_blank\">CAS<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"link\" data-track-item_id=\"link\" data-track-value=\"pubmed reference\" data-track-action=\"pubmed reference\" href=\"http:\/\/www.ncbi.nlm.nih.gov\/entrez\/query.fcgi?cmd=Retrieve&amp;db=PubMed&amp;dopt=Abstract&amp;list_uids=19053430\" aria-label=\"PubMed reference 76\" target=\"_blank\">PubMed<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" data-track-action=\"google scholar reference\" data-track-value=\"google scholar reference\" data-track-label=\"link\" data-track-item_id=\"link\" rel=\"nofollow noopener\" aria-label=\"Google Scholar reference 76\" href=\"http:\/\/scholar.google.com\/scholar_lookup?&amp;title=Large-scale%20synthesis%20of%20single-crystalline%20iron%20oxide%20magnetic%20nanorings&amp;journal=J.%20Am.%20Chem.%20Soc.&amp;doi=10.1021%2Fja805152t&amp;volume=130&amp;pages=16968-16977&amp;publication_year=2008&amp;author=Jia%2CC-J\" target=\"_blank\"><br \/>\n                    Google Scholar<\/a>\u00a0\n                <\/p>\n<\/li>\n<li class=\"c-article-references__item js-c-reading-companion-references-item\" data-counter=\"77.\">\n<p class=\"c-article-references__text\" id=\"ref-CR77\">Remadevi, A., Kesavapillai Sreedeviamma, D. &amp; Surendran, K. P. Printable hierarchical nickel nanowires for soft magnetic applications. ACS Omega <b>3<\/b>, 14245\u201314257 (2018).<\/p>\n<p class=\"c-article-references__links u-hide-print\"><a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"10.1021\/acsomega.8b01422\" data-track-item_id=\"10.1021\/acsomega.8b01422\" data-track-value=\"article reference\" data-track-action=\"article reference\" href=\"https:\/\/doi.org\/10.1021%2Facsomega.8b01422\" aria-label=\"Article reference 77\" data-doi=\"10.1021\/acsomega.8b01422\" target=\"_blank\">Article<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"link\" data-track-item_id=\"link\" data-track-value=\"cas reference\" data-track-action=\"cas reference\" href=\"https:\/\/www.nature.com\/articles\/cas-redirect\/1:CAS:528:DC%2BC1cXitVSlurbP\" aria-label=\"CAS reference 77\" target=\"_blank\">CAS<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"link\" data-track-item_id=\"link\" data-track-value=\"pubmed reference\" data-track-action=\"pubmed reference\" href=\"http:\/\/www.ncbi.nlm.nih.gov\/entrez\/query.fcgi?cmd=Retrieve&amp;db=PubMed&amp;dopt=Abstract&amp;list_uids=31458115\" aria-label=\"PubMed reference 77\" target=\"_blank\">PubMed<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"link\" data-track-item_id=\"link\" data-track-value=\"pubmed central reference\" data-track-action=\"pubmed central reference\" href=\"http:\/\/www.ncbi.nlm.nih.gov\/pmc\/articles\/PMC6645083\" aria-label=\"PubMed Central reference 77\" target=\"_blank\">PubMed Central<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" data-track-action=\"google scholar reference\" data-track-value=\"google scholar reference\" data-track-label=\"link\" data-track-item_id=\"link\" rel=\"nofollow noopener\" aria-label=\"Google Scholar reference 77\" href=\"http:\/\/scholar.google.com\/scholar_lookup?&amp;title=Printable%20hierarchical%20nickel%20nanowires%20for%20soft%20magnetic%20applications&amp;journal=ACS%20Omega&amp;doi=10.1021%2Facsomega.8b01422&amp;volume=3&amp;pages=14245-14257&amp;publication_year=2018&amp;author=Remadevi%2CA&amp;author=Kesavapillai%20Sreedeviamma%2CD&amp;author=Surendran%2CKP\" target=\"_blank\"><br \/>\n                    Google Scholar<\/a>\u00a0\n                <\/p>\n<\/li>\n<li class=\"c-article-references__item js-c-reading-companion-references-item\" data-counter=\"78.\">\n<p class=\"c-article-references__text\" id=\"ref-CR78\">Birch, M. T. et al. Nanosculpted 3D helices of a magnetic Weyl semimetal with switchable non-reciprocal electron transport. Nat. Nanotechnol. <b>21<\/b>, 352\u2013358 (2026).<\/p>\n<p class=\"c-article-references__links u-hide-print\"><a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"10.1038\/s41565-025-02104-x\" data-track-item_id=\"10.1038\/s41565-025-02104-x\" data-track-value=\"article reference\" data-track-action=\"article reference\" href=\"https:\/\/doi.org\/10.1038%2Fs41565-025-02104-x\" aria-label=\"Article reference 78\" data-doi=\"10.1038\/s41565-025-02104-x\" target=\"_blank\">Article<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"link\" data-track-item_id=\"link\" data-track-value=\"cas reference\" data-track-action=\"cas reference\" href=\"https:\/\/www.nature.com\/articles\/cas-redirect\/1:CAS:528:DC%2BB28Xit12gt78%3D\" aria-label=\"CAS reference 78\" target=\"_blank\">CAS<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"link\" data-track-item_id=\"link\" data-track-value=\"pubmed reference\" data-track-action=\"pubmed reference\" href=\"http:\/\/www.ncbi.nlm.nih.gov\/entrez\/query.fcgi?cmd=Retrieve&amp;db=PubMed&amp;dopt=Abstract&amp;list_uids=41565782\" aria-label=\"PubMed reference 78\" target=\"_blank\">PubMed<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" data-track-action=\"google scholar reference\" data-track-value=\"google scholar reference\" data-track-label=\"link\" data-track-item_id=\"link\" rel=\"nofollow noopener\" aria-label=\"Google Scholar reference 78\" href=\"http:\/\/scholar.google.com\/scholar_lookup?&amp;title=Nanosculpted%203D%20helices%20of%20a%20magnetic%20Weyl%20semimetal%20with%20switchable%20non-reciprocal%20electron%20transport&amp;journal=Nat.%20Nanotechnol.&amp;doi=10.1038%2Fs41565-025-02104-x&amp;volume=21&amp;pages=352-358&amp;publication_year=2026&amp;author=Birch%2CMT\" target=\"_blank\"><br \/>\n                    Google Scholar<\/a>\u00a0\n                <\/p>\n<\/li>\n<li class=\"c-article-references__item js-c-reading-companion-references-item\" data-counter=\"79.\">\n<p class=\"c-article-references__text\" id=\"ref-CR79\">Bochmann, S. et al. Preparation and physical properties of soft magnetic nickel\u2013cobalt three-segmented nanowires. J. Appl. Phys. <b>124<\/b>, 163907 (2018).<\/p>\n<p class=\"c-article-references__links u-hide-print\"><a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"10.1063\/1.5049892\" data-track-item_id=\"10.1063\/1.5049892\" data-track-value=\"article reference\" data-track-action=\"article reference\" href=\"https:\/\/doi.org\/10.1063%2F1.5049892\" aria-label=\"Article reference 79\" data-doi=\"10.1063\/1.5049892\" target=\"_blank\">Article<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" data-track-action=\"google scholar reference\" data-track-value=\"google scholar reference\" data-track-label=\"link\" data-track-item_id=\"link\" rel=\"nofollow noopener\" aria-label=\"Google Scholar reference 79\" href=\"http:\/\/scholar.google.com\/scholar_lookup?&amp;title=Preparation%20and%20physical%20properties%20of%20soft%20magnetic%20nickel%E2%80%93cobalt%20three-segmented%20nanowires&amp;journal=J.%20Appl.%20Phys.&amp;doi=10.1063%2F1.5049892&amp;volume=124&amp;publication_year=2018&amp;author=Bochmann%2CS\" target=\"_blank\"><br \/>\n                    Google Scholar<\/a>\u00a0\n                <\/p>\n<\/li>\n<li class=\"c-article-references__item js-c-reading-companion-references-item\" data-counter=\"80.\">\n<p class=\"c-article-references__text\" id=\"ref-CR80\">Bezsmertna, O. et al. Magnetic solitons in hierarchical 3D magnetic nanoarchitectures of nanoflower shape. Nano Lett. <b>24<\/b>, 15774\u201315780 (2024).<\/p>\n<p class=\"c-article-references__links u-hide-print\"><a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"10.1021\/acs.nanolett.4c04584\" data-track-item_id=\"10.1021\/acs.nanolett.4c04584\" data-track-value=\"article reference\" data-track-action=\"article reference\" href=\"https:\/\/doi.org\/10.1021%2Facs.nanolett.4c04584\" aria-label=\"Article reference 80\" data-doi=\"10.1021\/acs.nanolett.4c04584\" target=\"_blank\">Article<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"link\" data-track-item_id=\"link\" data-track-value=\"cas reference\" data-track-action=\"cas reference\" href=\"https:\/\/www.nature.com\/articles\/cas-redirect\/1:CAS:528:DC%2BB2cXisFymsL7O\" aria-label=\"CAS reference 80\" target=\"_blank\">CAS<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"link\" data-track-item_id=\"link\" data-track-value=\"pubmed reference\" data-track-action=\"pubmed reference\" href=\"http:\/\/www.ncbi.nlm.nih.gov\/entrez\/query.fcgi?cmd=Retrieve&amp;db=PubMed&amp;dopt=Abstract&amp;list_uids=39590933\" aria-label=\"PubMed reference 80\" target=\"_blank\">PubMed<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"link\" data-track-item_id=\"link\" data-track-value=\"pubmed central reference\" data-track-action=\"pubmed central reference\" href=\"http:\/\/www.ncbi.nlm.nih.gov\/pmc\/articles\/PMC11639047\" aria-label=\"PubMed Central reference 80\" target=\"_blank\">PubMed Central<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" data-track-action=\"google scholar reference\" data-track-value=\"google scholar reference\" data-track-label=\"link\" data-track-item_id=\"link\" rel=\"nofollow noopener\" aria-label=\"Google Scholar reference 80\" href=\"http:\/\/scholar.google.com\/scholar_lookup?&amp;title=Magnetic%20solitons%20in%20hierarchical%203D%20magnetic%20nanoarchitectures%20of%20nanoflower%20shape&amp;journal=Nano%20Lett.&amp;doi=10.1021%2Facs.nanolett.4c04584&amp;volume=24&amp;pages=15774-15780&amp;publication_year=2024&amp;author=Bezsmertna%2CO\" target=\"_blank\"><br \/>\n                    Google Scholar<\/a>\u00a0\n                <\/p>\n<\/li>\n<li class=\"c-article-references__item js-c-reading-companion-references-item\" data-counter=\"81.\">\n<p class=\"c-article-references__text\" id=\"ref-CR81\">Streubel, R. et al. Imaging of buried 3D magnetic rolled-up nanomembranes. Nano Lett. <b>14<\/b>, 3981\u20133986 (2014).<\/p>\n<p class=\"c-article-references__links u-hide-print\"><a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"10.1021\/nl501333h\" data-track-item_id=\"10.1021\/nl501333h\" data-track-value=\"article reference\" data-track-action=\"article reference\" href=\"https:\/\/doi.org\/10.1021%2Fnl501333h\" aria-label=\"Article reference 81\" data-doi=\"10.1021\/nl501333h\" target=\"_blank\">Article<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"link\" data-track-item_id=\"link\" data-track-value=\"cas reference\" data-track-action=\"cas reference\" href=\"https:\/\/www.nature.com\/articles\/cas-redirect\/1:CAS:528:DC%2BC2cXotlWitLg%3D\" aria-label=\"CAS reference 81\" target=\"_blank\">CAS<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"link\" data-track-item_id=\"link\" data-track-value=\"pubmed reference\" data-track-action=\"pubmed reference\" href=\"http:\/\/www.ncbi.nlm.nih.gov\/entrez\/query.fcgi?cmd=Retrieve&amp;db=PubMed&amp;dopt=Abstract&amp;list_uids=24849571\" aria-label=\"PubMed reference 81\" target=\"_blank\">PubMed<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"link\" data-track-item_id=\"link\" data-track-value=\"pubmed central reference\" data-track-action=\"pubmed central reference\" href=\"http:\/\/www.ncbi.nlm.nih.gov\/pmc\/articles\/PMC4096489\" aria-label=\"PubMed Central reference 81\" target=\"_blank\">PubMed Central<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" data-track-action=\"google scholar reference\" data-track-value=\"google scholar reference\" data-track-label=\"link\" data-track-item_id=\"link\" rel=\"nofollow noopener\" aria-label=\"Google Scholar reference 81\" href=\"http:\/\/scholar.google.com\/scholar_lookup?&amp;title=Imaging%20of%20buried%203D%20magnetic%20rolled-up%20nanomembranes&amp;journal=Nano%20Lett.&amp;doi=10.1021%2Fnl501333h&amp;volume=14&amp;pages=3981-3986&amp;publication_year=2014&amp;author=Streubel%2CR\" target=\"_blank\"><br \/>\n                    Google Scholar<\/a>\u00a0\n                <\/p>\n<\/li>\n<li class=\"c-article-references__item js-c-reading-companion-references-item\" data-counter=\"82.\">\n<p class=\"c-article-references__text\" id=\"ref-CR82\">Karnaushenko, D. D. et al. Rolled-up self-assembly of compact magnetic inductors, transformers, and resonators. Adv. Electron. Mater. <b>4<\/b>, 1800298 (2018).<\/p>\n<p class=\"c-article-references__links u-hide-print\"><a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"10.1002\/aelm.201800298\" data-track-item_id=\"10.1002\/aelm.201800298\" data-track-value=\"article reference\" data-track-action=\"article reference\" href=\"https:\/\/doi.org\/10.1002%2Faelm.201800298\" aria-label=\"Article reference 82\" data-doi=\"10.1002\/aelm.201800298\" target=\"_blank\">Article<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" data-track-action=\"google scholar reference\" data-track-value=\"google scholar reference\" data-track-label=\"link\" data-track-item_id=\"link\" rel=\"nofollow noopener\" aria-label=\"Google Scholar reference 82\" href=\"http:\/\/scholar.google.com\/scholar_lookup?&amp;title=Rolled-up%20self-assembly%20of%20compact%20magnetic%20inductors%2C%20transformers%2C%20and%20resonators&amp;journal=Adv.%20Electron.%20Mater.&amp;doi=10.1002%2Faelm.201800298&amp;volume=4&amp;publication_year=2018&amp;author=Karnaushenko%2CDD\" target=\"_blank\"><br \/>\n                    Google Scholar<\/a>\u00a0\n                <\/p>\n<\/li>\n<li class=\"c-article-references__item js-c-reading-companion-references-item\" data-counter=\"83.\">\n<p class=\"c-article-references__text\" id=\"ref-CR83\">Teresa, J. M. D. et al. Review of magnetic nanostructures grown by focused electron beam induced deposition (FEBID). J. Phys. D <b>49<\/b>, 243003 (2016).<\/p>\n<p class=\"c-article-references__links u-hide-print\"><a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"10.1088\/0022-3727\/49\/24\/243003\" data-track-item_id=\"10.1088\/0022-3727\/49\/24\/243003\" data-track-value=\"article reference\" data-track-action=\"article reference\" href=\"https:\/\/doi.org\/10.1088%2F0022-3727%2F49%2F24%2F243003\" aria-label=\"Article reference 83\" data-doi=\"10.1088\/0022-3727\/49\/24\/243003\" target=\"_blank\">Article<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" data-track-action=\"google scholar reference\" data-track-value=\"google scholar reference\" data-track-label=\"link\" data-track-item_id=\"link\" rel=\"nofollow noopener\" aria-label=\"Google Scholar reference 83\" href=\"http:\/\/scholar.google.com\/scholar_lookup?&amp;title=Review%20of%20magnetic%20nanostructures%20grown%20by%20focused%20electron%20beam%20induced%20deposition%20%28FEBID%29&amp;journal=J.%20Phys.%20D&amp;doi=10.1088%2F0022-3727%2F49%2F24%2F243003&amp;volume=49&amp;publication_year=2016&amp;author=Teresa%2CJMD\" target=\"_blank\"><br \/>\n                    Google Scholar<\/a>\u00a0\n                <\/p>\n<\/li>\n<li class=\"c-article-references__item js-c-reading-companion-references-item\" data-counter=\"84.\">\n<p class=\"c-article-references__text\" id=\"ref-CR84\">Huth, M. et al. Focused electron beam induced deposition: a perspective. Beilstein J. Nanotechnol. <b>3<\/b>, 597\u2013619 (2012).<\/p>\n<p class=\"c-article-references__links u-hide-print\"><a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"10.3762\/bjnano.3.70\" data-track-item_id=\"10.3762\/bjnano.3.70\" data-track-value=\"article reference\" data-track-action=\"article reference\" href=\"https:\/\/doi.org\/10.3762%2Fbjnano.3.70\" aria-label=\"Article reference 84\" data-doi=\"10.3762\/bjnano.3.70\" target=\"_blank\">Article<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"link\" data-track-item_id=\"link\" data-track-value=\"cas reference\" data-track-action=\"cas reference\" href=\"https:\/\/www.nature.com\/articles\/cas-redirect\/1:CAS:528:DC%2BC3sXis1yrsrw%3D\" aria-label=\"CAS reference 84\" target=\"_blank\">CAS<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"link\" data-track-item_id=\"link\" data-track-value=\"pubmed reference\" data-track-action=\"pubmed reference\" href=\"http:\/\/www.ncbi.nlm.nih.gov\/entrez\/query.fcgi?cmd=Retrieve&amp;db=PubMed&amp;dopt=Abstract&amp;list_uids=23019557\" aria-label=\"PubMed reference 84\" target=\"_blank\">PubMed<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"link\" data-track-item_id=\"link\" data-track-value=\"pubmed central reference\" data-track-action=\"pubmed central reference\" href=\"http:\/\/www.ncbi.nlm.nih.gov\/pmc\/articles\/PMC3458607\" aria-label=\"PubMed Central reference 84\" target=\"_blank\">PubMed Central<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" data-track-action=\"google scholar reference\" data-track-value=\"google scholar reference\" data-track-label=\"link\" data-track-item_id=\"link\" rel=\"nofollow noopener\" aria-label=\"Google Scholar reference 84\" href=\"http:\/\/scholar.google.com\/scholar_lookup?&amp;title=Focused%20electron%20beam%20induced%20deposition%3A%20a%20perspective&amp;journal=Beilstein%20J.%20Nanotechnol.&amp;doi=10.3762%2Fbjnano.3.70&amp;volume=3&amp;pages=597-619&amp;publication_year=2012&amp;author=Huth%2CM\" target=\"_blank\"><br \/>\n                    Google Scholar<\/a>\u00a0\n                <\/p>\n<\/li>\n<li class=\"c-article-references__item js-c-reading-companion-references-item\" data-counter=\"85.\">\n<p class=\"c-article-references__text\" id=\"ref-CR85\">Yang, S. et al. Parallel two-photon lithography achieving uniform sub-200\u2009nm features with thousands of individually controlled foci. Opt. Express <b>31<\/b>, 14174\u201314184 (2023).<\/p>\n<p class=\"c-article-references__links u-hide-print\"><a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"10.1364\/OE.483524\" data-track-item_id=\"10.1364\/OE.483524\" data-track-value=\"article reference\" data-track-action=\"article reference\" href=\"https:\/\/doi.org\/10.1364%2FOE.483524\" aria-label=\"Article reference 85\" data-doi=\"10.1364\/OE.483524\" target=\"_blank\">Article<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"link\" data-track-item_id=\"link\" data-track-value=\"pubmed reference\" data-track-action=\"pubmed reference\" href=\"http:\/\/www.ncbi.nlm.nih.gov\/entrez\/query.fcgi?cmd=Retrieve&amp;db=PubMed&amp;dopt=Abstract&amp;list_uids=37157287\" aria-label=\"PubMed reference 85\" target=\"_blank\">PubMed<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" data-track-action=\"google scholar reference\" data-track-value=\"google scholar reference\" data-track-label=\"link\" data-track-item_id=\"link\" rel=\"nofollow noopener\" aria-label=\"Google Scholar reference 85\" href=\"http:\/\/scholar.google.com\/scholar_lookup?&amp;title=Parallel%20two-photon%20lithography%20achieving%20uniform%20sub-200%E2%80%89nm%20features%20with%20thousands%20of%20individually%20controlled%20foci&amp;journal=Opt.%20Express&amp;doi=10.1364%2FOE.483524&amp;volume=31&amp;pages=14174-14184&amp;publication_year=2023&amp;author=Yang%2CS\" target=\"_blank\"><br \/>\n                    Google Scholar<\/a>\u00a0\n                <\/p>\n<\/li>\n<li class=\"c-article-references__item js-c-reading-companion-references-item\" data-counter=\"86.\">\n<p class=\"c-article-references__text\" id=\"ref-CR86\">van Bruggen, M., van Someren, B. &amp; Kruit, P. Multibeam electron source for nanofabrication using electron beam induced deposition. Microelectron. Eng. <b>83<\/b>, 771\u2013775 (2006).<\/p>\n<p class=\"c-article-references__links u-hide-print\"><a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"10.1016\/j.mee.2006.01.252\" data-track-item_id=\"10.1016\/j.mee.2006.01.252\" data-track-value=\"article reference\" data-track-action=\"article reference\" href=\"https:\/\/doi.org\/10.1016%2Fj.mee.2006.01.252\" aria-label=\"Article reference 86\" data-doi=\"10.1016\/j.mee.2006.01.252\" target=\"_blank\">Article<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" data-track-action=\"google scholar reference\" data-track-value=\"google scholar reference\" data-track-label=\"link\" data-track-item_id=\"link\" rel=\"nofollow noopener\" aria-label=\"Google Scholar reference 86\" href=\"http:\/\/scholar.google.com\/scholar_lookup?&amp;title=Multibeam%20electron%20source%20for%20nanofabrication%20using%20electron%20beam%20induced%20deposition&amp;journal=Microelectron.%20Eng.&amp;doi=10.1016%2Fj.mee.2006.01.252&amp;volume=83&amp;pages=771-775&amp;publication_year=2006&amp;author=Bruggen%2CM&amp;author=Someren%2CB&amp;author=Kruit%2CP\" target=\"_blank\"><br \/>\n                    Google Scholar<\/a>\u00a0\n                <\/p>\n<\/li>\n<li class=\"c-article-references__item js-c-reading-companion-references-item\" data-counter=\"87.\">\n<p class=\"c-article-references__text\" id=\"ref-CR87\">Xu, R., Zeng, Z. &amp; Lei, Y. Well-defined nanostructuring with designable anodic aluminum oxide template. Nat. Commun. <b>13<\/b>, 2435 (2022).<\/p>\n<p class=\"c-article-references__links u-hide-print\"><a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"10.1038\/s41467-022-30137-6\" data-track-item_id=\"10.1038\/s41467-022-30137-6\" data-track-value=\"article reference\" data-track-action=\"article reference\" href=\"https:\/\/doi.org\/10.1038%2Fs41467-022-30137-6\" aria-label=\"Article reference 87\" data-doi=\"10.1038\/s41467-022-30137-6\" target=\"_blank\">Article<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"link\" data-track-item_id=\"link\" data-track-value=\"cas reference\" data-track-action=\"cas reference\" href=\"https:\/\/www.nature.com\/articles\/cas-redirect\/1:CAS:528:DC%2BB38Xht1ShtLjP\" aria-label=\"CAS reference 87\" target=\"_blank\">CAS<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"link\" data-track-item_id=\"link\" data-track-value=\"pubmed reference\" data-track-action=\"pubmed reference\" href=\"http:\/\/www.ncbi.nlm.nih.gov\/entrez\/query.fcgi?cmd=Retrieve&amp;db=PubMed&amp;dopt=Abstract&amp;list_uids=35508620\" aria-label=\"PubMed reference 87\" target=\"_blank\">PubMed<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"link\" data-track-item_id=\"link\" data-track-value=\"pubmed central reference\" data-track-action=\"pubmed central reference\" href=\"http:\/\/www.ncbi.nlm.nih.gov\/pmc\/articles\/PMC9068917\" aria-label=\"PubMed Central reference 87\" target=\"_blank\">PubMed Central<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" data-track-action=\"google scholar reference\" data-track-value=\"google scholar reference\" data-track-label=\"link\" data-track-item_id=\"link\" rel=\"nofollow noopener\" aria-label=\"Google Scholar reference 87\" href=\"http:\/\/scholar.google.com\/scholar_lookup?&amp;title=Well-defined%20nanostructuring%20with%20designable%20anodic%20aluminum%20oxide%20template&amp;journal=Nat.%20Commun.&amp;doi=10.1038%2Fs41467-022-30137-6&amp;volume=13&amp;publication_year=2022&amp;author=Xu%2CR&amp;author=Zeng%2CZ&amp;author=Lei%2CY\" target=\"_blank\"><br \/>\n                    Google Scholar<\/a>\u00a0\n                <\/p>\n<\/li>\n<li class=\"c-article-references__item js-c-reading-companion-references-item\" data-counter=\"88.\">\n<p class=\"c-article-references__text\" id=\"ref-CR88\">Chauleau, J.-Y. &amp; Trassin, M. Sensing multiferroic states non-invasively using optical second harmonic generation. Microstructures <b>4<\/b>, 2024005 (2024).<\/p>\n<p class=\"c-article-references__links u-hide-print\"><a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"10.20517\/microstructures.2023.50\" data-track-item_id=\"10.20517\/microstructures.2023.50\" data-track-value=\"article reference\" data-track-action=\"article reference\" href=\"https:\/\/doi.org\/10.20517%2Fmicrostructures.2023.50\" aria-label=\"Article reference 88\" data-doi=\"10.20517\/microstructures.2023.50\" target=\"_blank\">Article<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"link\" data-track-item_id=\"link\" data-track-value=\"cas reference\" data-track-action=\"cas reference\" href=\"https:\/\/www.nature.com\/articles\/cas-redirect\/1:CAS:528:DC%2BB2cXht1eksb%2FM\" aria-label=\"CAS reference 88\" target=\"_blank\">CAS<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" data-track-action=\"google scholar reference\" data-track-value=\"google scholar reference\" data-track-label=\"link\" data-track-item_id=\"link\" rel=\"nofollow noopener\" aria-label=\"Google Scholar reference 88\" href=\"http:\/\/scholar.google.com\/scholar_lookup?&amp;title=Sensing%20multiferroic%20states%20non-invasively%20using%20optical%20second%20harmonic%20generation&amp;journal=Microstructures&amp;doi=10.20517%2Fmicrostructures.2023.50&amp;volume=4&amp;publication_year=2024&amp;author=Chauleau%2CJ-Y&amp;author=Trassin%2CM\" target=\"_blank\"><br \/>\n                    Google Scholar<\/a>\u00a0\n                <\/p>\n<\/li>\n<li class=\"c-article-references__item js-c-reading-companion-references-item\" data-counter=\"89.\">\n<p class=\"c-article-references__text\" id=\"ref-CR89\">Du, Z. Z., Lu, H.-Z. &amp; Xie, X. C. Nonlinear Hall effects. Nat. Rev. Phys. <b>3<\/b>, 744\u2013752 (2021).<\/p>\n<p class=\"c-article-references__links u-hide-print\"><a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"10.1038\/s42254-021-00359-6\" data-track-item_id=\"10.1038\/s42254-021-00359-6\" data-track-value=\"article reference\" data-track-action=\"article reference\" href=\"https:\/\/doi.org\/10.1038%2Fs42254-021-00359-6\" aria-label=\"Article reference 89\" data-doi=\"10.1038\/s42254-021-00359-6\" target=\"_blank\">Article<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" data-track-action=\"google scholar reference\" data-track-value=\"google scholar reference\" data-track-label=\"link\" data-track-item_id=\"link\" rel=\"nofollow noopener\" aria-label=\"Google Scholar reference 89\" href=\"http:\/\/scholar.google.com\/scholar_lookup?&amp;title=Nonlinear%20Hall%20effects&amp;journal=Nat.%20Rev.%20Phys.&amp;doi=10.1038%2Fs42254-021-00359-6&amp;volume=3&amp;pages=744-752&amp;publication_year=2021&amp;author=Du%2CZZ&amp;author=Lu%2CH-Z&amp;author=Xie%2CXC\" target=\"_blank\"><br \/>\n                    Google Scholar<\/a>\u00a0\n                <\/p>\n<\/li>\n<li class=\"c-article-references__item js-c-reading-companion-references-item\" data-counter=\"90.\">\n<p class=\"c-article-references__text\" id=\"ref-CR90\">Ortix, C. Nonlinear Hall effect with time-reversal symmetry: theory and material realizations. Adv. Quantum Technol. <b>4<\/b>, 2100056 (2021).<\/p>\n<p class=\"c-article-references__links u-hide-print\"><a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"10.1002\/qute.202100056\" data-track-item_id=\"10.1002\/qute.202100056\" data-track-value=\"article reference\" data-track-action=\"article reference\" href=\"https:\/\/doi.org\/10.1002%2Fqute.202100056\" aria-label=\"Article reference 90\" data-doi=\"10.1002\/qute.202100056\" target=\"_blank\">Article<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"link\" data-track-item_id=\"link\" data-track-value=\"cas reference\" data-track-action=\"cas reference\" href=\"https:\/\/www.nature.com\/articles\/cas-redirect\/1:CAS:528:DC%2BB3MXhs1SnurbO\" aria-label=\"CAS reference 90\" target=\"_blank\">CAS<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" data-track-action=\"google scholar reference\" data-track-value=\"google scholar reference\" data-track-label=\"link\" data-track-item_id=\"link\" rel=\"nofollow noopener\" aria-label=\"Google Scholar reference 90\" href=\"http:\/\/scholar.google.com\/scholar_lookup?&amp;title=Nonlinear%20Hall%20effect%20with%20time-reversal%20symmetry%3A%20theory%20and%20material%20realizations&amp;journal=Adv.%20Quantum%20Technol.&amp;doi=10.1002%2Fqute.202100056&amp;volume=4&amp;publication_year=2021&amp;author=Ortix%2CC\" target=\"_blank\"><br \/>\n                    Google Scholar<\/a>\u00a0\n                <\/p>\n<\/li>\n<li class=\"c-article-references__item js-c-reading-companion-references-item\" data-counter=\"91.\">\n<p class=\"c-article-references__text\" id=\"ref-CR91\">Su\u00e1rez-Rodr\u00edguez, M. et al. Nonlinear transport in non-centrosymmetric systems. Nat. Mater. <b>24<\/b>, 1005\u20131018 (2025).<\/p>\n<p class=\"c-article-references__links u-hide-print\"><a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"10.1038\/s41563-025-02261-3\" data-track-item_id=\"10.1038\/s41563-025-02261-3\" data-track-value=\"article reference\" data-track-action=\"article reference\" href=\"https:\/\/doi.org\/10.1038%2Fs41563-025-02261-3\" aria-label=\"Article reference 91\" data-doi=\"10.1038\/s41563-025-02261-3\" target=\"_blank\">Article<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"link\" data-track-item_id=\"link\" data-track-value=\"pubmed reference\" data-track-action=\"pubmed reference\" href=\"http:\/\/www.ncbi.nlm.nih.gov\/entrez\/query.fcgi?cmd=Retrieve&amp;db=PubMed&amp;dopt=Abstract&amp;list_uids=40542234\" aria-label=\"PubMed reference 91\" target=\"_blank\">PubMed<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" data-track-action=\"google scholar reference\" data-track-value=\"google scholar reference\" data-track-label=\"link\" data-track-item_id=\"link\" rel=\"nofollow noopener\" aria-label=\"Google Scholar reference 91\" href=\"http:\/\/scholar.google.com\/scholar_lookup?&amp;title=Nonlinear%20transport%20in%20non-centrosymmetric%20systems&amp;journal=Nat.%20Mater.&amp;doi=10.1038%2Fs41563-025-02261-3&amp;volume=24&amp;pages=1005-1018&amp;publication_year=2025&amp;author=Su%C3%A1rez-Rodr%C3%ADguez%2CM\" target=\"_blank\"><br \/>\n                    Google Scholar<\/a>\u00a0\n                <\/p>\n<\/li>\n<li class=\"c-article-references__item js-c-reading-companion-references-item\" data-counter=\"92.\">\n<p class=\"c-article-references__text\" id=\"ref-CR92\">Feng, Y., Mandru, A.-O., Y\u0131ld\u0131r\u0131m, O. &amp; Hug, H. Quantitative magnetic force microscopy: transfer-function method revisited. Phys. Rev. Appl. <b>18<\/b>, 024016 (2022).<\/p>\n<p class=\"c-article-references__links u-hide-print\"><a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"10.1103\/PhysRevApplied.18.024016\" data-track-item_id=\"10.1103\/PhysRevApplied.18.024016\" data-track-value=\"article reference\" data-track-action=\"article reference\" href=\"https:\/\/doi.org\/10.1103%2FPhysRevApplied.18.024016\" aria-label=\"Article reference 92\" data-doi=\"10.1103\/PhysRevApplied.18.024016\" target=\"_blank\">Article<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"link\" data-track-item_id=\"link\" data-track-value=\"cas reference\" data-track-action=\"cas reference\" href=\"https:\/\/www.nature.com\/articles\/cas-redirect\/1:CAS:528:DC%2BB38XisVOlt7fF\" aria-label=\"CAS reference 92\" target=\"_blank\">CAS<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" data-track-action=\"google scholar reference\" data-track-value=\"google scholar reference\" data-track-label=\"link\" data-track-item_id=\"link\" rel=\"nofollow noopener\" aria-label=\"Google Scholar reference 92\" href=\"http:\/\/scholar.google.com\/scholar_lookup?&amp;title=Quantitative%20magnetic%20force%20microscopy%3A%20transfer-function%20method%20revisited&amp;journal=Phys.%20Rev.%20Appl.&amp;doi=10.1103%2FPhysRevApplied.18.024016&amp;volume=18&amp;publication_year=2022&amp;author=Feng%2CY&amp;author=Mandru%2CA-O&amp;author=Y%C4%B1ld%C4%B1r%C4%B1m%2CO&amp;author=Hug%2CH\" target=\"_blank\"><br \/>\n                    Google Scholar<\/a>\u00a0\n                <\/p>\n<\/li>\n<li class=\"c-article-references__item js-c-reading-companion-references-item\" data-counter=\"93.\">\n<p class=\"c-article-references__text\" id=\"ref-CR93\">Dugato, D. A. et al. Curved nanomagnets: an archetype for the skyrmionic states at ambient conditions. Nano Lett. <b>25<\/b>, 8901\u20138908 (2025).<\/p>\n<p class=\"c-article-references__links u-hide-print\"><a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"10.1021\/acs.nanolett.5c00773\" data-track-item_id=\"10.1021\/acs.nanolett.5c00773\" data-track-value=\"article reference\" data-track-action=\"article reference\" href=\"https:\/\/doi.org\/10.1021%2Facs.nanolett.5c00773\" aria-label=\"Article reference 93\" data-doi=\"10.1021\/acs.nanolett.5c00773\" target=\"_blank\">Article<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"link\" data-track-item_id=\"link\" data-track-value=\"cas reference\" data-track-action=\"cas reference\" href=\"https:\/\/www.nature.com\/articles\/cas-redirect\/1:CAS:528:DC%2BB2MXosVKksro%3D\" aria-label=\"CAS reference 93\" target=\"_blank\">CAS<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"link\" data-track-item_id=\"link\" data-track-value=\"pubmed reference\" data-track-action=\"pubmed reference\" href=\"http:\/\/www.ncbi.nlm.nih.gov\/entrez\/query.fcgi?cmd=Retrieve&amp;db=PubMed&amp;dopt=Abstract&amp;list_uids=40207654\" aria-label=\"PubMed reference 93\" target=\"_blank\">PubMed<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"link\" data-track-item_id=\"link\" data-track-value=\"pubmed central reference\" data-track-action=\"pubmed central reference\" href=\"http:\/\/www.ncbi.nlm.nih.gov\/pmc\/articles\/PMC12142663\" aria-label=\"PubMed Central reference 93\" target=\"_blank\">PubMed Central<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" data-track-action=\"google scholar reference\" data-track-value=\"google scholar reference\" data-track-label=\"link\" data-track-item_id=\"link\" rel=\"nofollow noopener\" aria-label=\"Google Scholar reference 93\" href=\"http:\/\/scholar.google.com\/scholar_lookup?&amp;title=Curved%20nanomagnets%3A%20an%20archetype%20for%20the%20skyrmionic%20states%20at%20ambient%20conditions&amp;journal=Nano%20Lett.&amp;doi=10.1021%2Facs.nanolett.5c00773&amp;volume=25&amp;pages=8901-8908&amp;publication_year=2025&amp;author=Dugato%2CDA\" target=\"_blank\"><br \/>\n                    Google Scholar<\/a>\u00a0\n                <\/p>\n<\/li>\n<li class=\"c-article-references__item js-c-reading-companion-references-item\" data-counter=\"94.\">\n<p class=\"c-article-references__text\" id=\"ref-CR94\">Rovny, J. et al. Nanoscale diamond quantum sensors for many-body physics. Nat. Rev. Phys. <b>6<\/b>, 753\u2013768 (2024).<\/p>\n<p class=\"c-article-references__links u-hide-print\"><a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"10.1038\/s42254-024-00775-4\" data-track-item_id=\"10.1038\/s42254-024-00775-4\" data-track-value=\"article reference\" data-track-action=\"article reference\" href=\"https:\/\/doi.org\/10.1038%2Fs42254-024-00775-4\" aria-label=\"Article reference 94\" data-doi=\"10.1038\/s42254-024-00775-4\" target=\"_blank\">Article<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" data-track-action=\"google scholar reference\" data-track-value=\"google scholar reference\" data-track-label=\"link\" data-track-item_id=\"link\" rel=\"nofollow noopener\" aria-label=\"Google Scholar reference 94\" href=\"http:\/\/scholar.google.com\/scholar_lookup?&amp;title=Nanoscale%20diamond%20quantum%20sensors%20for%20many-body%20physics&amp;journal=Nat.%20Rev.%20Phys.&amp;doi=10.1038%2Fs42254-024-00775-4&amp;volume=6&amp;pages=753-768&amp;publication_year=2024&amp;author=Rovny%2CJ\" target=\"_blank\"><br \/>\n                    Google Scholar<\/a>\u00a0\n                <\/p>\n<\/li>\n<li class=\"c-article-references__item js-c-reading-companion-references-item\" data-counter=\"95.\">\n<p class=\"c-article-references__text\" id=\"ref-CR95\">Spethmann, J., Gr\u00fcnebohm, M., Wiesendanger, R., von Bergmann, K. &amp; Kubetzka, A. Discovery and characterization of a new type of domain wall in a row-wise antiferromagnet. Nat. Commun. <b>12<\/b>, 3488 (2021).<\/p>\n<p class=\"c-article-references__links u-hide-print\"><a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"10.1038\/s41467-021-23760-2\" data-track-item_id=\"10.1038\/s41467-021-23760-2\" data-track-value=\"article reference\" data-track-action=\"article reference\" href=\"https:\/\/doi.org\/10.1038%2Fs41467-021-23760-2\" aria-label=\"Article reference 95\" data-doi=\"10.1038\/s41467-021-23760-2\" target=\"_blank\">Article<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"link\" data-track-item_id=\"link\" data-track-value=\"cas reference\" data-track-action=\"cas reference\" href=\"https:\/\/www.nature.com\/articles\/cas-redirect\/1:CAS:528:DC%2BB3MXhsVOqt7bJ\" aria-label=\"CAS reference 95\" target=\"_blank\">CAS<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"link\" data-track-item_id=\"link\" data-track-value=\"pubmed reference\" data-track-action=\"pubmed reference\" href=\"http:\/\/www.ncbi.nlm.nih.gov\/entrez\/query.fcgi?cmd=Retrieve&amp;db=PubMed&amp;dopt=Abstract&amp;list_uids=34108461\" aria-label=\"PubMed reference 95\" target=\"_blank\">PubMed<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"link\" data-track-item_id=\"link\" data-track-value=\"pubmed central reference\" data-track-action=\"pubmed central reference\" href=\"http:\/\/www.ncbi.nlm.nih.gov\/pmc\/articles\/PMC8190316\" aria-label=\"PubMed Central reference 95\" target=\"_blank\">PubMed Central<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" data-track-action=\"google scholar reference\" data-track-value=\"google scholar reference\" data-track-label=\"link\" data-track-item_id=\"link\" rel=\"nofollow noopener\" aria-label=\"Google Scholar reference 95\" href=\"http:\/\/scholar.google.com\/scholar_lookup?&amp;title=Discovery%20and%20characterization%20of%20a%20new%20type%20of%20domain%20wall%20in%20a%20row-wise%20antiferromagnet&amp;journal=Nat.%20Commun.&amp;doi=10.1038%2Fs41467-021-23760-2&amp;volume=12&amp;publication_year=2021&amp;author=Spethmann%2CJ&amp;author=Gr%C3%BCnebohm%2CM&amp;author=Wiesendanger%2CR&amp;author=Bergmann%2CK&amp;author=Kubetzka%2CA\" target=\"_blank\"><br \/>\n                    Google Scholar<\/a>\u00a0\n                <\/p>\n<\/li>\n<li class=\"c-article-references__item js-c-reading-companion-references-item\" data-counter=\"96.\">\n<p class=\"c-article-references__text\" id=\"ref-CR96\">Lantz, M. A. et al. Magnetic tape storage technology. ACM Trans. Storage <b>21<\/b>, 1\u201370 (2025).<\/p>\n<p class=\"c-article-references__links u-hide-print\"><a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"10.1145\/3708997\" data-track-item_id=\"10.1145\/3708997\" data-track-value=\"article reference\" data-track-action=\"article reference\" href=\"https:\/\/doi.org\/10.1145%2F3708997\" aria-label=\"Article reference 96\" data-doi=\"10.1145\/3708997\" target=\"_blank\">Article<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" data-track-action=\"google scholar reference\" data-track-value=\"google scholar reference\" data-track-label=\"link\" data-track-item_id=\"link\" rel=\"nofollow noopener\" aria-label=\"Google Scholar reference 96\" href=\"http:\/\/scholar.google.com\/scholar_lookup?&amp;title=Magnetic%20tape%20storage%20technology&amp;journal=ACM%20Trans.%20Storage&amp;doi=10.1145%2F3708997&amp;volume=21&amp;pages=1-70&amp;publication_year=2025&amp;author=Lantz%2CMA\" target=\"_blank\"><br \/>\n                    Google Scholar<\/a>\u00a0\n                <\/p>\n<\/li>\n<li class=\"c-article-references__item js-c-reading-companion-references-item\" data-counter=\"97.\">\n<p class=\"c-article-references__text\" id=\"ref-CR97\">Ha, M. et al. Printable and stretchable giant magnetoresistive sensors for highly compliant and skin-conformal electronics. Adv. Mater. <b>33<\/b>, 2005521 (2021).<\/p>\n<p class=\"c-article-references__links u-hide-print\"><a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"10.1002\/adma.202005521\" data-track-item_id=\"10.1002\/adma.202005521\" data-track-value=\"article reference\" data-track-action=\"article reference\" href=\"https:\/\/doi.org\/10.1002%2Fadma.202005521\" aria-label=\"Article reference 97\" data-doi=\"10.1002\/adma.202005521\" target=\"_blank\">Article<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"link\" data-track-item_id=\"link\" data-track-value=\"cas reference\" data-track-action=\"cas reference\" href=\"https:\/\/www.nature.com\/articles\/cas-redirect\/1:CAS:528:DC%2BB3MXjtFKrtbs%3D\" aria-label=\"CAS reference 97\" target=\"_blank\">CAS<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"link\" data-track-item_id=\"link\" data-track-value=\"pubmed reference\" data-track-action=\"pubmed reference\" href=\"http:\/\/www.ncbi.nlm.nih.gov\/entrez\/query.fcgi?cmd=Retrieve&amp;db=PubMed&amp;dopt=Abstract&amp;list_uids=33533129\" aria-label=\"PubMed reference 97\" target=\"_blank\">PubMed<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"link\" data-track-item_id=\"link\" data-track-value=\"pubmed central reference\" data-track-action=\"pubmed central reference\" href=\"http:\/\/www.ncbi.nlm.nih.gov\/pmc\/articles\/PMC11469064\" aria-label=\"PubMed Central reference 97\" target=\"_blank\">PubMed Central<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" data-track-action=\"google scholar reference\" data-track-value=\"google scholar reference\" data-track-label=\"link\" data-track-item_id=\"link\" rel=\"nofollow noopener\" aria-label=\"Google Scholar reference 97\" href=\"http:\/\/scholar.google.com\/scholar_lookup?&amp;title=Printable%20and%20stretchable%20giant%20magnetoresistive%20sensors%20for%20highly%20compliant%20and%20skin-conformal%20electronics&amp;journal=Adv.%20Mater.&amp;doi=10.1002%2Fadma.202005521&amp;volume=33&amp;publication_year=2021&amp;author=Ha%2CM\" target=\"_blank\"><br \/>\n                    Google Scholar<\/a>\u00a0\n                <\/p>\n<\/li>\n<li class=\"c-article-references__item js-c-reading-companion-references-item\" data-counter=\"98.\">\n<p class=\"c-article-references__text\" id=\"ref-CR98\">Xu, R. et al. Printed conformal and transparent magnetoresistive sensors for seamless integration and environment-resilient touchless interaction. ACS Nano <b>19<\/b>, 21891\u201321903 (2025).<\/p>\n<p class=\"c-article-references__links u-hide-print\"><a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"10.1021\/acsnano.5c07664\" data-track-item_id=\"10.1021\/acsnano.5c07664\" data-track-value=\"article reference\" data-track-action=\"article reference\" href=\"https:\/\/doi.org\/10.1021%2Facsnano.5c07664\" aria-label=\"Article reference 98\" data-doi=\"10.1021\/acsnano.5c07664\" target=\"_blank\">Article<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"link\" data-track-item_id=\"link\" data-track-value=\"cas reference\" data-track-action=\"cas reference\" href=\"https:\/\/www.nature.com\/articles\/cas-redirect\/1:CAS:528:DC%2BB2MXht1OntL7N\" aria-label=\"CAS reference 98\" target=\"_blank\">CAS<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"link\" data-track-item_id=\"link\" data-track-value=\"pubmed reference\" data-track-action=\"pubmed reference\" href=\"http:\/\/www.ncbi.nlm.nih.gov\/entrez\/query.fcgi?cmd=Retrieve&amp;db=PubMed&amp;dopt=Abstract&amp;list_uids=40468865\" aria-label=\"PubMed reference 98\" target=\"_blank\">PubMed<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"link\" data-track-item_id=\"link\" data-track-value=\"pubmed central reference\" data-track-action=\"pubmed central reference\" href=\"http:\/\/www.ncbi.nlm.nih.gov\/pmc\/articles\/PMC12177943\" aria-label=\"PubMed Central reference 98\" target=\"_blank\">PubMed Central<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" data-track-action=\"google scholar reference\" data-track-value=\"google scholar reference\" data-track-label=\"link\" data-track-item_id=\"link\" rel=\"nofollow noopener\" aria-label=\"Google Scholar reference 98\" href=\"http:\/\/scholar.google.com\/scholar_lookup?&amp;title=Printed%20conformal%20and%20transparent%20magnetoresistive%20sensors%20for%20seamless%20integration%20and%20environment-resilient%20touchless%20interaction&amp;journal=ACS%20Nano&amp;doi=10.1021%2Facsnano.5c07664&amp;volume=19&amp;pages=21891-21903&amp;publication_year=2025&amp;author=Xu%2CR\" target=\"_blank\"><br \/>\n                    Google Scholar<\/a>\u00a0\n                <\/p>\n<\/li>\n<li class=\"c-article-references__item js-c-reading-companion-references-item\" data-counter=\"99.\">\n<p class=\"c-article-references__text\" id=\"ref-CR99\">Bandodkar, A. J. et al. All-printed magnetically self-healing electrochemical devices. Sci. Adv. <b>2<\/b>, e1601465 (2016).<\/p>\n<p class=\"c-article-references__links u-hide-print\"><a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"10.1126\/sciadv.1601465\" data-track-item_id=\"10.1126\/sciadv.1601465\" data-track-value=\"article reference\" data-track-action=\"article reference\" href=\"https:\/\/doi.org\/10.1126%2Fsciadv.1601465\" aria-label=\"Article reference 99\" data-doi=\"10.1126\/sciadv.1601465\" target=\"_blank\">Article<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"link\" data-track-item_id=\"link\" data-track-value=\"pubmed reference\" data-track-action=\"pubmed reference\" href=\"http:\/\/www.ncbi.nlm.nih.gov\/entrez\/query.fcgi?cmd=Retrieve&amp;db=PubMed&amp;dopt=Abstract&amp;list_uids=27847875\" aria-label=\"PubMed reference 99\" target=\"_blank\">PubMed<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"link\" data-track-item_id=\"link\" data-track-value=\"pubmed central reference\" data-track-action=\"pubmed central reference\" href=\"http:\/\/www.ncbi.nlm.nih.gov\/pmc\/articles\/PMC5099985\" aria-label=\"PubMed Central reference 99\" target=\"_blank\">PubMed Central<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" data-track-action=\"google scholar reference\" data-track-value=\"google scholar reference\" data-track-label=\"link\" data-track-item_id=\"link\" rel=\"nofollow noopener\" aria-label=\"Google Scholar reference 99\" href=\"http:\/\/scholar.google.com\/scholar_lookup?&amp;title=All-printed%20magnetically%20self-healing%20electrochemical%20devices&amp;journal=Sci.%20Adv.&amp;doi=10.1126%2Fsciadv.1601465&amp;volume=2&amp;publication_year=2016&amp;author=Bandodkar%2CAJ\" target=\"_blank\"><br \/>\n                    Google Scholar<\/a>\u00a0\n                <\/p>\n<\/li>\n<li class=\"c-article-references__item js-c-reading-companion-references-item\" data-counter=\"100.\">\n<p class=\"c-article-references__text\" id=\"ref-CR100\">Wang, Y. et al. Hierarchically structured self-healing actuators with superfast light- and magnetic-response. Adv. Funct. Mater. <b>29<\/b>, 1906198 (2019).<\/p>\n<p class=\"c-article-references__links u-hide-print\"><a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"10.1002\/adfm.201906198\" data-track-item_id=\"10.1002\/adfm.201906198\" data-track-value=\"article reference\" data-track-action=\"article reference\" href=\"https:\/\/doi.org\/10.1002%2Fadfm.201906198\" aria-label=\"Article reference 100\" data-doi=\"10.1002\/adfm.201906198\" target=\"_blank\">Article<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"link\" data-track-item_id=\"link\" data-track-value=\"cas reference\" data-track-action=\"cas reference\" href=\"https:\/\/www.nature.com\/articles\/cas-redirect\/1:CAS:528:DC%2BC1MXhvFWkt7fF\" aria-label=\"CAS reference 100\" target=\"_blank\">CAS<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" data-track-action=\"google scholar reference\" data-track-value=\"google scholar reference\" data-track-label=\"link\" data-track-item_id=\"link\" rel=\"nofollow noopener\" aria-label=\"Google Scholar reference 100\" href=\"http:\/\/scholar.google.com\/scholar_lookup?&amp;title=Hierarchically%20structured%20self-healing%20actuators%20with%20superfast%20light-%20and%20magnetic-response&amp;journal=Adv.%20Funct.%20Mater.&amp;doi=10.1002%2Fadfm.201906198&amp;volume=29&amp;publication_year=2019&amp;author=Wang%2CY\" target=\"_blank\"><br \/>\n                    Google Scholar<\/a>\u00a0\n                <\/p>\n<\/li>\n<li class=\"c-article-references__item js-c-reading-companion-references-item\" data-counter=\"101.\">\n<p class=\"c-article-references__text\" id=\"ref-CR101\">Xu, R. et al. Self-healable printed magnetic field sensors using alternating magnetic fields. Nat. Commun. <b>13<\/b>, 6587 (2022).<\/p>\n<p class=\"c-article-references__links u-hide-print\"><a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"10.1038\/s41467-022-34235-3\" data-track-item_id=\"10.1038\/s41467-022-34235-3\" data-track-value=\"article reference\" data-track-action=\"article reference\" href=\"https:\/\/doi.org\/10.1038%2Fs41467-022-34235-3\" aria-label=\"Article reference 101\" data-doi=\"10.1038\/s41467-022-34235-3\" target=\"_blank\">Article<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"link\" data-track-item_id=\"link\" data-track-value=\"cas reference\" data-track-action=\"cas reference\" href=\"https:\/\/www.nature.com\/articles\/cas-redirect\/1:CAS:528:DC%2BB38XivVWqs7jI\" aria-label=\"CAS reference 101\" target=\"_blank\">CAS<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"link\" data-track-item_id=\"link\" data-track-value=\"pubmed reference\" data-track-action=\"pubmed reference\" href=\"http:\/\/www.ncbi.nlm.nih.gov\/entrez\/query.fcgi?cmd=Retrieve&amp;db=PubMed&amp;dopt=Abstract&amp;list_uids=36329023\" aria-label=\"PubMed reference 101\" target=\"_blank\">PubMed<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"link\" data-track-item_id=\"link\" data-track-value=\"pubmed central reference\" data-track-action=\"pubmed central reference\" href=\"http:\/\/www.ncbi.nlm.nih.gov\/pmc\/articles\/PMC9631606\" aria-label=\"PubMed Central reference 101\" target=\"_blank\">PubMed Central<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" data-track-action=\"google scholar reference\" data-track-value=\"google scholar reference\" data-track-label=\"link\" data-track-item_id=\"link\" rel=\"nofollow noopener\" aria-label=\"Google Scholar reference 101\" href=\"http:\/\/scholar.google.com\/scholar_lookup?&amp;title=Self-healable%20printed%20magnetic%20field%20sensors%20using%20alternating%20magnetic%20fields&amp;journal=Nat.%20Commun.&amp;doi=10.1038%2Fs41467-022-34235-3&amp;volume=13&amp;publication_year=2022&amp;author=Xu%2CR\" target=\"_blank\"><br \/>\n                    Google Scholar<\/a>\u00a0\n                <\/p>\n<\/li>\n<li class=\"c-article-references__item js-c-reading-companion-references-item\" data-counter=\"102.\">\n<p class=\"c-article-references__text\" id=\"ref-CR102\">Wang, Z. et al. Highly sensitive flexible magnetic sensor based on anisotropic magnetoresistance effect. Adv. Mater. <b>28<\/b>, 9370\u20139377 (2016).<\/p>\n<p class=\"c-article-references__links u-hide-print\"><a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"10.1002\/adma.201602910\" data-track-item_id=\"10.1002\/adma.201602910\" data-track-value=\"article reference\" data-track-action=\"article reference\" href=\"https:\/\/doi.org\/10.1002%2Fadma.201602910\" aria-label=\"Article reference 102\" data-doi=\"10.1002\/adma.201602910\" target=\"_blank\">Article<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"link\" data-track-item_id=\"link\" data-track-value=\"cas reference\" data-track-action=\"cas reference\" href=\"https:\/\/www.nature.com\/articles\/cas-redirect\/1:CAS:528:DC%2BC28XhsVOqsb%2FK\" aria-label=\"CAS reference 102\" target=\"_blank\">CAS<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"link\" data-track-item_id=\"link\" data-track-value=\"pubmed reference\" data-track-action=\"pubmed reference\" href=\"http:\/\/www.ncbi.nlm.nih.gov\/entrez\/query.fcgi?cmd=Retrieve&amp;db=PubMed&amp;dopt=Abstract&amp;list_uids=27593972\" aria-label=\"PubMed reference 102\" target=\"_blank\">PubMed<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" data-track-action=\"google scholar reference\" data-track-value=\"google scholar reference\" data-track-label=\"link\" data-track-item_id=\"link\" rel=\"nofollow noopener\" aria-label=\"Google Scholar reference 102\" href=\"http:\/\/scholar.google.com\/scholar_lookup?&amp;title=Highly%20sensitive%20flexible%20magnetic%20sensor%20based%20on%20anisotropic%20magnetoresistance%20effect&amp;journal=Adv.%20Mater.&amp;doi=10.1002%2Fadma.201602910&amp;volume=28&amp;pages=9370-9377&amp;publication_year=2016&amp;author=Wang%2CZ\" target=\"_blank\"><br \/>\n                    Google Scholar<\/a>\u00a0\n                <\/p>\n<\/li>\n<li class=\"c-article-references__item js-c-reading-companion-references-item\" data-counter=\"103.\">\n<p class=\"c-article-references__text\" id=\"ref-CR103\">Loong, L. M. et al. Flexible MgO barrier magnetic tunnel junctions. Adv. Mater. <b>28<\/b>, 4983\u20134990 (2016).<\/p>\n<p class=\"c-article-references__links u-hide-print\"><a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"10.1002\/adma.201600062\" data-track-item_id=\"10.1002\/adma.201600062\" data-track-value=\"article reference\" data-track-action=\"article reference\" href=\"https:\/\/doi.org\/10.1002%2Fadma.201600062\" aria-label=\"Article reference 103\" data-doi=\"10.1002\/adma.201600062\" target=\"_blank\">Article<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"link\" data-track-item_id=\"link\" data-track-value=\"cas reference\" data-track-action=\"cas reference\" href=\"https:\/\/www.nature.com\/articles\/cas-redirect\/1:CAS:528:DC%2BC28XmvFartrc%3D\" aria-label=\"CAS reference 103\" target=\"_blank\">CAS<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"link\" data-track-item_id=\"link\" data-track-value=\"pubmed reference\" data-track-action=\"pubmed reference\" href=\"http:\/\/www.ncbi.nlm.nih.gov\/entrez\/query.fcgi?cmd=Retrieve&amp;db=PubMed&amp;dopt=Abstract&amp;list_uids=27119207\" aria-label=\"PubMed reference 103\" target=\"_blank\">PubMed<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" data-track-action=\"google scholar reference\" data-track-value=\"google scholar reference\" data-track-label=\"link\" data-track-item_id=\"link\" rel=\"nofollow noopener\" aria-label=\"Google Scholar reference 103\" href=\"http:\/\/scholar.google.com\/scholar_lookup?&amp;title=Flexible%20MgO%20barrier%20magnetic%20tunnel%20junctions&amp;journal=Adv.%20Mater.&amp;doi=10.1002%2Fadma.201600062&amp;volume=28&amp;pages=4983-4990&amp;publication_year=2016&amp;author=Loong%2CLM\" target=\"_blank\"><br \/>\n                    Google Scholar<\/a>\u00a0\n                <\/p>\n<\/li>\n<li class=\"c-article-references__item js-c-reading-companion-references-item\" data-counter=\"104.\">\n<p class=\"c-article-references__text\" id=\"ref-CR104\">Kondo, M. et al. Imperceptible magnetic sensor matrix system integrated with organic driver and amplifier circuits. Sci. Adv. <b>6<\/b>, eaay6094 (2020).<\/p>\n<p class=\"c-article-references__links u-hide-print\"><a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"10.1126\/sciadv.aay6094\" data-track-item_id=\"10.1126\/sciadv.aay6094\" data-track-value=\"article reference\" data-track-action=\"article reference\" href=\"https:\/\/doi.org\/10.1126%2Fsciadv.aay6094\" aria-label=\"Article reference 104\" data-doi=\"10.1126\/sciadv.aay6094\" target=\"_blank\">Article<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"link\" data-track-item_id=\"link\" data-track-value=\"cas reference\" data-track-action=\"cas reference\" href=\"https:\/\/www.nature.com\/articles\/cas-redirect\/1:CAS:528:DC%2BB3cXitFGit7zN\" aria-label=\"CAS reference 104\" target=\"_blank\">CAS<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"link\" data-track-item_id=\"link\" data-track-value=\"pubmed reference\" data-track-action=\"pubmed reference\" href=\"http:\/\/www.ncbi.nlm.nih.gov\/entrez\/query.fcgi?cmd=Retrieve&amp;db=PubMed&amp;dopt=Abstract&amp;list_uids=32010789\" aria-label=\"PubMed reference 104\" target=\"_blank\">PubMed<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"link\" data-track-item_id=\"link\" data-track-value=\"pubmed central reference\" data-track-action=\"pubmed central reference\" href=\"http:\/\/www.ncbi.nlm.nih.gov\/pmc\/articles\/PMC6976294\" aria-label=\"PubMed Central reference 104\" target=\"_blank\">PubMed Central<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" data-track-action=\"google scholar reference\" data-track-value=\"google scholar reference\" data-track-label=\"link\" data-track-item_id=\"link\" rel=\"nofollow noopener\" aria-label=\"Google Scholar reference 104\" href=\"http:\/\/scholar.google.com\/scholar_lookup?&amp;title=Imperceptible%20magnetic%20sensor%20matrix%20system%20integrated%20with%20organic%20driver%20and%20amplifier%20circuits&amp;journal=Sci.%20Adv.&amp;doi=10.1126%2Fsciadv.aay6094&amp;volume=6&amp;publication_year=2020&amp;author=Kondo%2CM\" target=\"_blank\"><br \/>\n                    Google Scholar<\/a>\u00a0\n                <\/p>\n<\/li>\n<li class=\"c-article-references__item js-c-reading-companion-references-item\" data-counter=\"105.\">\n<p class=\"c-article-references__text\" id=\"ref-CR105\">Makushko, P. et al. Scalable magnetoreceptive e-skin for energy-efficient high-resolution interaction towards undisturbed extended reality. Nat. Commun. <b>16<\/b>, 1647 (2025).<\/p>\n<p class=\"c-article-references__links u-hide-print\"><a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"10.1038\/s41467-025-56805-x\" data-track-item_id=\"10.1038\/s41467-025-56805-x\" data-track-value=\"article reference\" data-track-action=\"article reference\" href=\"https:\/\/doi.org\/10.1038%2Fs41467-025-56805-x\" aria-label=\"Article reference 105\" data-doi=\"10.1038\/s41467-025-56805-x\" target=\"_blank\">Article<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"link\" data-track-item_id=\"link\" data-track-value=\"cas reference\" data-track-action=\"cas reference\" href=\"https:\/\/www.nature.com\/articles\/cas-redirect\/1:CAS:528:DC%2BB2MXkt1Kisbo%3D\" aria-label=\"CAS reference 105\" target=\"_blank\">CAS<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"link\" data-track-item_id=\"link\" data-track-value=\"pubmed reference\" data-track-action=\"pubmed reference\" href=\"http:\/\/www.ncbi.nlm.nih.gov\/entrez\/query.fcgi?cmd=Retrieve&amp;db=PubMed&amp;dopt=Abstract&amp;list_uids=39952943\" aria-label=\"PubMed reference 105\" target=\"_blank\">PubMed<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"link\" data-track-item_id=\"link\" data-track-value=\"pubmed central reference\" data-track-action=\"pubmed central reference\" href=\"http:\/\/www.ncbi.nlm.nih.gov\/pmc\/articles\/PMC11828903\" aria-label=\"PubMed Central reference 105\" target=\"_blank\">PubMed Central<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" data-track-action=\"google scholar reference\" data-track-value=\"google scholar reference\" data-track-label=\"link\" data-track-item_id=\"link\" rel=\"nofollow noopener\" aria-label=\"Google Scholar reference 105\" href=\"http:\/\/scholar.google.com\/scholar_lookup?&amp;title=Scalable%20magnetoreceptive%20e-skin%20for%20energy-efficient%20high-resolution%20interaction%20towards%20undisturbed%20extended%20reality&amp;journal=Nat.%20Commun.&amp;doi=10.1038%2Fs41467-025-56805-x&amp;volume=16&amp;publication_year=2025&amp;author=Makushko%2CP\" target=\"_blank\"><br \/>\n                    Google Scholar<\/a>\u00a0\n                <\/p>\n<\/li>\n<li class=\"c-article-references__item js-c-reading-companion-references-item\" data-counter=\"106.\">\n<p class=\"c-article-references__text\" id=\"ref-CR106\">Pan, L. et al. Omnidirectionally stretchable spin-valve sensor array with stable giant magnetoresistance performance. ACS Nano <b>19<\/b>, 5699\u20135708 (2025).<\/p>\n<p class=\"c-article-references__links u-hide-print\"><a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"10.1021\/acsnano.4c15964\" data-track-item_id=\"10.1021\/acsnano.4c15964\" data-track-value=\"article reference\" data-track-action=\"article reference\" href=\"https:\/\/doi.org\/10.1021%2Facsnano.4c15964\" aria-label=\"Article reference 106\" data-doi=\"10.1021\/acsnano.4c15964\" target=\"_blank\">Article<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"link\" data-track-item_id=\"link\" data-track-value=\"cas reference\" data-track-action=\"cas reference\" href=\"https:\/\/www.nature.com\/articles\/cas-redirect\/1:CAS:528:DC%2BB2MXis1emu7k%3D\" aria-label=\"CAS reference 106\" target=\"_blank\">CAS<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"link\" data-track-item_id=\"link\" data-track-value=\"pubmed reference\" data-track-action=\"pubmed reference\" href=\"http:\/\/www.ncbi.nlm.nih.gov\/entrez\/query.fcgi?cmd=Retrieve&amp;db=PubMed&amp;dopt=Abstract&amp;list_uids=39883044\" aria-label=\"PubMed reference 106\" target=\"_blank\">PubMed<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" data-track-action=\"google scholar reference\" data-track-value=\"google scholar reference\" data-track-label=\"link\" data-track-item_id=\"link\" rel=\"nofollow noopener\" aria-label=\"Google Scholar reference 106\" href=\"http:\/\/scholar.google.com\/scholar_lookup?&amp;title=Omnidirectionally%20stretchable%20spin-valve%20sensor%20array%20with%20stable%20giant%20magnetoresistance%20performance&amp;journal=ACS%20Nano&amp;doi=10.1021%2Facsnano.4c15964&amp;volume=19&amp;pages=5699-5708&amp;publication_year=2025&amp;author=Pan%2CL\" target=\"_blank\"><br \/>\n                    Google Scholar<\/a>\u00a0\n                <\/p>\n<\/li>\n<li class=\"c-article-references__item js-c-reading-companion-references-item\" data-counter=\"107.\">\n<p class=\"c-article-references__text\" id=\"ref-CR107\">Xu, J. et al. A soft magnetoelastic sensor to decode levels of fatigue. Nat. Electron. <b>8<\/b>, 709\u2013720 (2025).<\/p>\n<p class=\"c-article-references__links u-hide-print\"><a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"10.1038\/s41928-025-01418-x\" data-track-item_id=\"10.1038\/s41928-025-01418-x\" data-track-value=\"article reference\" data-track-action=\"article reference\" href=\"https:\/\/doi.org\/10.1038%2Fs41928-025-01418-x\" aria-label=\"Article reference 107\" data-doi=\"10.1038\/s41928-025-01418-x\" target=\"_blank\">Article<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"link\" data-track-item_id=\"link\" data-track-value=\"pubmed reference\" data-track-action=\"pubmed reference\" href=\"http:\/\/www.ncbi.nlm.nih.gov\/entrez\/query.fcgi?cmd=Retrieve&amp;db=PubMed&amp;dopt=Abstract&amp;list_uids=42022986\" aria-label=\"PubMed reference 107\" target=\"_blank\">PubMed<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"link\" data-track-item_id=\"link\" data-track-value=\"pubmed central reference\" data-track-action=\"pubmed central reference\" href=\"http:\/\/www.ncbi.nlm.nih.gov\/pmc\/articles\/PMC13099000\" aria-label=\"PubMed Central reference 107\" target=\"_blank\">PubMed Central<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" data-track-action=\"google scholar reference\" data-track-value=\"google scholar reference\" data-track-label=\"link\" data-track-item_id=\"link\" rel=\"nofollow noopener\" aria-label=\"Google Scholar reference 107\" href=\"http:\/\/scholar.google.com\/scholar_lookup?&amp;title=A%20soft%20magnetoelastic%20sensor%20to%20decode%20levels%20of%20fatigue&amp;journal=Nat.%20Electron.&amp;doi=10.1038%2Fs41928-025-01418-x&amp;volume=8&amp;pages=709-720&amp;publication_year=2025&amp;author=Xu%2CJ\" target=\"_blank\"><br \/>\n                    Google Scholar<\/a>\u00a0\n                <\/p>\n<\/li>\n<li class=\"c-article-references__item js-c-reading-companion-references-item\" data-counter=\"108.\">\n<p class=\"c-article-references__text\" id=\"ref-CR108\">Kim, Y., Yuk, H., Zhao, R., Chester, S. A. &amp; Zhao, X. Printing ferromagnetic domains for untethered fast-transforming soft materials. Nature <b>558<\/b>, 274\u2013279 (2018).<\/p>\n<p class=\"c-article-references__links u-hide-print\"><a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"10.1038\/s41586-018-0185-0\" data-track-item_id=\"10.1038\/s41586-018-0185-0\" data-track-value=\"article reference\" data-track-action=\"article reference\" href=\"https:\/\/doi.org\/10.1038%2Fs41586-018-0185-0\" aria-label=\"Article reference 108\" data-doi=\"10.1038\/s41586-018-0185-0\" target=\"_blank\">Article<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"link\" data-track-item_id=\"link\" data-track-value=\"cas reference\" data-track-action=\"cas reference\" href=\"https:\/\/www.nature.com\/articles\/cas-redirect\/1:CAS:528:DC%2BC1cXhtFeqtbfP\" aria-label=\"CAS reference 108\" target=\"_blank\">CAS<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"link\" data-track-item_id=\"link\" data-track-value=\"pubmed reference\" data-track-action=\"pubmed reference\" href=\"http:\/\/www.ncbi.nlm.nih.gov\/entrez\/query.fcgi?cmd=Retrieve&amp;db=PubMed&amp;dopt=Abstract&amp;list_uids=29899476\" aria-label=\"PubMed reference 108\" target=\"_blank\">PubMed<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" data-track-action=\"google scholar reference\" data-track-value=\"google scholar reference\" data-track-label=\"link\" data-track-item_id=\"link\" rel=\"nofollow noopener\" aria-label=\"Google Scholar reference 108\" href=\"http:\/\/scholar.google.com\/scholar_lookup?&amp;title=Printing%20ferromagnetic%20domains%20for%20untethered%20fast-transforming%20soft%20materials&amp;journal=Nature&amp;doi=10.1038%2Fs41586-018-0185-0&amp;volume=558&amp;pages=274-279&amp;publication_year=2018&amp;author=Kim%2CY&amp;author=Yuk%2CH&amp;author=Zhao%2CR&amp;author=Chester%2CSA&amp;author=Zhao%2CX\" target=\"_blank\"><br \/>\n                    Google Scholar<\/a>\u00a0\n                <\/p>\n<\/li>\n<li class=\"c-article-references__item js-c-reading-companion-references-item\" data-counter=\"109.\">\n<p class=\"c-article-references__text\" id=\"ref-CR109\">Hu, W., Lum, G. Z., Mastrangeli, M. &amp; Sitti, M. Small-scale soft-bodied robot with multimodal locomotion. Nature <b>554<\/b>, 81\u201385 (2018).<\/p>\n<p class=\"c-article-references__links u-hide-print\"><a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"10.1038\/nature25443\" data-track-item_id=\"10.1038\/nature25443\" data-track-value=\"article reference\" data-track-action=\"article reference\" href=\"https:\/\/doi.org\/10.1038%2Fnature25443\" aria-label=\"Article reference 109\" data-doi=\"10.1038\/nature25443\" target=\"_blank\">Article<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"link\" data-track-item_id=\"link\" data-track-value=\"cas reference\" data-track-action=\"cas reference\" href=\"https:\/\/www.nature.com\/articles\/cas-redirect\/1:CAS:528:DC%2BC1cXhs12gs7c%3D\" aria-label=\"CAS reference 109\" target=\"_blank\">CAS<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"link\" data-track-item_id=\"link\" data-track-value=\"pubmed reference\" data-track-action=\"pubmed reference\" href=\"http:\/\/www.ncbi.nlm.nih.gov\/entrez\/query.fcgi?cmd=Retrieve&amp;db=PubMed&amp;dopt=Abstract&amp;list_uids=29364873\" aria-label=\"PubMed reference 109\" target=\"_blank\">PubMed<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" data-track-action=\"google scholar reference\" data-track-value=\"google scholar reference\" data-track-label=\"link\" data-track-item_id=\"link\" rel=\"nofollow noopener\" aria-label=\"Google Scholar reference 109\" href=\"http:\/\/scholar.google.com\/scholar_lookup?&amp;title=Small-scale%20soft-bodied%20robot%20with%20multimodal%20locomotion&amp;journal=Nature&amp;doi=10.1038%2Fnature25443&amp;volume=554&amp;pages=81-85&amp;publication_year=2018&amp;author=Hu%2CW&amp;author=Lum%2CGZ&amp;author=Mastrangeli%2CM&amp;author=Sitti%2CM\" target=\"_blank\"><br \/>\n                    Google Scholar<\/a>\u00a0\n                <\/p>\n<\/li>\n<li class=\"c-article-references__item js-c-reading-companion-references-item\" data-counter=\"110.\">\n<p class=\"c-article-references__text\" id=\"ref-CR110\">Wang, X. et al. Untethered and ultrafast soft-bodied robots. Commun. Mater. <b>1<\/b>, 67 (2020).<\/p>\n<p class=\"c-article-references__links u-hide-print\"><a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"10.1038\/s43246-020-00067-1\" data-track-item_id=\"10.1038\/s43246-020-00067-1\" data-track-value=\"article reference\" data-track-action=\"article reference\" href=\"https:\/\/doi.org\/10.1038%2Fs43246-020-00067-1\" aria-label=\"Article reference 110\" data-doi=\"10.1038\/s43246-020-00067-1\" target=\"_blank\">Article<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" data-track-action=\"google scholar reference\" data-track-value=\"google scholar reference\" data-track-label=\"link\" data-track-item_id=\"link\" rel=\"nofollow noopener\" aria-label=\"Google Scholar reference 110\" href=\"http:\/\/scholar.google.com\/scholar_lookup?&amp;title=Untethered%20and%20ultrafast%20soft-bodied%20robots&amp;journal=Commun.%20Mater.&amp;doi=10.1038%2Fs43246-020-00067-1&amp;volume=1&amp;publication_year=2020&amp;author=Wang%2CX\" target=\"_blank\"><br \/>\n                    Google Scholar<\/a>\u00a0\n                <\/p>\n<\/li>\n<li class=\"c-article-references__item js-c-reading-companion-references-item\" data-counter=\"111.\">\n<p class=\"c-article-references__text\" id=\"ref-CR111\">Dreyfus, R. et al. Dexterous helical magnetic robot for improved endovascular access. Sci. Robot. <b>9<\/b>, eadh0298 (2024).<\/p>\n<p class=\"c-article-references__links u-hide-print\"><a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"10.1126\/scirobotics.adh0298\" data-track-item_id=\"10.1126\/scirobotics.adh0298\" data-track-value=\"article reference\" data-track-action=\"article reference\" href=\"https:\/\/doi.org\/10.1126%2Fscirobotics.adh0298\" aria-label=\"Article reference 111\" data-doi=\"10.1126\/scirobotics.adh0298\" target=\"_blank\">Article<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"link\" data-track-item_id=\"link\" data-track-value=\"cas reference\" data-track-action=\"cas reference\" href=\"https:\/\/www.nature.com\/articles\/cas-redirect\/1:STN:280:DC%2BB1czpvFCmsA%3D%3D\" aria-label=\"CAS reference 111\" target=\"_blank\">CAS<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"link\" data-track-item_id=\"link\" data-track-value=\"pubmed reference\" data-track-action=\"pubmed reference\" href=\"http:\/\/www.ncbi.nlm.nih.gov\/entrez\/query.fcgi?cmd=Retrieve&amp;db=PubMed&amp;dopt=Abstract&amp;list_uids=38354258\" aria-label=\"PubMed reference 111\" target=\"_blank\">PubMed<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" data-track-action=\"google scholar reference\" data-track-value=\"google scholar reference\" data-track-label=\"link\" data-track-item_id=\"link\" rel=\"nofollow noopener\" aria-label=\"Google Scholar reference 111\" href=\"http:\/\/scholar.google.com\/scholar_lookup?&amp;title=Dexterous%20helical%20magnetic%20robot%20for%20improved%20endovascular%20access&amp;journal=Sci.%20Robot.&amp;doi=10.1126%2Fscirobotics.adh0298&amp;volume=9&amp;publication_year=2024&amp;author=Dreyfus%2CR\" target=\"_blank\"><br \/>\n                    Google Scholar<\/a>\u00a0\n                <\/p>\n<\/li>\n<li class=\"c-article-references__item js-c-reading-companion-references-item\" data-counter=\"112.\">\n<p class=\"c-article-references__text\" id=\"ref-CR112\">Xu, H. et al. 3D nanofabricated soft microrobots with super-compliant picoforce springs as onboard sensors and actuators. Nat. Nanotechnol. <b>19<\/b>, 494\u2013503 (2024).<\/p>\n<p class=\"c-article-references__links u-hide-print\"><a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"10.1038\/s41565-023-01567-0\" data-track-item_id=\"10.1038\/s41565-023-01567-0\" data-track-value=\"article reference\" data-track-action=\"article reference\" href=\"https:\/\/doi.org\/10.1038%2Fs41565-023-01567-0\" aria-label=\"Article reference 112\" data-doi=\"10.1038\/s41565-023-01567-0\" target=\"_blank\">Article<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"link\" data-track-item_id=\"link\" data-track-value=\"cas reference\" data-track-action=\"cas reference\" href=\"https:\/\/www.nature.com\/articles\/cas-redirect\/1:CAS:528:DC%2BB2cXjvVajuw%3D%3D\" aria-label=\"CAS reference 112\" target=\"_blank\">CAS<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"link\" data-track-item_id=\"link\" data-track-value=\"pubmed reference\" data-track-action=\"pubmed reference\" href=\"http:\/\/www.ncbi.nlm.nih.gov\/entrez\/query.fcgi?cmd=Retrieve&amp;db=PubMed&amp;dopt=Abstract&amp;list_uids=38172430\" aria-label=\"PubMed reference 112\" target=\"_blank\">PubMed<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"link\" data-track-item_id=\"link\" data-track-value=\"pubmed central reference\" data-track-action=\"pubmed central reference\" href=\"http:\/\/www.ncbi.nlm.nih.gov\/pmc\/articles\/PMC11026159\" aria-label=\"PubMed Central reference 112\" target=\"_blank\">PubMed Central<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" data-track-action=\"google scholar reference\" data-track-value=\"google scholar reference\" data-track-label=\"link\" data-track-item_id=\"link\" rel=\"nofollow noopener\" aria-label=\"Google Scholar reference 112\" href=\"http:\/\/scholar.google.com\/scholar_lookup?&amp;title=3D%20nanofabricated%20soft%20microrobots%20with%20super-compliant%20picoforce%20springs%20as%20onboard%20sensors%20and%20actuators&amp;journal=Nat.%20Nanotechnol.&amp;doi=10.1038%2Fs41565-023-01567-0&amp;volume=19&amp;pages=494-503&amp;publication_year=2024&amp;author=Xu%2CH\" target=\"_blank\"><br \/>\n                    Google Scholar<\/a>\u00a0\n                <\/p>\n<\/li>\n<li class=\"c-article-references__item js-c-reading-companion-references-item\" data-counter=\"113.\">\n<p class=\"c-article-references__text\" id=\"ref-CR113\">Albrecht, M. et al. Magnetic multilayers on nanospheres. Nat. Mater. <b>4<\/b>, 203\u2013206 (2005).<\/p>\n<p class=\"c-article-references__links u-hide-print\"><a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"10.1038\/nmat1324\" data-track-item_id=\"10.1038\/nmat1324\" data-track-value=\"article reference\" data-track-action=\"article reference\" href=\"https:\/\/doi.org\/10.1038%2Fnmat1324\" aria-label=\"Article reference 113\" data-doi=\"10.1038\/nmat1324\" target=\"_blank\">Article<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"link\" data-track-item_id=\"link\" data-track-value=\"cas reference\" data-track-action=\"cas reference\" href=\"https:\/\/www.nature.com\/articles\/cas-redirect\/1:CAS:528:DC%2BD2MXhslSjt7w%3D\" aria-label=\"CAS reference 113\" target=\"_blank\">CAS<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"link\" data-track-item_id=\"link\" data-track-value=\"pubmed reference\" data-track-action=\"pubmed reference\" href=\"http:\/\/www.ncbi.nlm.nih.gov\/entrez\/query.fcgi?cmd=Retrieve&amp;db=PubMed&amp;dopt=Abstract&amp;list_uids=15711553\" aria-label=\"PubMed reference 113\" target=\"_blank\">PubMed<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" data-track-action=\"google scholar reference\" data-track-value=\"google scholar reference\" data-track-label=\"link\" data-track-item_id=\"link\" rel=\"nofollow noopener\" aria-label=\"Google Scholar reference 113\" href=\"http:\/\/scholar.google.com\/scholar_lookup?&amp;title=Magnetic%20multilayers%20on%20nanospheres&amp;journal=Nat.%20Mater.&amp;doi=10.1038%2Fnmat1324&amp;volume=4&amp;pages=203-206&amp;publication_year=2005&amp;author=Albrecht%2CM\" target=\"_blank\"><br \/>\n                    Google Scholar<\/a>\u00a0\n                <\/p>\n<\/li>\n<li class=\"c-article-references__item js-c-reading-companion-references-item\" data-counter=\"114.\">\n<p class=\"c-article-references__text\" id=\"ref-CR114\">Rahman, M. T., Lai, C.-H., Vokoun, D. &amp; Shams, N. N. A simple route to fabricate percolated perpendicular magnetic recording media. IEEE Trans. Magn. <b>43<\/b>, 2133\u20132135 (2007).<\/p>\n<p class=\"c-article-references__links u-hide-print\"><a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"10.1109\/TMAG.2007.893142\" data-track-item_id=\"10.1109\/TMAG.2007.893142\" data-track-value=\"article reference\" data-track-action=\"article reference\" href=\"https:\/\/doi.org\/10.1109%2FTMAG.2007.893142\" aria-label=\"Article reference 114\" data-doi=\"10.1109\/TMAG.2007.893142\" target=\"_blank\">Article<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"link\" data-track-item_id=\"link\" data-track-value=\"cas reference\" data-track-action=\"cas reference\" href=\"https:\/\/www.nature.com\/articles\/cas-redirect\/1:CAS:528:DC%2BD2sXmvVKisrs%3D\" aria-label=\"CAS reference 114\" target=\"_blank\">CAS<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" data-track-action=\"google scholar reference\" data-track-value=\"google scholar reference\" data-track-label=\"link\" data-track-item_id=\"link\" rel=\"nofollow noopener\" aria-label=\"Google Scholar reference 114\" href=\"http:\/\/scholar.google.com\/scholar_lookup?&amp;title=A%20simple%20route%20to%20fabricate%20percolated%20perpendicular%20magnetic%20recording%20media&amp;journal=IEEE%20Trans.%20Magn.&amp;doi=10.1109%2FTMAG.2007.893142&amp;volume=43&amp;pages=2133-2135&amp;publication_year=2007&amp;author=Rahman%2CMT&amp;author=Lai%2CC-H&amp;author=Vokoun%2CD&amp;author=Shams%2CNN\" target=\"_blank\"><br \/>\n                    Google Scholar<\/a>\u00a0\n                <\/p>\n<\/li>\n<li class=\"c-article-references__item js-c-reading-companion-references-item\" data-counter=\"115.\">\n<p class=\"c-article-references__text\" id=\"ref-CR115\">Laughlin, D. E., Peng, Y., Qin, Y.-L., Lin, M. &amp; Zhu, J.-G. Fabrication, microstructure, magnetic, and recording properties of percolated perpendicular media. IEEE Trans. Magn. <b>43<\/b>, 693\u2013697 (2007).<\/p>\n<p class=\"c-article-references__links u-hide-print\"><a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"10.1109\/TMAG.2006.888237\" data-track-item_id=\"10.1109\/TMAG.2006.888237\" data-track-value=\"article reference\" data-track-action=\"article reference\" href=\"https:\/\/doi.org\/10.1109%2FTMAG.2006.888237\" aria-label=\"Article reference 115\" data-doi=\"10.1109\/TMAG.2006.888237\" target=\"_blank\">Article<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"link\" data-track-item_id=\"link\" data-track-value=\"cas reference\" data-track-action=\"cas reference\" href=\"https:\/\/www.nature.com\/articles\/cas-redirect\/1:CAS:528:DC%2BD2sXisVKhtbY%3D\" aria-label=\"CAS reference 115\" target=\"_blank\">CAS<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" data-track-action=\"google scholar reference\" data-track-value=\"google scholar reference\" data-track-label=\"link\" data-track-item_id=\"link\" rel=\"nofollow noopener\" aria-label=\"Google Scholar reference 115\" href=\"http:\/\/scholar.google.com\/scholar_lookup?&amp;title=Fabrication%2C%20microstructure%2C%20magnetic%2C%20and%20recording%20properties%20of%20percolated%20perpendicular%20media&amp;journal=IEEE%20Trans.%20Magn.&amp;doi=10.1109%2FTMAG.2006.888237&amp;volume=43&amp;pages=693-697&amp;publication_year=2007&amp;author=Laughlin%2CDE&amp;author=Peng%2CY&amp;author=Qin%2CY-L&amp;author=Lin%2CM&amp;author=Zhu%2CJ-G\" target=\"_blank\"><br \/>\n                    Google Scholar<\/a>\u00a0\n                <\/p>\n<\/li>\n<li class=\"c-article-references__item js-c-reading-companion-references-item\" data-counter=\"116.\">\n<p class=\"c-article-references__text\" id=\"ref-CR116\">Brombacher, C. et al. Tailoring particle arrays by isotropic plasma etching: an approach towards percolated perpendicular media. Nanotechnology <b>20<\/b>, 105304 (2009).<\/p>\n<p class=\"c-article-references__links u-hide-print\"><a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"10.1088\/0957-4484\/20\/10\/105304\" data-track-item_id=\"10.1088\/0957-4484\/20\/10\/105304\" data-track-value=\"article reference\" data-track-action=\"article reference\" href=\"https:\/\/doi.org\/10.1088%2F0957-4484%2F20%2F10%2F105304\" aria-label=\"Article reference 116\" data-doi=\"10.1088\/0957-4484\/20\/10\/105304\" target=\"_blank\">Article<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"link\" data-track-item_id=\"link\" data-track-value=\"pubmed reference\" data-track-action=\"pubmed reference\" href=\"http:\/\/www.ncbi.nlm.nih.gov\/entrez\/query.fcgi?cmd=Retrieve&amp;db=PubMed&amp;dopt=Abstract&amp;list_uids=19417519\" aria-label=\"PubMed reference 116\" target=\"_blank\">PubMed<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" data-track-action=\"google scholar reference\" data-track-value=\"google scholar reference\" data-track-label=\"link\" data-track-item_id=\"link\" rel=\"nofollow noopener\" aria-label=\"Google Scholar reference 116\" href=\"http:\/\/scholar.google.com\/scholar_lookup?&amp;title=Tailoring%20particle%20arrays%20by%20isotropic%20plasma%20etching%3A%20an%20approach%20towards%20percolated%20perpendicular%20media&amp;journal=Nanotechnology&amp;doi=10.1088%2F0957-4484%2F20%2F10%2F105304&amp;volume=20&amp;publication_year=2009&amp;author=Brombacher%2CC\" target=\"_blank\"><br \/>\n                    Google Scholar<\/a>\u00a0\n                <\/p>\n<\/li>\n<li class=\"c-article-references__item js-c-reading-companion-references-item\" data-counter=\"117.\">\n<p class=\"c-article-references__text\" id=\"ref-CR117\">Tejo, F. et al. Stabilization of magnetic skyrmions on arrays of self-assembled hexagonal nanodomes for magnetic recording applications. ACS Appl. Mater. Interfaces <b>12<\/b>, 53454\u201353461 (2020).<\/p>\n<p class=\"c-article-references__links u-hide-print\"><a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"10.1021\/acsami.0c14350\" data-track-item_id=\"10.1021\/acsami.0c14350\" data-track-value=\"article reference\" data-track-action=\"article reference\" href=\"https:\/\/doi.org\/10.1021%2Facsami.0c14350\" aria-label=\"Article reference 117\" data-doi=\"10.1021\/acsami.0c14350\" target=\"_blank\">Article<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"link\" data-track-item_id=\"link\" data-track-value=\"cas reference\" data-track-action=\"cas reference\" href=\"https:\/\/www.nature.com\/articles\/cas-redirect\/1:CAS:528:DC%2BB3cXit1KgsrjP\" aria-label=\"CAS reference 117\" target=\"_blank\">CAS<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"link\" data-track-item_id=\"link\" data-track-value=\"pubmed reference\" data-track-action=\"pubmed reference\" href=\"http:\/\/www.ncbi.nlm.nih.gov\/entrez\/query.fcgi?cmd=Retrieve&amp;db=PubMed&amp;dopt=Abstract&amp;list_uids=33169962\" aria-label=\"PubMed reference 117\" target=\"_blank\">PubMed<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" data-track-action=\"google scholar reference\" data-track-value=\"google scholar reference\" data-track-label=\"link\" data-track-item_id=\"link\" rel=\"nofollow noopener\" aria-label=\"Google Scholar reference 117\" href=\"http:\/\/scholar.google.com\/scholar_lookup?&amp;title=Stabilization%20of%20magnetic%20skyrmions%20on%20arrays%20of%20self-assembled%20hexagonal%20nanodomes%20for%20magnetic%20recording%20applications&amp;journal=ACS%20Appl.%20Mater.%20Interfaces&amp;doi=10.1021%2Facsami.0c14350&amp;volume=12&amp;pages=53454-53461&amp;publication_year=2020&amp;author=Tejo%2CF\" target=\"_blank\"><br \/>\n                    Google Scholar<\/a>\u00a0\n                <\/p>\n<\/li>\n<li class=\"c-article-references__item js-c-reading-companion-references-item\" data-counter=\"118.\">\n<p class=\"c-article-references__text\" id=\"ref-CR118\">Parkin, S. S. P., Hayashi, M. &amp; Thomas, L. Magnetic domain-wall racetrack memory. Science <b>320<\/b>, 190\u2013194 (2008).<\/p>\n<p class=\"c-article-references__links u-hide-print\"><a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"10.1126\/science.1145799\" data-track-item_id=\"10.1126\/science.1145799\" data-track-value=\"article reference\" data-track-action=\"article reference\" href=\"https:\/\/doi.org\/10.1126%2Fscience.1145799\" aria-label=\"Article reference 118\" data-doi=\"10.1126\/science.1145799\" target=\"_blank\">Article<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"link\" data-track-item_id=\"link\" data-track-value=\"cas reference\" data-track-action=\"cas reference\" href=\"https:\/\/www.nature.com\/articles\/cas-redirect\/1:CAS:528:DC%2BD1cXktlGjtbo%3D\" aria-label=\"CAS reference 118\" target=\"_blank\">CAS<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"link\" data-track-item_id=\"link\" data-track-value=\"pubmed reference\" data-track-action=\"pubmed reference\" href=\"http:\/\/www.ncbi.nlm.nih.gov\/entrez\/query.fcgi?cmd=Retrieve&amp;db=PubMed&amp;dopt=Abstract&amp;list_uids=18403702\" aria-label=\"PubMed reference 118\" target=\"_blank\">PubMed<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" data-track-action=\"google scholar reference\" data-track-value=\"google scholar reference\" data-track-label=\"link\" data-track-item_id=\"link\" rel=\"nofollow noopener\" aria-label=\"Google Scholar reference 118\" href=\"http:\/\/scholar.google.com\/scholar_lookup?&amp;title=Magnetic%20domain-wall%20racetrack%20memory&amp;journal=Science&amp;doi=10.1126%2Fscience.1145799&amp;volume=320&amp;pages=190-194&amp;publication_year=2008&amp;author=Parkin%2CSSP&amp;author=Hayashi%2CM&amp;author=Thomas%2CL\" target=\"_blank\"><br \/>\n                    Google Scholar<\/a>\u00a0\n                <\/p>\n<\/li>\n<li class=\"c-article-references__item js-c-reading-companion-references-item\" data-counter=\"119.\">\n<p class=\"c-article-references__text\" id=\"ref-CR119\">Yan, M., K\u00e1kay, A., Gliga, S. &amp; Hertel, R. Beating the Walker limit with massless domain walls in cylindrical nanowires. Phys. Rev. Lett. <b>104<\/b>, 057201 (2010).<\/p>\n<p class=\"c-article-references__links u-hide-print\"><a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"10.1103\/PhysRevLett.104.057201\" data-track-item_id=\"10.1103\/PhysRevLett.104.057201\" data-track-value=\"article reference\" data-track-action=\"article reference\" href=\"https:\/\/doi.org\/10.1103%2FPhysRevLett.104.057201\" aria-label=\"Article reference 119\" data-doi=\"10.1103\/PhysRevLett.104.057201\" target=\"_blank\">Article<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"link\" data-track-item_id=\"link\" data-track-value=\"pubmed reference\" data-track-action=\"pubmed reference\" href=\"http:\/\/www.ncbi.nlm.nih.gov\/entrez\/query.fcgi?cmd=Retrieve&amp;db=PubMed&amp;dopt=Abstract&amp;list_uids=20366793\" aria-label=\"PubMed reference 119\" target=\"_blank\">PubMed<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" data-track-action=\"google scholar reference\" data-track-value=\"google scholar reference\" data-track-label=\"link\" data-track-item_id=\"link\" rel=\"nofollow noopener\" aria-label=\"Google Scholar reference 119\" href=\"http:\/\/scholar.google.com\/scholar_lookup?&amp;title=Beating%20the%20Walker%20limit%20with%20massless%20domain%20walls%20in%20cylindrical%20nanowires&amp;journal=Phys.%20Rev.%20Lett.&amp;doi=10.1103%2FPhysRevLett.104.057201&amp;volume=104&amp;publication_year=2010&amp;author=Yan%2CM&amp;author=K%C3%A1kay%2CA&amp;author=Gliga%2CS&amp;author=Hertel%2CR\" target=\"_blank\"><br \/>\n                    Google Scholar<\/a>\u00a0\n                <\/p>\n<\/li>\n<li class=\"c-article-references__item js-c-reading-companion-references-item\" data-counter=\"120.\">\n<p class=\"c-article-references__text\" id=\"ref-CR120\">Fedorov, P. et al. Self-assembly of Co\/Pt stripes with current-induced domain wall motion towards 3D racetrack devices. Nat. Commun. <b>15<\/b>, 2048 (2024).<\/p>\n<p class=\"c-article-references__links u-hide-print\"><a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"10.1038\/s41467-024-46185-z\" data-track-item_id=\"10.1038\/s41467-024-46185-z\" data-track-value=\"article reference\" data-track-action=\"article reference\" href=\"https:\/\/doi.org\/10.1038%2Fs41467-024-46185-z\" aria-label=\"Article reference 120\" data-doi=\"10.1038\/s41467-024-46185-z\" target=\"_blank\">Article<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"link\" data-track-item_id=\"link\" data-track-value=\"cas reference\" data-track-action=\"cas reference\" href=\"https:\/\/www.nature.com\/articles\/cas-redirect\/1:CAS:528:DC%2BB2cXlsFGmu7w%3D\" aria-label=\"CAS reference 120\" target=\"_blank\">CAS<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"link\" data-track-item_id=\"link\" data-track-value=\"pubmed reference\" data-track-action=\"pubmed reference\" href=\"http:\/\/www.ncbi.nlm.nih.gov\/entrez\/query.fcgi?cmd=Retrieve&amp;db=PubMed&amp;dopt=Abstract&amp;list_uids=38448405\" aria-label=\"PubMed reference 120\" target=\"_blank\">PubMed<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"link\" data-track-item_id=\"link\" data-track-value=\"pubmed central reference\" data-track-action=\"pubmed central reference\" href=\"http:\/\/www.ncbi.nlm.nih.gov\/pmc\/articles\/PMC10918081\" aria-label=\"PubMed Central reference 120\" target=\"_blank\">PubMed Central<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" data-track-action=\"google scholar reference\" data-track-value=\"google scholar reference\" data-track-label=\"link\" data-track-item_id=\"link\" rel=\"nofollow noopener\" aria-label=\"Google Scholar reference 120\" href=\"http:\/\/scholar.google.com\/scholar_lookup?&amp;title=Self-assembly%20of%20Co%2FPt%20stripes%20with%20current-induced%20domain%20wall%20motion%20towards%203D%20racetrack%20devices&amp;journal=Nat.%20Commun.&amp;doi=10.1038%2Fs41467-024-46185-z&amp;volume=15&amp;publication_year=2024&amp;author=Fedorov%2CP\" target=\"_blank\"><br \/>\n                    Google Scholar<\/a>\u00a0\n                <\/p>\n<\/li>\n<li class=\"c-article-references__item js-c-reading-companion-references-item\" data-counter=\"121.\">\n<p class=\"c-article-references__text\" id=\"ref-CR121\">Karnaushenko, D. et al. Self-assembled on-chip-integrated giant magneto-impedance sensorics. Adv. Mater. <b>27<\/b>, 6582\u20136589 (2015).<\/p>\n<p class=\"c-article-references__links u-hide-print\"><a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"10.1002\/adma.201503127\" data-track-item_id=\"10.1002\/adma.201503127\" data-track-value=\"article reference\" data-track-action=\"article reference\" href=\"https:\/\/doi.org\/10.1002%2Fadma.201503127\" aria-label=\"Article reference 121\" data-doi=\"10.1002\/adma.201503127\" target=\"_blank\">Article<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"link\" data-track-item_id=\"link\" data-track-value=\"cas reference\" data-track-action=\"cas reference\" href=\"https:\/\/www.nature.com\/articles\/cas-redirect\/1:CAS:528:DC%2BC2MXhsFGksrrI\" aria-label=\"CAS reference 121\" target=\"_blank\">CAS<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"link\" data-track-item_id=\"link\" data-track-value=\"pubmed reference\" data-track-action=\"pubmed reference\" href=\"http:\/\/www.ncbi.nlm.nih.gov\/entrez\/query.fcgi?cmd=Retrieve&amp;db=PubMed&amp;dopt=Abstract&amp;list_uids=26398863\" aria-label=\"PubMed reference 121\" target=\"_blank\">PubMed<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" data-track-action=\"google scholar reference\" data-track-value=\"google scholar reference\" data-track-label=\"link\" data-track-item_id=\"link\" rel=\"nofollow noopener\" aria-label=\"Google Scholar reference 121\" href=\"http:\/\/scholar.google.com\/scholar_lookup?&amp;title=Self-assembled%20on-chip-integrated%20giant%20magneto-impedance%20sensorics&amp;journal=Adv.%20Mater.&amp;doi=10.1002%2Fadma.201503127&amp;volume=27&amp;pages=6582-6589&amp;publication_year=2015&amp;author=Karnaushenko%2CD\" target=\"_blank\"><br \/>\n                    Google Scholar<\/a>\u00a0\n                <\/p>\n<\/li>\n<li class=\"c-article-references__item js-c-reading-companion-references-item\" data-counter=\"122.\">\n<p class=\"c-article-references__text\" id=\"ref-CR122\">Meng, F. et al. Non-planar geometrical effects on the magnetoelectrical signal in a three-dimensional nanomagnetic circuit. ACS Nano <b>15<\/b>, 6765\u20136773 (2021).<\/p>\n<p class=\"c-article-references__links u-hide-print\"><a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"10.1021\/acsnano.0c10272\" data-track-item_id=\"10.1021\/acsnano.0c10272\" data-track-value=\"article reference\" data-track-action=\"article reference\" href=\"https:\/\/doi.org\/10.1021%2Facsnano.0c10272\" aria-label=\"Article reference 122\" data-doi=\"10.1021\/acsnano.0c10272\" target=\"_blank\">Article<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"link\" data-track-item_id=\"link\" data-track-value=\"cas reference\" data-track-action=\"cas reference\" href=\"https:\/\/www.nature.com\/articles\/cas-redirect\/1:CAS:528:DC%2BB3MXosFGjs78%3D\" aria-label=\"CAS reference 122\" target=\"_blank\">CAS<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"link\" data-track-item_id=\"link\" data-track-value=\"pubmed reference\" data-track-action=\"pubmed reference\" href=\"http:\/\/www.ncbi.nlm.nih.gov\/entrez\/query.fcgi?cmd=Retrieve&amp;db=PubMed&amp;dopt=Abstract&amp;list_uids=33848131\" aria-label=\"PubMed reference 122\" target=\"_blank\">PubMed<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"link\" data-track-item_id=\"link\" data-track-value=\"pubmed central reference\" data-track-action=\"pubmed central reference\" href=\"http:\/\/www.ncbi.nlm.nih.gov\/pmc\/articles\/PMC8155340\" aria-label=\"PubMed Central reference 122\" target=\"_blank\">PubMed Central<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" data-track-action=\"google scholar reference\" data-track-value=\"google scholar reference\" data-track-label=\"link\" data-track-item_id=\"link\" rel=\"nofollow noopener\" aria-label=\"Google Scholar reference 122\" href=\"http:\/\/scholar.google.com\/scholar_lookup?&amp;title=Non-planar%20geometrical%20effects%20on%20the%20magnetoelectrical%20signal%20in%20a%20three-dimensional%20nanomagnetic%20circuit&amp;journal=ACS%20Nano&amp;doi=10.1021%2Facsnano.0c10272&amp;volume=15&amp;pages=6765-6773&amp;publication_year=2021&amp;author=Meng%2CF\" target=\"_blank\"><br \/>\n                    Google Scholar<\/a>\u00a0\n                <\/p>\n<\/li>\n<li class=\"c-article-references__item js-c-reading-companion-references-item\" data-counter=\"123.\">\n<p class=\"c-article-references__text\" id=\"ref-CR123\">Ha, M. et al. Reconfigurable magnetic origami actuators with on-board sensing for guided assembly. Adv. Mater. <b>33<\/b>, 2008751 (2021).<\/p>\n<p class=\"c-article-references__links u-hide-print\"><a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"10.1002\/adma.202008751\" data-track-item_id=\"10.1002\/adma.202008751\" data-track-value=\"article reference\" data-track-action=\"article reference\" href=\"https:\/\/doi.org\/10.1002%2Fadma.202008751\" aria-label=\"Article reference 123\" data-doi=\"10.1002\/adma.202008751\" target=\"_blank\">Article<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"link\" data-track-item_id=\"link\" data-track-value=\"cas reference\" data-track-action=\"cas reference\" href=\"https:\/\/www.nature.com\/articles\/cas-redirect\/1:CAS:528:DC%2BB3MXhtFGmtL3I\" aria-label=\"CAS reference 123\" target=\"_blank\">CAS<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"link\" data-track-item_id=\"link\" data-track-value=\"pubmed reference\" data-track-action=\"pubmed reference\" href=\"http:\/\/www.ncbi.nlm.nih.gov\/entrez\/query.fcgi?cmd=Retrieve&amp;db=PubMed&amp;dopt=Abstract&amp;list_uids=33969551\" aria-label=\"PubMed reference 123\" target=\"_blank\">PubMed<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"link\" data-track-item_id=\"link\" data-track-value=\"pubmed central reference\" data-track-action=\"pubmed central reference\" href=\"http:\/\/www.ncbi.nlm.nih.gov\/pmc\/articles\/PMC11481057\" aria-label=\"PubMed Central reference 123\" target=\"_blank\">PubMed Central<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" data-track-action=\"google scholar reference\" data-track-value=\"google scholar reference\" data-track-label=\"link\" data-track-item_id=\"link\" rel=\"nofollow noopener\" aria-label=\"Google Scholar reference 123\" href=\"http:\/\/scholar.google.com\/scholar_lookup?&amp;title=Reconfigurable%20magnetic%20origami%20actuators%20with%20on-board%20sensing%20for%20guided%20assembly&amp;journal=Adv.%20Mater.&amp;doi=10.1002%2Fadma.202008751&amp;volume=33&amp;publication_year=2021&amp;author=Ha%2CM\" target=\"_blank\"><br \/>\n                    Google Scholar<\/a>\u00a0\n                <\/p>\n<\/li>\n<li class=\"c-article-references__item js-c-reading-companion-references-item\" data-counter=\"124.\">\n<p class=\"c-article-references__text\" id=\"ref-CR124\">Becker, C. et al. A new dimension for magnetosensitive e-skins: active matrix integrated micro-origami sensor arrays. Nat. Commun. <b>13<\/b>, 2121 (2022).<\/p>\n<p class=\"c-article-references__links u-hide-print\"><a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"10.1038\/s41467-022-29802-7\" data-track-item_id=\"10.1038\/s41467-022-29802-7\" data-track-value=\"article reference\" data-track-action=\"article reference\" href=\"https:\/\/doi.org\/10.1038%2Fs41467-022-29802-7\" aria-label=\"Article reference 124\" data-doi=\"10.1038\/s41467-022-29802-7\" target=\"_blank\">Article<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"link\" data-track-item_id=\"link\" data-track-value=\"cas reference\" data-track-action=\"cas reference\" href=\"https:\/\/www.nature.com\/articles\/cas-redirect\/1:CAS:528:DC%2BB38XhtVGht7zP\" aria-label=\"CAS reference 124\" target=\"_blank\">CAS<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"link\" data-track-item_id=\"link\" data-track-value=\"pubmed reference\" data-track-action=\"pubmed reference\" href=\"http:\/\/www.ncbi.nlm.nih.gov\/entrez\/query.fcgi?cmd=Retrieve&amp;db=PubMed&amp;dopt=Abstract&amp;list_uids=35440595\" aria-label=\"PubMed reference 124\" target=\"_blank\">PubMed<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"link\" data-track-item_id=\"link\" data-track-value=\"pubmed central reference\" data-track-action=\"pubmed central reference\" href=\"http:\/\/www.ncbi.nlm.nih.gov\/pmc\/articles\/PMC9018910\" aria-label=\"PubMed Central reference 124\" target=\"_blank\">PubMed Central<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" data-track-action=\"google scholar reference\" data-track-value=\"google scholar reference\" data-track-label=\"link\" data-track-item_id=\"link\" rel=\"nofollow noopener\" aria-label=\"Google Scholar reference 124\" href=\"http:\/\/scholar.google.com\/scholar_lookup?&amp;title=A%20new%20dimension%20for%20magnetosensitive%20e-skins%3A%20active%20matrix%20integrated%20micro-origami%20sensor%20arrays&amp;journal=Nat.%20Commun.&amp;doi=10.1038%2Fs41467-022-29802-7&amp;volume=13&amp;publication_year=2022&amp;author=Becker%2CC\" target=\"_blank\"><br \/>\n                    Google Scholar<\/a>\u00a0\n                <\/p>\n<\/li>\n<li class=\"c-article-references__item js-c-reading-companion-references-item\" data-counter=\"125.\">\n<p class=\"c-article-references__text\" id=\"ref-CR125\">Nam, J.-M., Thaxton, C. S. &amp; Mirkin, C. A. Nanoparticle-based bio-bar codes for the ultrasensitive detection of proteins. Science <b>301<\/b>, 1884\u20131886 (2003).<\/p>\n<p class=\"c-article-references__links u-hide-print\"><a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"10.1126\/science.1088755\" data-track-item_id=\"10.1126\/science.1088755\" data-track-value=\"article reference\" data-track-action=\"article reference\" href=\"https:\/\/doi.org\/10.1126%2Fscience.1088755\" aria-label=\"Article reference 125\" data-doi=\"10.1126\/science.1088755\" target=\"_blank\">Article<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"link\" data-track-item_id=\"link\" data-track-value=\"cas reference\" data-track-action=\"cas reference\" href=\"https:\/\/www.nature.com\/articles\/cas-redirect\/1:CAS:528:DC%2BD3sXnsFSgtro%3D\" aria-label=\"CAS reference 125\" target=\"_blank\">CAS<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"link\" data-track-item_id=\"link\" data-track-value=\"pubmed reference\" data-track-action=\"pubmed reference\" href=\"http:\/\/www.ncbi.nlm.nih.gov\/entrez\/query.fcgi?cmd=Retrieve&amp;db=PubMed&amp;dopt=Abstract&amp;list_uids=14512622\" aria-label=\"PubMed reference 125\" target=\"_blank\">PubMed<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" data-track-action=\"google scholar reference\" data-track-value=\"google scholar reference\" data-track-label=\"link\" data-track-item_id=\"link\" rel=\"nofollow noopener\" aria-label=\"Google Scholar reference 125\" href=\"http:\/\/scholar.google.com\/scholar_lookup?&amp;title=Nanoparticle-based%20bio-bar%20codes%20for%20the%20ultrasensitive%20detection%20of%20proteins&amp;journal=Science&amp;doi=10.1126%2Fscience.1088755&amp;volume=301&amp;pages=1884-1886&amp;publication_year=2003&amp;author=Nam%2CJ-M&amp;author=Thaxton%2CCS&amp;author=Mirkin%2CCA\" target=\"_blank\"><br \/>\n                    Google Scholar<\/a>\u00a0\n                <\/p>\n<\/li>\n<li class=\"c-article-references__item js-c-reading-companion-references-item\" data-counter=\"126.\">\n<p class=\"c-article-references__text\" id=\"ref-CR126\">Medina-S\u00e1nchez, M. &amp; Schmidt, O. G. Medical microbots need better imaging and control. Nature <b>545<\/b>, 406\u2013408 (2017).<\/p>\n<p class=\"c-article-references__links u-hide-print\"><a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"10.1038\/545406a\" data-track-item_id=\"10.1038\/545406a\" data-track-value=\"article reference\" data-track-action=\"article reference\" href=\"https:\/\/doi.org\/10.1038%2F545406a\" aria-label=\"Article reference 126\" data-doi=\"10.1038\/545406a\" target=\"_blank\">Article<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"link\" data-track-item_id=\"link\" data-track-value=\"pubmed reference\" data-track-action=\"pubmed reference\" href=\"http:\/\/www.ncbi.nlm.nih.gov\/entrez\/query.fcgi?cmd=Retrieve&amp;db=PubMed&amp;dopt=Abstract&amp;list_uids=28541344\" aria-label=\"PubMed reference 126\" target=\"_blank\">PubMed<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" data-track-action=\"google scholar reference\" data-track-value=\"google scholar reference\" data-track-label=\"link\" data-track-item_id=\"link\" rel=\"nofollow noopener\" aria-label=\"Google Scholar reference 126\" href=\"http:\/\/scholar.google.com\/scholar_lookup?&amp;title=Medical%20microbots%20need%20better%20imaging%20and%20control&amp;journal=Nature&amp;doi=10.1038%2F545406a&amp;volume=545&amp;pages=406-408&amp;publication_year=2017&amp;author=Medina-S%C3%A1nchez%2CM&amp;author=Schmidt%2COG\" target=\"_blank\"><br \/>\n                    Google Scholar<\/a>\u00a0\n                <\/p>\n<\/li>\n<li class=\"c-article-references__item js-c-reading-companion-references-item\" data-counter=\"127.\">\n<p class=\"c-article-references__text\" id=\"ref-CR127\">Xu, H. et al. Sperm-hybrid micromotor for targeted drug delivery. ACS Nano <b>12<\/b>, 327\u2013337 (2018).<\/p>\n<p class=\"c-article-references__links u-hide-print\"><a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"10.1021\/acsnano.7b06398\" data-track-item_id=\"10.1021\/acsnano.7b06398\" data-track-value=\"article reference\" data-track-action=\"article reference\" href=\"https:\/\/doi.org\/10.1021%2Facsnano.7b06398\" aria-label=\"Article reference 127\" data-doi=\"10.1021\/acsnano.7b06398\" target=\"_blank\">Article<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"link\" data-track-item_id=\"link\" data-track-value=\"cas reference\" data-track-action=\"cas reference\" href=\"https:\/\/www.nature.com\/articles\/cas-redirect\/1:CAS:528:DC%2BC2sXhvFWhsLrJ\" aria-label=\"CAS reference 127\" target=\"_blank\">CAS<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"link\" data-track-item_id=\"link\" data-track-value=\"pubmed reference\" data-track-action=\"pubmed reference\" href=\"http:\/\/www.ncbi.nlm.nih.gov\/entrez\/query.fcgi?cmd=Retrieve&amp;db=PubMed&amp;dopt=Abstract&amp;list_uids=29202221\" aria-label=\"PubMed reference 127\" target=\"_blank\">PubMed<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" data-track-action=\"google scholar reference\" data-track-value=\"google scholar reference\" data-track-label=\"link\" data-track-item_id=\"link\" rel=\"nofollow noopener\" aria-label=\"Google Scholar reference 127\" href=\"http:\/\/scholar.google.com\/scholar_lookup?&amp;title=Sperm-hybrid%20micromotor%20for%20targeted%20drug%20delivery&amp;journal=ACS%20Nano&amp;doi=10.1021%2Facsnano.7b06398&amp;volume=12&amp;pages=327-337&amp;publication_year=2018&amp;author=Xu%2CH\" target=\"_blank\"><br \/>\n                    Google Scholar<\/a>\u00a0\n                <\/p>\n<\/li>\n<li class=\"c-article-references__item js-c-reading-companion-references-item\" data-counter=\"128.\">\n<p class=\"c-article-references__text\" id=\"ref-CR128\">Guduru, R., Liang, P., Yousef, M., Horstmyer, J. &amp; Khizroev, S. Mapping the brain\u2019s electric fields with magnetoelectric nanoparticles. Bioelectron. Med. <b>4<\/b>, 10 (2018).<\/p>\n<p class=\"c-article-references__links u-hide-print\"><a data-track=\"click_references\" rel=\"noopener nofollow\" data-track-label=\"10.1186\/s42234-018-0012-9\" data-track-item_id=\"10.1186\/s42234-018-0012-9\" data-track-value=\"article reference\" data-track-action=\"article reference\" href=\"https:\/\/link.springer.com\/doi\/10.1186\/s42234-018-0012-9\" aria-label=\"Article reference 128\" data-doi=\"10.1186\/s42234-018-0012-9\" target=\"_blank\">Article<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"link\" data-track-item_id=\"link\" data-track-value=\"cas reference\" data-track-action=\"cas reference\" href=\"https:\/\/www.nature.com\/articles\/cas-redirect\/1:STN:280:DC%2BB383psVWlsg%3D%3D\" aria-label=\"CAS reference 128\" target=\"_blank\">CAS<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"link\" data-track-item_id=\"link\" data-track-value=\"pubmed reference\" data-track-action=\"pubmed reference\" href=\"http:\/\/www.ncbi.nlm.nih.gov\/entrez\/query.fcgi?cmd=Retrieve&amp;db=PubMed&amp;dopt=Abstract&amp;list_uids=32232086\" aria-label=\"PubMed reference 128\" target=\"_blank\">PubMed<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"link\" data-track-item_id=\"link\" data-track-value=\"pubmed central reference\" data-track-action=\"pubmed central reference\" href=\"http:\/\/www.ncbi.nlm.nih.gov\/pmc\/articles\/PMC7098259\" aria-label=\"PubMed Central reference 128\" target=\"_blank\">PubMed Central<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" data-track-action=\"google scholar reference\" data-track-value=\"google scholar reference\" data-track-label=\"link\" data-track-item_id=\"link\" rel=\"nofollow noopener\" aria-label=\"Google Scholar reference 128\" href=\"http:\/\/scholar.google.com\/scholar_lookup?&amp;title=Mapping%20the%20brain%E2%80%99s%20electric%20fields%20with%20magnetoelectric%20nanoparticles&amp;journal=Bioelectron.%20Med.&amp;doi=10.1186%2Fs42234-018-0012-9&amp;volume=4&amp;publication_year=2018&amp;author=Guduru%2CR&amp;author=Liang%2CP&amp;author=Yousef%2CM&amp;author=Horstmyer%2CJ&amp;author=Khizroev%2CS\" target=\"_blank\"><br \/>\n                    Google Scholar<\/a>\u00a0\n                <\/p>\n<\/li>\n<li class=\"c-article-references__item js-c-reading-companion-references-item\" data-counter=\"129.\">\n<p class=\"c-article-references__text\" id=\"ref-CR129\">Xu, H., Medina-S\u00e1nchez, M. &amp; Schmidt, O. G. Magnetic micromotors for multiple motile sperm cells capture, transport, and enzymatic release. Angew. Chem. Int. Ed. <b>59<\/b>, 15029\u201315037 (2020).<\/p>\n<p class=\"c-article-references__links u-hide-print\"><a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"10.1002\/anie.202005657\" data-track-item_id=\"10.1002\/anie.202005657\" data-track-value=\"article reference\" data-track-action=\"article reference\" href=\"https:\/\/doi.org\/10.1002%2Fanie.202005657\" aria-label=\"Article reference 129\" data-doi=\"10.1002\/anie.202005657\" target=\"_blank\">Article<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"link\" data-track-item_id=\"link\" data-track-value=\"cas reference\" data-track-action=\"cas reference\" href=\"https:\/\/www.nature.com\/articles\/cas-redirect\/1:CAS:528:DC%2BB3cXhtFens77M\" aria-label=\"CAS reference 129\" target=\"_blank\">CAS<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" data-track-action=\"google scholar reference\" data-track-value=\"google scholar reference\" data-track-label=\"link\" data-track-item_id=\"link\" rel=\"nofollow noopener\" aria-label=\"Google Scholar reference 129\" href=\"http:\/\/scholar.google.com\/scholar_lookup?&amp;title=Magnetic%20micromotors%20for%20multiple%20motile%20sperm%20cells%20capture%2C%20transport%2C%20and%20enzymatic%20release&amp;journal=Angew.%20Chem.%20Int.%20Ed.&amp;doi=10.1002%2Fanie.202005657&amp;volume=59&amp;pages=15029-15037&amp;publication_year=2020&amp;author=Xu%2CH&amp;author=Medina-S%C3%A1nchez%2CM&amp;author=Schmidt%2COG\" target=\"_blank\"><br \/>\n                    Google Scholar<\/a>\u00a0\n                <\/p>\n<\/li>\n<li class=\"c-article-references__item js-c-reading-companion-references-item\" data-counter=\"130.\">\n<p class=\"c-article-references__text\" id=\"ref-CR130\">Landers, F. C. et al. Clinically ready magnetic microrobots for targeted therapies. Science <b>390<\/b>, 710\u2013715 (2025).<\/p>\n<p class=\"c-article-references__links u-hide-print\"><a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"10.1126\/science.adx1708\" data-track-item_id=\"10.1126\/science.adx1708\" data-track-value=\"article reference\" data-track-action=\"article reference\" href=\"https:\/\/doi.org\/10.1126%2Fscience.adx1708\" aria-label=\"Article reference 130\" data-doi=\"10.1126\/science.adx1708\" target=\"_blank\">Article<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"link\" data-track-item_id=\"link\" data-track-value=\"cas reference\" data-track-action=\"cas reference\" href=\"https:\/\/www.nature.com\/articles\/cas-redirect\/1:CAS:528:DC%2BB2MXivVCitbfE\" aria-label=\"CAS reference 130\" target=\"_blank\">CAS<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"link\" data-track-item_id=\"link\" data-track-value=\"pubmed reference\" data-track-action=\"pubmed reference\" href=\"http:\/\/www.ncbi.nlm.nih.gov\/entrez\/query.fcgi?cmd=Retrieve&amp;db=PubMed&amp;dopt=Abstract&amp;list_uids=41231973\" aria-label=\"PubMed reference 130\" target=\"_blank\">PubMed<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" data-track-action=\"google scholar reference\" data-track-value=\"google scholar reference\" data-track-label=\"link\" data-track-item_id=\"link\" rel=\"nofollow noopener\" aria-label=\"Google Scholar reference 130\" href=\"http:\/\/scholar.google.com\/scholar_lookup?&amp;title=Clinically%20ready%20magnetic%20microrobots%20for%20targeted%20therapies&amp;journal=Science&amp;doi=10.1126%2Fscience.adx1708&amp;volume=390&amp;pages=710-715&amp;publication_year=2025&amp;author=Landers%2CFC\" target=\"_blank\"><br \/>\n                    Google Scholar<\/a>\u00a0\n                <\/p>\n<\/li>\n<li class=\"c-article-references__item js-c-reading-companion-references-item\" data-counter=\"131.\">\n<p class=\"c-article-references__text\" id=\"ref-CR131\">Choi, S.-H. et al. In vivo magnetogenetics for cell-type-specific targeting and modulation of brain circuits. Nat. Nanotechnol. <b>19<\/b>, 1333\u20131343 (2024).<\/p>\n<p class=\"c-article-references__links u-hide-print\"><a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"10.1038\/s41565-024-01694-2\" data-track-item_id=\"10.1038\/s41565-024-01694-2\" data-track-value=\"article reference\" data-track-action=\"article reference\" href=\"https:\/\/doi.org\/10.1038%2Fs41565-024-01694-2\" aria-label=\"Article reference 131\" data-doi=\"10.1038\/s41565-024-01694-2\" target=\"_blank\">Article<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"link\" data-track-item_id=\"link\" data-track-value=\"cas reference\" data-track-action=\"cas reference\" href=\"https:\/\/www.nature.com\/articles\/cas-redirect\/1:CAS:528:DC%2BB2cXhsV2gs7fL\" aria-label=\"CAS reference 131\" target=\"_blank\">CAS<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"link\" data-track-item_id=\"link\" data-track-value=\"pubmed reference\" data-track-action=\"pubmed reference\" href=\"http:\/\/www.ncbi.nlm.nih.gov\/entrez\/query.fcgi?cmd=Retrieve&amp;db=PubMed&amp;dopt=Abstract&amp;list_uids=38956320\" aria-label=\"PubMed reference 131\" target=\"_blank\">PubMed<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" data-track-action=\"google scholar reference\" data-track-value=\"google scholar reference\" data-track-label=\"link\" data-track-item_id=\"link\" rel=\"nofollow noopener\" aria-label=\"Google Scholar reference 131\" href=\"http:\/\/scholar.google.com\/scholar_lookup?&amp;title=In%20vivo%20magnetogenetics%20for%20cell-type-specific%20targeting%20and%20modulation%20of%20brain%20circuits&amp;journal=Nat.%20Nanotechnol.&amp;doi=10.1038%2Fs41565-024-01694-2&amp;volume=19&amp;pages=1333-1343&amp;publication_year=2024&amp;author=Choi%2CS-H\" target=\"_blank\"><br \/>\n                    Google Scholar<\/a>\u00a0\n                <\/p>\n<\/li>\n<li class=\"c-article-references__item js-c-reading-companion-references-item\" data-counter=\"132.\">\n<p class=\"c-article-references__text\" id=\"ref-CR132\">Andreev, A. F. &amp; Marchenko, V. I. Symmetry and the macroscopic dynamics of magnetic materials. Sov. Phys. Usp. <b>23<\/b>, 21\u201334 (1980).<\/p>\n<p class=\"c-article-references__links u-hide-print\"><a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"10.1070\/PU1980v023n01ABEH004859\" data-track-item_id=\"10.1070\/PU1980v023n01ABEH004859\" data-track-value=\"article reference\" data-track-action=\"article reference\" href=\"https:\/\/doi.org\/10.1070%2FPU1980v023n01ABEH004859\" aria-label=\"Article reference 132\" data-doi=\"10.1070\/PU1980v023n01ABEH004859\" target=\"_blank\">Article<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" data-track-action=\"google scholar reference\" data-track-value=\"google scholar reference\" data-track-label=\"link\" data-track-item_id=\"link\" rel=\"nofollow noopener\" aria-label=\"Google Scholar reference 132\" href=\"http:\/\/scholar.google.com\/scholar_lookup?&amp;title=Symmetry%20and%20the%20macroscopic%20dynamics%20of%20magnetic%20materials&amp;journal=Sov.%20Phys.%20Usp.&amp;doi=10.1070%2FPU1980v023n01ABEH004859&amp;volume=23&amp;pages=21-34&amp;publication_year=1980&amp;author=Andreev%2CAF&amp;author=Marchenko%2CVI\" target=\"_blank\"><br \/>\n                    Google Scholar<\/a>\u00a0\n                <\/p>\n<\/li>\n<li class=\"c-article-references__item js-c-reading-companion-references-item\" data-counter=\"133.\">\n<p class=\"c-article-references__text\" id=\"ref-CR133\">K\u00f6rner, M. et al. Interlayer exchange coupling of Fe\/Cr\/Fe thin films on rippled substrates. Phys. Rev. B <b>80<\/b>, 214401 (2009).<\/p>\n<p class=\"c-article-references__links u-hide-print\"><a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"10.1103\/PhysRevB.80.214401\" data-track-item_id=\"10.1103\/PhysRevB.80.214401\" data-track-value=\"article reference\" data-track-action=\"article reference\" href=\"https:\/\/doi.org\/10.1103%2FPhysRevB.80.214401\" aria-label=\"Article reference 133\" data-doi=\"10.1103\/PhysRevB.80.214401\" target=\"_blank\">Article<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" data-track-action=\"google scholar reference\" data-track-value=\"google scholar reference\" data-track-label=\"link\" data-track-item_id=\"link\" rel=\"nofollow noopener\" aria-label=\"Google Scholar reference 133\" href=\"http:\/\/scholar.google.com\/scholar_lookup?&amp;title=Interlayer%20exchange%20coupling%20of%20Fe%2FCr%2FFe%20thin%20films%20on%20rippled%20substrates&amp;journal=Phys.%20Rev.%20B&amp;doi=10.1103%2FPhysRevB.80.214401&amp;volume=80&amp;publication_year=2009&amp;author=K%C3%B6rner%2CM\" target=\"_blank\"><br \/>\n                    Google Scholar<\/a>\u00a0\n                <\/p>\n<\/li>\n<li class=\"c-article-references__item js-c-reading-companion-references-item\" data-counter=\"134.\">\n<p class=\"c-article-references__text\" id=\"ref-CR134\">K\u00f6rner, M. et al. Quantitative imaging of the magnetic configuration of modulated nanostructures by electron holography. Small <b>10<\/b>, 5161\u20135169 (2014).<\/p>\n<p class=\"c-article-references__links u-hide-print\"><a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"10.1002\/smll.201400377\" data-track-item_id=\"10.1002\/smll.201400377\" data-track-value=\"article reference\" data-track-action=\"article reference\" href=\"https:\/\/doi.org\/10.1002%2Fsmll.201400377\" aria-label=\"Article reference 134\" data-doi=\"10.1002\/smll.201400377\" target=\"_blank\">Article<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"link\" data-track-item_id=\"link\" data-track-value=\"pubmed reference\" data-track-action=\"pubmed reference\" href=\"http:\/\/www.ncbi.nlm.nih.gov\/entrez\/query.fcgi?cmd=Retrieve&amp;db=PubMed&amp;dopt=Abstract&amp;list_uids=25066641\" aria-label=\"PubMed reference 134\" target=\"_blank\">PubMed<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" data-track-action=\"google scholar reference\" data-track-value=\"google scholar reference\" data-track-label=\"link\" data-track-item_id=\"link\" rel=\"nofollow noopener\" aria-label=\"Google Scholar reference 134\" href=\"http:\/\/scholar.google.com\/scholar_lookup?&amp;title=Quantitative%20imaging%20of%20the%20magnetic%20configuration%20of%20modulated%20nanostructures%20by%20electron%20holography&amp;journal=Small&amp;doi=10.1002%2Fsmll.201400377&amp;volume=10&amp;pages=5161-5169&amp;publication_year=2014&amp;author=K%C3%B6rner%2CM\" target=\"_blank\"><br \/>\n                    Google Scholar<\/a>\u00a0\n                <\/p>\n<\/li>\n<li class=\"c-article-references__item js-c-reading-companion-references-item\" data-counter=\"135.\">\n<p class=\"c-article-references__text\" id=\"ref-CR135\">Tretiakov, O. A., Morini, M., Vasylkevych, S. &amp; Slastikov, V. Engineering curvature-induced anisotropy in thin ferromagnetic films. Phys. Rev. Lett. <b>119<\/b>, 077203 (2017).<\/p>\n<p class=\"c-article-references__links u-hide-print\"><a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"10.1103\/PhysRevLett.119.077203\" data-track-item_id=\"10.1103\/PhysRevLett.119.077203\" data-track-value=\"article reference\" data-track-action=\"article reference\" href=\"https:\/\/doi.org\/10.1103%2FPhysRevLett.119.077203\" aria-label=\"Article reference 135\" data-doi=\"10.1103\/PhysRevLett.119.077203\" target=\"_blank\">Article<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"link\" data-track-item_id=\"link\" data-track-value=\"pubmed reference\" data-track-action=\"pubmed reference\" href=\"http:\/\/www.ncbi.nlm.nih.gov\/entrez\/query.fcgi?cmd=Retrieve&amp;db=PubMed&amp;dopt=Abstract&amp;list_uids=28949682\" aria-label=\"PubMed reference 135\" target=\"_blank\">PubMed<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" data-track-action=\"google scholar reference\" data-track-value=\"google scholar reference\" data-track-label=\"link\" data-track-item_id=\"link\" rel=\"nofollow noopener\" aria-label=\"Google Scholar reference 135\" href=\"http:\/\/scholar.google.com\/scholar_lookup?&amp;title=Engineering%20curvature-induced%20anisotropy%20in%20thin%20ferromagnetic%20films&amp;journal=Phys.%20Rev.%20Lett.&amp;doi=10.1103%2FPhysRevLett.119.077203&amp;volume=119&amp;publication_year=2017&amp;author=Tretiakov%2COA&amp;author=Morini%2CM&amp;author=Vasylkevych%2CS&amp;author=Slastikov%2CV\" target=\"_blank\"><br \/>\n                    Google Scholar<\/a>\u00a0\n                <\/p>\n<\/li>\n<li class=\"c-article-references__item js-c-reading-companion-references-item\" data-counter=\"136.\">\n<p class=\"c-article-references__text\" id=\"ref-CR136\">Llandro, J. et al. Visualizing magnetic structure in 3D nanoscale Ni\u2013Fe gyroid networks. Nano Lett. <b>20<\/b>, 3642\u20133650 (2020).<\/p>\n<p class=\"c-article-references__links u-hide-print\"><a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"10.1021\/acs.nanolett.0c00578\" data-track-item_id=\"10.1021\/acs.nanolett.0c00578\" data-track-value=\"article reference\" data-track-action=\"article reference\" href=\"https:\/\/doi.org\/10.1021%2Facs.nanolett.0c00578\" aria-label=\"Article reference 136\" data-doi=\"10.1021\/acs.nanolett.0c00578\" target=\"_blank\">Article<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"link\" data-track-item_id=\"link\" data-track-value=\"cas reference\" data-track-action=\"cas reference\" href=\"https:\/\/www.nature.com\/articles\/cas-redirect\/1:CAS:528:DC%2BB3cXmtl2ltbs%3D\" aria-label=\"CAS reference 136\" target=\"_blank\">CAS<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"link\" data-track-item_id=\"link\" data-track-value=\"pubmed reference\" data-track-action=\"pubmed reference\" href=\"http:\/\/www.ncbi.nlm.nih.gov\/entrez\/query.fcgi?cmd=Retrieve&amp;db=PubMed&amp;dopt=Abstract&amp;list_uids=32250635\" aria-label=\"PubMed reference 136\" target=\"_blank\">PubMed<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" data-track-action=\"google scholar reference\" data-track-value=\"google scholar reference\" data-track-label=\"link\" data-track-item_id=\"link\" rel=\"nofollow noopener\" aria-label=\"Google Scholar reference 136\" href=\"http:\/\/scholar.google.com\/scholar_lookup?&amp;title=Visualizing%20magnetic%20structure%20in%203D%20nanoscale%20Ni%E2%80%93Fe%20gyroid%20networks&amp;journal=Nano%20Lett.&amp;doi=10.1021%2Facs.nanolett.0c00578&amp;volume=20&amp;pages=3642-3650&amp;publication_year=2020&amp;author=Llandro%2CJ\" target=\"_blank\"><br \/>\n                    Google Scholar<\/a>\u00a0\n                <\/p>\n<\/li>\n<li class=\"c-article-references__item js-c-reading-companion-references-item\" data-counter=\"137.\">\n<p class=\"c-article-references__text\" id=\"ref-CR137\">Ladak, S., Fern\u00e1ndez-Pacheco, A. &amp; Fischer, P. Science and technology of 3D magnetic nanostructures. APL Mater. <b>10<\/b>, 120401 (2022).<\/p>\n<p class=\"c-article-references__links u-hide-print\"><a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"10.1063\/5.0136801\" data-track-item_id=\"10.1063\/5.0136801\" data-track-value=\"article reference\" data-track-action=\"article reference\" href=\"https:\/\/doi.org\/10.1063%2F5.0136801\" aria-label=\"Article reference 137\" data-doi=\"10.1063\/5.0136801\" target=\"_blank\">Article<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"link\" data-track-item_id=\"link\" data-track-value=\"cas reference\" data-track-action=\"cas reference\" href=\"https:\/\/www.nature.com\/articles\/cas-redirect\/1:CAS:528:DC%2BB38XjtFOms7nN\" aria-label=\"CAS reference 137\" target=\"_blank\">CAS<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" data-track-action=\"google scholar reference\" data-track-value=\"google scholar reference\" data-track-label=\"link\" data-track-item_id=\"link\" rel=\"nofollow noopener\" aria-label=\"Google Scholar reference 137\" href=\"http:\/\/scholar.google.com\/scholar_lookup?&amp;title=Science%20and%20technology%20of%203D%20magnetic%20nanostructures&amp;journal=APL%20Mater.&amp;doi=10.1063%2F5.0136801&amp;volume=10&amp;publication_year=2022&amp;author=Ladak%2CS&amp;author=Fern%C3%A1ndez-Pacheco%2CA&amp;author=Fischer%2CP\" target=\"_blank\"><br \/>\n                    Google Scholar<\/a>\u00a0\n                <\/p>\n<\/li>\n<li class=\"c-article-references__item js-c-reading-companion-references-item\" data-counter=\"138.\">\n<p class=\"c-article-references__text\" id=\"ref-CR138\">Koshikawa, A. S. et al. Magnetic order in nanoscale gyroid networks. Phys. Rev. B <b>108<\/b>, 024414 (2023).<\/p>\n<p class=\"c-article-references__links u-hide-print\"><a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"10.1103\/PhysRevB.108.024414\" data-track-item_id=\"10.1103\/PhysRevB.108.024414\" data-track-value=\"article reference\" data-track-action=\"article reference\" href=\"https:\/\/doi.org\/10.1103%2FPhysRevB.108.024414\" aria-label=\"Article reference 138\" data-doi=\"10.1103\/PhysRevB.108.024414\" target=\"_blank\">Article<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"link\" data-track-item_id=\"link\" data-track-value=\"cas reference\" data-track-action=\"cas reference\" href=\"https:\/\/www.nature.com\/articles\/cas-redirect\/1:CAS:528:DC%2BB3sXhs1Gmt73L\" aria-label=\"CAS reference 138\" target=\"_blank\">CAS<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" data-track-action=\"google scholar reference\" data-track-value=\"google scholar reference\" data-track-label=\"link\" data-track-item_id=\"link\" rel=\"nofollow noopener\" aria-label=\"Google Scholar reference 138\" href=\"http:\/\/scholar.google.com\/scholar_lookup?&amp;title=Magnetic%20order%20in%20nanoscale%20gyroid%20networks&amp;journal=Phys.%20Rev.%20B&amp;doi=10.1103%2FPhysRevB.108.024414&amp;volume=108&amp;publication_year=2023&amp;author=Koshikawa%2CAS\" target=\"_blank\"><br \/>\n                    Google Scholar<\/a>\u00a0\n                <\/p>\n<\/li>\n<li class=\"c-article-references__item js-c-reading-companion-references-item\" data-counter=\"139.\">\n<p class=\"c-article-references__text\" id=\"ref-CR139\">Heyderman, L. J. et al. Mesoscopic magnetic systems: from fundamental properties to devices. Appl. Phys. Lett. <b>119<\/b>, 080401 (2021).<\/p>\n<p class=\"c-article-references__links u-hide-print\"><a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"10.1063\/5.0064083\" data-track-item_id=\"10.1063\/5.0064083\" data-track-value=\"article reference\" data-track-action=\"article reference\" href=\"https:\/\/doi.org\/10.1063%2F5.0064083\" aria-label=\"Article reference 139\" data-doi=\"10.1063\/5.0064083\" target=\"_blank\">Article<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"link\" data-track-item_id=\"link\" data-track-value=\"cas reference\" data-track-action=\"cas reference\" href=\"https:\/\/www.nature.com\/articles\/cas-redirect\/1:CAS:528:DC%2BB3MXhvV2rsb%2FL\" aria-label=\"CAS reference 139\" target=\"_blank\">CAS<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" data-track-action=\"google scholar reference\" data-track-value=\"google scholar reference\" data-track-label=\"link\" data-track-item_id=\"link\" rel=\"nofollow noopener\" aria-label=\"Google Scholar reference 139\" href=\"http:\/\/scholar.google.com\/scholar_lookup?&amp;title=Mesoscopic%20magnetic%20systems%3A%20from%20fundamental%20properties%20to%20devices&amp;journal=Appl.%20Phys.%20Lett.&amp;doi=10.1063%2F5.0064083&amp;volume=119&amp;publication_year=2021&amp;author=Heyderman%2CLJ\" target=\"_blank\"><br \/>\n                    Google Scholar<\/a>\u00a0\n                <\/p>\n<\/li>\n<li class=\"c-article-references__item js-c-reading-companion-references-item\" data-counter=\"140.\">\n<p class=\"c-article-references__text\" id=\"ref-CR140\">Berchialla, L., Macauley, G. M. &amp; Heyderman, L. J. Focus on three-dimensional artificial spin ice. Appl. Phys. Lett. <b>125<\/b>, 220501 (2024).<\/p>\n<p class=\"c-article-references__links u-hide-print\"><a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"10.1063\/5.0229120\" data-track-item_id=\"10.1063\/5.0229120\" data-track-value=\"article reference\" data-track-action=\"article reference\" href=\"https:\/\/doi.org\/10.1063%2F5.0229120\" aria-label=\"Article reference 140\" data-doi=\"10.1063\/5.0229120\" target=\"_blank\">Article<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"link\" data-track-item_id=\"link\" data-track-value=\"cas reference\" data-track-action=\"cas reference\" href=\"https:\/\/www.nature.com\/articles\/cas-redirect\/1:CAS:528:DC%2BB2cXis1aqurzP\" aria-label=\"CAS reference 140\" target=\"_blank\">CAS<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" data-track-action=\"google scholar reference\" data-track-value=\"google scholar reference\" data-track-label=\"link\" data-track-item_id=\"link\" rel=\"nofollow noopener\" aria-label=\"Google Scholar reference 140\" href=\"http:\/\/scholar.google.com\/scholar_lookup?&amp;title=Focus%20on%20three-dimensional%20artificial%20spin%20ice&amp;journal=Appl.%20Phys.%20Lett.&amp;doi=10.1063%2F5.0229120&amp;volume=125&amp;publication_year=2024&amp;author=Berchialla%2CL&amp;author=Macauley%2CGM&amp;author=Heyderman%2CLJ\" target=\"_blank\"><br \/>\n                    Google Scholar<\/a>\u00a0\n                <\/p>\n<\/li>\n<li class=\"c-article-references__item js-c-reading-companion-references-item\" data-counter=\"141.\">\n<p class=\"c-article-references__text\" id=\"ref-CR141\">Yershov, K. V., Gomonay, O., Sinova, J., van den Brink, J. &amp; Kravchuk, V. P. Curvature-induced magnetization of altermagnetic films. Phys. Rev. Lett. <b>134<\/b>, 116701 (2025).<\/p>\n<p class=\"c-article-references__links u-hide-print\"><a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"10.1103\/PhysRevLett.134.116701\" data-track-item_id=\"10.1103\/PhysRevLett.134.116701\" data-track-value=\"article reference\" data-track-action=\"article reference\" href=\"https:\/\/doi.org\/10.1103%2FPhysRevLett.134.116701\" aria-label=\"Article reference 141\" data-doi=\"10.1103\/PhysRevLett.134.116701\" target=\"_blank\">Article<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"link\" data-track-item_id=\"link\" data-track-value=\"cas reference\" data-track-action=\"cas reference\" href=\"https:\/\/www.nature.com\/articles\/cas-redirect\/1:CAS:528:DC%2BB2MXns1ynurw%3D\" aria-label=\"CAS reference 141\" target=\"_blank\">CAS<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"link\" data-track-item_id=\"link\" data-track-value=\"pubmed reference\" data-track-action=\"pubmed reference\" href=\"http:\/\/www.ncbi.nlm.nih.gov\/entrez\/query.fcgi?cmd=Retrieve&amp;db=PubMed&amp;dopt=Abstract&amp;list_uids=40192350\" aria-label=\"PubMed reference 141\" target=\"_blank\">PubMed<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" data-track-action=\"google scholar reference\" data-track-value=\"google scholar reference\" data-track-label=\"link\" data-track-item_id=\"link\" rel=\"nofollow noopener\" aria-label=\"Google Scholar reference 141\" href=\"http:\/\/scholar.google.com\/scholar_lookup?&amp;title=Curvature-induced%20magnetization%20of%20altermagnetic%20films&amp;journal=Phys.%20Rev.%20Lett.&amp;doi=10.1103%2FPhysRevLett.134.116701&amp;volume=134&amp;publication_year=2025&amp;author=Yershov%2CKV&amp;author=Gomonay%2CO&amp;author=Sinova%2CJ&amp;author=Brink%2CJ&amp;author=Kravchuk%2CVP\" target=\"_blank\"><br \/>\n                    Google Scholar<\/a>\u00a0\n                <\/p>\n<\/li>\n<li class=\"c-article-references__item js-c-reading-companion-references-item\" data-counter=\"142.\">\n<p class=\"c-article-references__text\" id=\"ref-CR142\">Venderbos, J. W. F., Gentile, P. &amp; Ortix, C. Topological spin multipolization and linear magnetoelectric coupling in two-dimensional antiferromagnets. Preprint at <a href=\"https:\/\/arxiv.org\/abs\/2512.05862\" data-track=\"click_references\" data-track-action=\"external reference\" data-track-value=\"external reference\" data-track-label=\"https:\/\/arxiv.org\/abs\/2512.05862\" rel=\"nofollow noopener\" target=\"_blank\">https:\/\/arxiv.org\/abs\/2512.05862<\/a> (2025).<\/p>\n<\/li>\n<li class=\"c-article-references__item js-c-reading-companion-references-item\" data-counter=\"143.\">\n<p class=\"c-article-references__text\" id=\"ref-CR143\">Manipatruni, S. et al. Scalable energy-efficient magnetoelectric spin\u2013orbit logic. Nature <b>565<\/b>, 35\u201342 (2019).<\/p>\n<p class=\"c-article-references__links u-hide-print\"><a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"10.1038\/s41586-018-0770-2\" data-track-item_id=\"10.1038\/s41586-018-0770-2\" data-track-value=\"article reference\" data-track-action=\"article reference\" href=\"https:\/\/doi.org\/10.1038%2Fs41586-018-0770-2\" aria-label=\"Article reference 143\" data-doi=\"10.1038\/s41586-018-0770-2\" target=\"_blank\">Article<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"link\" data-track-item_id=\"link\" data-track-value=\"cas reference\" data-track-action=\"cas reference\" href=\"https:\/\/www.nature.com\/articles\/cas-redirect\/1:CAS:528:DC%2BC1cXitl2iu7vJ\" aria-label=\"CAS reference 143\" target=\"_blank\">CAS<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"link\" data-track-item_id=\"link\" data-track-value=\"pubmed reference\" data-track-action=\"pubmed reference\" href=\"http:\/\/www.ncbi.nlm.nih.gov\/entrez\/query.fcgi?cmd=Retrieve&amp;db=PubMed&amp;dopt=Abstract&amp;list_uids=30510160\" aria-label=\"PubMed reference 143\" target=\"_blank\">PubMed<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" data-track-action=\"google scholar reference\" data-track-value=\"google scholar reference\" data-track-label=\"link\" data-track-item_id=\"link\" rel=\"nofollow noopener\" aria-label=\"Google Scholar reference 143\" href=\"http:\/\/scholar.google.com\/scholar_lookup?&amp;title=Scalable%20energy-efficient%20magnetoelectric%20spin%E2%80%93orbit%20logic&amp;journal=Nature&amp;doi=10.1038%2Fs41586-018-0770-2&amp;volume=565&amp;pages=35-42&amp;publication_year=2019&amp;author=Manipatruni%2CS\" target=\"_blank\"><br \/>\n                    Google Scholar<\/a>\u00a0\n                <\/p>\n<\/li>\n<li class=\"c-article-references__item js-c-reading-companion-references-item\" data-counter=\"144.\">\n<p class=\"c-article-references__text\" id=\"ref-CR144\">Salamone, T., Svendsen, M. B. M., Amundsen, M. &amp; Jacobsen, S. Curvature-induced long-range supercurrents in diffusive superconductor\u2013ferromagnet\u2013superconductor Josephson junctions with a dynamic 0\u2013\u03c0 transition. Phys. Rev. B <b>104<\/b>, L060505 (2021).<\/p>\n<p class=\"c-article-references__links u-hide-print\"><a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"10.1103\/PhysRevB.104.L060505\" data-track-item_id=\"10.1103\/PhysRevB.104.L060505\" data-track-value=\"article reference\" data-track-action=\"article reference\" href=\"https:\/\/doi.org\/10.1103%2FPhysRevB.104.L060505\" aria-label=\"Article reference 144\" data-doi=\"10.1103\/PhysRevB.104.L060505\" target=\"_blank\">Article<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"link\" data-track-item_id=\"link\" data-track-value=\"cas reference\" data-track-action=\"cas reference\" href=\"https:\/\/www.nature.com\/articles\/cas-redirect\/1:CAS:528:DC%2BB3MXitVers73E\" aria-label=\"CAS reference 144\" target=\"_blank\">CAS<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" data-track-action=\"google scholar reference\" data-track-value=\"google scholar reference\" data-track-label=\"link\" data-track-item_id=\"link\" rel=\"nofollow noopener\" aria-label=\"Google Scholar reference 144\" href=\"http:\/\/scholar.google.com\/scholar_lookup?&amp;title=Curvature-induced%20long-range%20supercurrents%20in%20diffusive%20superconductor%E2%80%93ferromagnet%E2%80%93superconductor%20Josephson%20junctions%20with%20a%20dynamic%200%E2%80%93%CF%80%20transition&amp;journal=Phys.%20Rev.%20B&amp;doi=10.1103%2FPhysRevB.104.L060505&amp;volume=104&amp;publication_year=2021&amp;author=Salamone%2CT&amp;author=Svendsen%2CMBM&amp;author=Amundsen%2CM&amp;author=Jacobsen%2CS\" target=\"_blank\"><br \/>\n                    Google Scholar<\/a>\u00a0\n                <\/p>\n<\/li>\n<li class=\"c-article-references__item js-c-reading-companion-references-item\" data-counter=\"145.\">\n<p class=\"c-article-references__text\" id=\"ref-CR145\">Salamone, T., Hugdal, H. G., Amundsen, M. &amp; Jacobsen, S. H. Curvature control of the superconducting proximity effect in diffusive ferromagnetic nanowires. Phys. Rev. B <b>105<\/b>, 134511 (2022).<\/p>\n<p class=\"c-article-references__links u-hide-print\"><a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"10.1103\/PhysRevB.105.134511\" data-track-item_id=\"10.1103\/PhysRevB.105.134511\" data-track-value=\"article reference\" data-track-action=\"article reference\" href=\"https:\/\/doi.org\/10.1103%2FPhysRevB.105.134511\" aria-label=\"Article reference 145\" data-doi=\"10.1103\/PhysRevB.105.134511\" target=\"_blank\">Article<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"link\" data-track-item_id=\"link\" data-track-value=\"cas reference\" data-track-action=\"cas reference\" href=\"https:\/\/www.nature.com\/articles\/cas-redirect\/1:CAS:528:DC%2BB38Xhtlags7vP\" aria-label=\"CAS reference 145\" target=\"_blank\">CAS<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" data-track-action=\"google scholar reference\" data-track-value=\"google scholar reference\" data-track-label=\"link\" data-track-item_id=\"link\" rel=\"nofollow noopener\" aria-label=\"Google Scholar reference 145\" href=\"http:\/\/scholar.google.com\/scholar_lookup?&amp;title=Curvature%20control%20of%20the%20superconducting%20proximity%20effect%20in%20diffusive%20ferromagnetic%20nanowires&amp;journal=Phys.%20Rev.%20B&amp;doi=10.1103%2FPhysRevB.105.134511&amp;volume=105&amp;publication_year=2022&amp;author=Salamone%2CT&amp;author=Hugdal%2CHG&amp;author=Amundsen%2CM&amp;author=Jacobsen%2CSH\" target=\"_blank\"><br \/>\n                    Google Scholar<\/a>\u00a0\n                <\/p>\n<\/li>\n<li class=\"c-article-references__item js-c-reading-companion-references-item\" data-counter=\"146.\">\n<p class=\"c-article-references__text\" id=\"ref-CR146\">Wang, B., Kostarelos, K., Nelson, B. J. &amp; Zhang, L. Trends in micro-\/nanorobotics: materials development, actuation, localization, and system integration for biomedical applications. Adv. Mater. <b>33<\/b>, 2002047 (2021).<\/p>\n<p class=\"c-article-references__links u-hide-print\"><a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"10.1002\/adma.202002047\" data-track-item_id=\"10.1002\/adma.202002047\" data-track-value=\"article reference\" data-track-action=\"article reference\" href=\"https:\/\/doi.org\/10.1002%2Fadma.202002047\" aria-label=\"Article reference 146\" data-doi=\"10.1002\/adma.202002047\" target=\"_blank\">Article<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"link\" data-track-item_id=\"link\" data-track-value=\"cas reference\" data-track-action=\"cas reference\" href=\"https:\/\/www.nature.com\/articles\/cas-redirect\/1:CAS:528:DC%2BB3cXisVyit77O\" aria-label=\"CAS reference 146\" target=\"_blank\">CAS<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" data-track-action=\"google scholar reference\" data-track-value=\"google scholar reference\" data-track-label=\"link\" data-track-item_id=\"link\" rel=\"nofollow noopener\" aria-label=\"Google Scholar reference 146\" href=\"http:\/\/scholar.google.com\/scholar_lookup?&amp;title=Trends%20in%20micro-%2Fnanorobotics%3A%20materials%20development%2C%20actuation%2C%20localization%2C%20and%20system%20integration%20for%20biomedical%20applications&amp;journal=Adv.%20Mater.&amp;doi=10.1002%2Fadma.202002047&amp;volume=33&amp;publication_year=2021&amp;author=Wang%2CB&amp;author=Kostarelos%2CK&amp;author=Nelson%2CBJ&amp;author=Zhang%2CL\" target=\"_blank\"><br \/>\n                    Google Scholar<\/a>\u00a0\n                <\/p>\n<\/li>\n<li class=\"c-article-references__item js-c-reading-companion-references-item\" data-counter=\"147.\">\n<p class=\"c-article-references__text\" id=\"ref-CR147\">Berm\u00fadez, G. S. C. &amp; Makarov, D. Magnetosensitive e-skins for interactive devices. Adv. Funct. Mater. <b>31<\/b>, 2007788 (2021).<\/p>\n<p class=\"c-article-references__links u-hide-print\"><a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"10.1002\/adfm.202007788\" data-track-item_id=\"10.1002\/adfm.202007788\" data-track-value=\"article reference\" data-track-action=\"article reference\" href=\"https:\/\/doi.org\/10.1002%2Fadfm.202007788\" aria-label=\"Article reference 147\" data-doi=\"10.1002\/adfm.202007788\" target=\"_blank\">Article<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" data-track-action=\"google scholar reference\" data-track-value=\"google scholar reference\" data-track-label=\"link\" data-track-item_id=\"link\" rel=\"nofollow noopener\" aria-label=\"Google Scholar reference 147\" href=\"http:\/\/scholar.google.com\/scholar_lookup?&amp;title=Magnetosensitive%20e-skins%20for%20interactive%20devices&amp;journal=Adv.%20Funct.%20Mater.&amp;doi=10.1002%2Fadfm.202007788&amp;volume=31&amp;publication_year=2021&amp;author=Berm%C3%BAdez%2CGSC&amp;author=Makarov%2CD\" target=\"_blank\"><br \/>\n                    Google Scholar<\/a>\u00a0\n                <\/p>\n<\/li>\n<li class=\"c-article-references__item js-c-reading-companion-references-item\" data-counter=\"148.\">\n<p class=\"c-article-references__text\" id=\"ref-CR148\">Yershov, K. V., Kravchuk, V. P., Sheka, D. D. &amp; Gaididei, Y. Curvature-induced domain wall pinning. Phys. Rev. B <b>92<\/b>, 104412 (2015).<\/p>\n<p class=\"c-article-references__links u-hide-print\"><a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"10.1103\/PhysRevB.92.104412\" data-track-item_id=\"10.1103\/PhysRevB.92.104412\" data-track-value=\"article reference\" data-track-action=\"article reference\" href=\"https:\/\/doi.org\/10.1103%2FPhysRevB.92.104412\" aria-label=\"Article reference 148\" data-doi=\"10.1103\/PhysRevB.92.104412\" target=\"_blank\">Article<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" data-track-action=\"google scholar reference\" data-track-value=\"google scholar reference\" data-track-label=\"link\" data-track-item_id=\"link\" rel=\"nofollow noopener\" aria-label=\"Google Scholar reference 148\" href=\"http:\/\/scholar.google.com\/scholar_lookup?&amp;title=Curvature-induced%20domain%20wall%20pinning&amp;journal=Phys.%20Rev.%20B&amp;doi=10.1103%2FPhysRevB.92.104412&amp;volume=92&amp;publication_year=2015&amp;author=Yershov%2CKV&amp;author=Kravchuk%2CVP&amp;author=Sheka%2CDD&amp;author=Gaididei%2CY\" target=\"_blank\"><br \/>\n                    Google Scholar<\/a>\u00a0\n                <\/p>\n<\/li>\n<li class=\"c-article-references__item js-c-reading-companion-references-item\" data-counter=\"149.\">\n<p class=\"c-article-references__text\" id=\"ref-CR149\">Th\u00f6le, F., Fechner, M. &amp; Spaldin, N. A. First-principles calculation of the bulk magnetoelectric monopole density: Berry phase and Wannier function approaches. Phys. Rev. B <b>93<\/b>, 195167 (2016).<\/p>\n<p class=\"c-article-references__links u-hide-print\"><a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"10.1103\/PhysRevB.93.195167\" data-track-item_id=\"10.1103\/PhysRevB.93.195167\" data-track-value=\"article reference\" data-track-action=\"article reference\" href=\"https:\/\/doi.org\/10.1103%2FPhysRevB.93.195167\" aria-label=\"Article reference 149\" data-doi=\"10.1103\/PhysRevB.93.195167\" target=\"_blank\">Article<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" data-track-action=\"google scholar reference\" data-track-value=\"google scholar reference\" data-track-label=\"link\" data-track-item_id=\"link\" rel=\"nofollow noopener\" aria-label=\"Google Scholar reference 149\" href=\"http:\/\/scholar.google.com\/scholar_lookup?&amp;title=First-principles%20calculation%20of%20the%20bulk%20magnetoelectric%20monopole%20density%3A%20Berry%20phase%20and%20Wannier%20function%20approaches&amp;journal=Phys.%20Rev.%20B&amp;doi=10.1103%2FPhysRevB.93.195167&amp;volume=93&amp;publication_year=2016&amp;author=Th%C3%B6le%2CF&amp;author=Fechner%2CM&amp;author=Spaldin%2CNA\" target=\"_blank\"><br \/>\n                    Google Scholar<\/a>\u00a0\n                <\/p>\n<\/li>\n<li class=\"c-article-references__item js-c-reading-companion-references-item\" data-counter=\"150.\">\n<p class=\"c-article-references__text\" id=\"ref-CR150\">Gaididei, Y., Kravchuk, V. P. &amp; Sheka, D. D. Curvature effects in thin magnetic shells. Phys. Rev. Lett. <b>112<\/b>, 257203 (2014).<\/p>\n<p class=\"c-article-references__links u-hide-print\"><a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"10.1103\/PhysRevLett.112.257203\" data-track-item_id=\"10.1103\/PhysRevLett.112.257203\" data-track-value=\"article reference\" data-track-action=\"article reference\" href=\"https:\/\/doi.org\/10.1103%2FPhysRevLett.112.257203\" aria-label=\"Article reference 150\" data-doi=\"10.1103\/PhysRevLett.112.257203\" target=\"_blank\">Article<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"link\" data-track-item_id=\"link\" data-track-value=\"pubmed reference\" data-track-action=\"pubmed reference\" href=\"http:\/\/www.ncbi.nlm.nih.gov\/entrez\/query.fcgi?cmd=Retrieve&amp;db=PubMed&amp;dopt=Abstract&amp;list_uids=25014827\" aria-label=\"PubMed reference 150\" target=\"_blank\">PubMed<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" data-track-action=\"google scholar reference\" data-track-value=\"google scholar reference\" data-track-label=\"link\" data-track-item_id=\"link\" rel=\"nofollow noopener\" aria-label=\"Google Scholar reference 150\" href=\"http:\/\/scholar.google.com\/scholar_lookup?&amp;title=Curvature%20effects%20in%20thin%20magnetic%20shells&amp;journal=Phys.%20Rev.%20Lett.&amp;doi=10.1103%2FPhysRevLett.112.257203&amp;volume=112&amp;publication_year=2014&amp;author=Gaididei%2CY&amp;author=Kravchuk%2CVP&amp;author=Sheka%2CDD\" target=\"_blank\"><br \/>\n                    Google Scholar<\/a>\u00a0\n                <\/p>\n<\/li>\n<li class=\"c-article-references__item js-c-reading-companion-references-item\" data-counter=\"151.\">\n<p class=\"c-article-references__text\" id=\"ref-CR151\">Melzer, M. et al. Stretchable magnetoelectronics. Nano Lett. <b>11<\/b>, 2522\u20132526 (2011).<\/p>\n<p class=\"c-article-references__links u-hide-print\"><a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"10.1021\/nl201108b\" data-track-item_id=\"10.1021\/nl201108b\" data-track-value=\"article reference\" data-track-action=\"article reference\" href=\"https:\/\/doi.org\/10.1021%2Fnl201108b\" aria-label=\"Article reference 151\" data-doi=\"10.1021\/nl201108b\" target=\"_blank\">Article<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"link\" data-track-item_id=\"link\" data-track-value=\"cas reference\" data-track-action=\"cas reference\" href=\"https:\/\/www.nature.com\/articles\/cas-redirect\/1:CAS:528:DC%2BC3MXlvFCmtLk%3D\" aria-label=\"CAS reference 151\" target=\"_blank\">CAS<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"link\" data-track-item_id=\"link\" data-track-value=\"pubmed reference\" data-track-action=\"pubmed reference\" href=\"http:\/\/www.ncbi.nlm.nih.gov\/entrez\/query.fcgi?cmd=Retrieve&amp;db=PubMed&amp;dopt=Abstract&amp;list_uids=21557570\" aria-label=\"PubMed reference 151\" target=\"_blank\">PubMed<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" data-track-action=\"google scholar reference\" data-track-value=\"google scholar reference\" data-track-label=\"link\" data-track-item_id=\"link\" rel=\"nofollow noopener\" aria-label=\"Google Scholar reference 151\" href=\"http:\/\/scholar.google.com\/scholar_lookup?&amp;title=Stretchable%20magnetoelectronics&amp;journal=Nano%20Lett.&amp;doi=10.1021%2Fnl201108b&amp;volume=11&amp;pages=2522-2526&amp;publication_year=2011&amp;author=Melzer%2CM\" target=\"_blank\"><br \/>\n                    Google Scholar<\/a>\u00a0\n                <\/p>\n<\/li>\n<li class=\"c-article-references__item js-c-reading-companion-references-item\" data-counter=\"152.\">\n<p class=\"c-article-references__text\" id=\"ref-CR152\">Karnaushenko, D., Makarov, D., Yan, C., Streubel, R. &amp; Schmidt, O. G. Printable giant magnetoresistive devices. Adv. Mater. <b>24<\/b>, 4518\u20134522 (2012).<\/p>\n<p class=\"c-article-references__links u-hide-print\"><a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"10.1002\/adma.201201190\" data-track-item_id=\"10.1002\/adma.201201190\" data-track-value=\"article reference\" data-track-action=\"article reference\" href=\"https:\/\/doi.org\/10.1002%2Fadma.201201190\" aria-label=\"Article reference 152\" data-doi=\"10.1002\/adma.201201190\" target=\"_blank\">Article<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"link\" data-track-item_id=\"link\" data-track-value=\"cas reference\" data-track-action=\"cas reference\" href=\"https:\/\/www.nature.com\/articles\/cas-redirect\/1:CAS:528:DC%2BC38Xps1yjurk%3D\" aria-label=\"CAS reference 152\" target=\"_blank\">CAS<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"link\" data-track-item_id=\"link\" data-track-value=\"pubmed reference\" data-track-action=\"pubmed reference\" href=\"http:\/\/www.ncbi.nlm.nih.gov\/entrez\/query.fcgi?cmd=Retrieve&amp;db=PubMed&amp;dopt=Abstract&amp;list_uids=22761017\" aria-label=\"PubMed reference 152\" target=\"_blank\">PubMed<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" data-track-action=\"google scholar reference\" data-track-value=\"google scholar reference\" data-track-label=\"link\" data-track-item_id=\"link\" rel=\"nofollow noopener\" aria-label=\"Google Scholar reference 152\" href=\"http:\/\/scholar.google.com\/scholar_lookup?&amp;title=Printable%20giant%20magnetoresistive%20devices&amp;journal=Adv.%20Mater.&amp;doi=10.1002%2Fadma.201201190&amp;volume=24&amp;pages=4518-4522&amp;publication_year=2012&amp;author=Karnaushenko%2CD&amp;author=Makarov%2CD&amp;author=Yan%2CC&amp;author=Streubel%2CR&amp;author=Schmidt%2COG\" target=\"_blank\"><br \/>\n                    Google Scholar<\/a>\u00a0\n                <\/p>\n<\/li>\n<li class=\"c-article-references__item js-c-reading-companion-references-item\" data-counter=\"153.\">\n<p class=\"c-article-references__text\" id=\"ref-CR153\">Makarov, D., Melzer, M., Karnaushenko, D. &amp; Schmidt, O. G. Shapeable magnetoelectronics. Appl. Phys. Rev. <b>3<\/b>, 011101 (2016).<\/p>\n<p class=\"c-article-references__links u-hide-print\"><a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"10.1063\/1.4938497\" data-track-item_id=\"10.1063\/1.4938497\" data-track-value=\"article reference\" data-track-action=\"article reference\" href=\"https:\/\/doi.org\/10.1063%2F1.4938497\" aria-label=\"Article reference 153\" data-doi=\"10.1063\/1.4938497\" target=\"_blank\">Article<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" data-track-action=\"google scholar reference\" data-track-value=\"google scholar reference\" data-track-label=\"link\" data-track-item_id=\"link\" rel=\"nofollow noopener\" aria-label=\"Google Scholar reference 153\" href=\"http:\/\/scholar.google.com\/scholar_lookup?&amp;title=Shapeable%20magnetoelectronics&amp;journal=Appl.%20Phys.%20Rev.&amp;doi=10.1063%2F1.4938497&amp;volume=3&amp;publication_year=2016&amp;author=Makarov%2CD&amp;author=Melzer%2CM&amp;author=Karnaushenko%2CD&amp;author=Schmidt%2COG\" target=\"_blank\"><br \/>\n                    Google Scholar<\/a>\u00a0\n                <\/p>\n<\/li>\n<li class=\"c-article-references__item js-c-reading-companion-references-item\" data-counter=\"154.\">\n<p class=\"c-article-references__text\" id=\"ref-CR154\">Pylypovskyi, O. V. et al. Curvilinear one-dimensional antiferromagnets. Nano Lett. <b>20<\/b>, 8157\u20138162 (2020).<\/p>\n<p class=\"c-article-references__links u-hide-print\"><a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"10.1021\/acs.nanolett.0c03246\" data-track-item_id=\"10.1021\/acs.nanolett.0c03246\" data-track-value=\"article reference\" data-track-action=\"article reference\" href=\"https:\/\/doi.org\/10.1021%2Facs.nanolett.0c03246\" aria-label=\"Article reference 154\" data-doi=\"10.1021\/acs.nanolett.0c03246\" target=\"_blank\">Article<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"link\" data-track-item_id=\"link\" data-track-value=\"cas reference\" data-track-action=\"cas reference\" href=\"https:\/\/www.nature.com\/articles\/cas-redirect\/1:CAS:528:DC%2BB3cXhvFartrbF\" aria-label=\"CAS reference 154\" target=\"_blank\">CAS<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"link\" data-track-item_id=\"link\" data-track-value=\"pubmed reference\" data-track-action=\"pubmed reference\" href=\"http:\/\/www.ncbi.nlm.nih.gov\/entrez\/query.fcgi?cmd=Retrieve&amp;db=PubMed&amp;dopt=Abstract&amp;list_uids=32986440\" aria-label=\"PubMed reference 154\" target=\"_blank\">PubMed<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" data-track-action=\"google scholar reference\" data-track-value=\"google scholar reference\" data-track-label=\"link\" data-track-item_id=\"link\" rel=\"nofollow noopener\" aria-label=\"Google Scholar reference 154\" href=\"http:\/\/scholar.google.com\/scholar_lookup?&amp;title=Curvilinear%20one-dimensional%20antiferromagnets&amp;journal=Nano%20Lett.&amp;doi=10.1021%2Facs.nanolett.0c03246&amp;volume=20&amp;pages=8157-8162&amp;publication_year=2020&amp;author=Pylypovskyi%2COV\" target=\"_blank\"><br \/>\n                    Google Scholar<\/a>\u00a0\n                <\/p>\n<\/li>\n<li class=\"c-article-references__item js-c-reading-companion-references-item\" data-counter=\"155.\">\n<p class=\"c-article-references__text\" id=\"ref-CR155\">Villain-Guillot, S., Dandoloff, R. &amp; Saxena, A. Heisenberg spins on an infinite cylinder: a geometrical effect of anisotropy. Phys. Lett. A <b>188<\/b>, 343\u2013346 (1994).<\/p>\n<p class=\"c-article-references__links u-hide-print\"><a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"10.1016\/0375-9601(94)90473-1\" data-track-item_id=\"10.1016\/0375-9601(94)90473-1\" data-track-value=\"article reference\" data-track-action=\"article reference\" href=\"https:\/\/doi.org\/10.1016%2F0375-9601%2894%2990473-1\" aria-label=\"Article reference 155\" data-doi=\"10.1016\/0375-9601(94)90473-1\" target=\"_blank\">Article<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" data-track-action=\"google scholar reference\" data-track-value=\"google scholar reference\" data-track-label=\"link\" data-track-item_id=\"link\" rel=\"nofollow noopener\" aria-label=\"Google Scholar reference 155\" href=\"http:\/\/scholar.google.com\/scholar_lookup?&amp;title=Heisenberg%20spins%20on%20an%20infinite%20cylinder%3A%20a%20geometrical%20effect%20of%20anisotropy&amp;journal=Phys.%20Lett.%20A&amp;doi=10.1016%2F0375-9601%2894%2990473-1&amp;volume=188&amp;pages=343-346&amp;publication_year=1994&amp;author=Villain-Guillot%2CS&amp;author=Dandoloff%2CR&amp;author=Saxena%2CA\" target=\"_blank\"><br \/>\n                    Google Scholar<\/a>\u00a0\n                <\/p>\n<\/li>\n<li class=\"c-article-references__item js-c-reading-companion-references-item\" data-counter=\"156.\">\n<p class=\"c-article-references__text\" id=\"ref-CR156\">Saxena, A. &amp; Dandoloff, R. Stabilization of half-skyrmions: Heisenberg spins on a non-simply connected manifold. Phys. Rev. B <b>66<\/b>, 104414 (2002).<\/p>\n<p class=\"c-article-references__links u-hide-print\"><a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"10.1103\/PhysRevB.66.104414\" data-track-item_id=\"10.1103\/PhysRevB.66.104414\" data-track-value=\"article reference\" data-track-action=\"article reference\" href=\"https:\/\/doi.org\/10.1103%2FPhysRevB.66.104414\" aria-label=\"Article reference 156\" data-doi=\"10.1103\/PhysRevB.66.104414\" target=\"_blank\">Article<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" data-track-action=\"google scholar reference\" data-track-value=\"google scholar reference\" data-track-label=\"link\" data-track-item_id=\"link\" rel=\"nofollow noopener\" aria-label=\"Google Scholar reference 156\" href=\"http:\/\/scholar.google.com\/scholar_lookup?&amp;title=Stabilization%20of%20half-skyrmions%3A%20Heisenberg%20spins%20on%20a%20non-simply%20connected%20manifold&amp;journal=Phys.%20Rev.%20B&amp;doi=10.1103%2FPhysRevB.66.104414&amp;volume=66&amp;publication_year=2002&amp;author=Saxena%2CA&amp;author=Dandoloff%2CR\" target=\"_blank\"><br \/>\n                    Google Scholar<\/a>\u00a0\n                <\/p>\n<\/li>\n<li class=\"c-article-references__item js-c-reading-companion-references-item\" data-counter=\"157.\">\n<p class=\"c-article-references__text\" id=\"ref-CR157\">Landeros, P. et al. Reversal modes in magnetic nanotubes. Appl. Phys. Lett. <b>90<\/b>, 102501 (2007).<\/p>\n<p class=\"c-article-references__links u-hide-print\"><a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"10.1063\/1.2437655\" data-track-item_id=\"10.1063\/1.2437655\" data-track-value=\"article reference\" data-track-action=\"article reference\" href=\"https:\/\/doi.org\/10.1063%2F1.2437655\" aria-label=\"Article reference 157\" data-doi=\"10.1063\/1.2437655\" target=\"_blank\">Article<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" data-track-action=\"google scholar reference\" data-track-value=\"google scholar reference\" data-track-label=\"link\" data-track-item_id=\"link\" rel=\"nofollow noopener\" aria-label=\"Google Scholar reference 157\" href=\"http:\/\/scholar.google.com\/scholar_lookup?&amp;title=Reversal%20modes%20in%20magnetic%20nanotubes&amp;journal=Appl.%20Phys.%20Lett.&amp;doi=10.1063%2F1.2437655&amp;volume=90&amp;publication_year=2007&amp;author=Landeros%2CP\" target=\"_blank\"><br \/>\n                    Google Scholar<\/a>\u00a0\n                <\/p>\n<\/li>\n<li class=\"c-article-references__item js-c-reading-companion-references-item\" data-counter=\"158.\">\n<p class=\"c-article-references__text\" id=\"ref-CR158\">Usov, N., Zhukov, A. &amp; Gonzalez, J. Domain walls and magnetization reversal process in soft magnetic nanowires and nanotubes. J. Magn. Magn. Mater. <b>316<\/b>, 255\u2013261 (2007).<\/p>\n<p class=\"c-article-references__links u-hide-print\"><a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"10.1016\/j.jmmm.2007.02.138\" data-track-item_id=\"10.1016\/j.jmmm.2007.02.138\" data-track-value=\"article reference\" data-track-action=\"article reference\" href=\"https:\/\/doi.org\/10.1016%2Fj.jmmm.2007.02.138\" aria-label=\"Article reference 158\" data-doi=\"10.1016\/j.jmmm.2007.02.138\" target=\"_blank\">Article<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"link\" data-track-item_id=\"link\" data-track-value=\"cas reference\" data-track-action=\"cas reference\" href=\"https:\/\/www.nature.com\/articles\/cas-redirect\/1:CAS:528:DC%2BD2sXmvVersLw%3D\" aria-label=\"CAS reference 158\" target=\"_blank\">CAS<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" data-track-action=\"google scholar reference\" data-track-value=\"google scholar reference\" data-track-label=\"link\" data-track-item_id=\"link\" rel=\"nofollow noopener\" aria-label=\"Google Scholar reference 158\" href=\"http:\/\/scholar.google.com\/scholar_lookup?&amp;title=Domain%20walls%20and%20magnetization%20reversal%20process%20in%20soft%20magnetic%20nanowires%20and%20nanotubes&amp;journal=J.%20Magn.%20Magn.%20Mater.&amp;doi=10.1016%2Fj.jmmm.2007.02.138&amp;volume=316&amp;pages=255-261&amp;publication_year=2007&amp;author=Usov%2CN&amp;author=Zhukov%2CA&amp;author=Gonzalez%2CJ\" target=\"_blank\"><br \/>\n                    Google Scholar<\/a>\u00a0\n                <\/p>\n<\/li>\n<li class=\"c-article-references__item js-c-reading-companion-references-item\" data-counter=\"159.\">\n<p class=\"c-article-references__text\" id=\"ref-CR159\">Landeros, P. &amp; N\u00fa\u00f1ez, A. S. Domain wall motion on magnetic nanotubes. J. Appl. Phys. <b>108<\/b>, 033917 (2010).<\/p>\n<p class=\"c-article-references__links u-hide-print\"><a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"10.1063\/1.3466747\" data-track-item_id=\"10.1063\/1.3466747\" data-track-value=\"article reference\" data-track-action=\"article reference\" href=\"https:\/\/doi.org\/10.1063%2F1.3466747\" aria-label=\"Article reference 159\" data-doi=\"10.1063\/1.3466747\" target=\"_blank\">Article<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" data-track-action=\"google scholar reference\" data-track-value=\"google scholar reference\" data-track-label=\"link\" data-track-item_id=\"link\" rel=\"nofollow noopener\" aria-label=\"Google Scholar reference 159\" href=\"http:\/\/scholar.google.com\/scholar_lookup?&amp;title=Domain%20wall%20motion%20on%20magnetic%20nanotubes&amp;journal=J.%20Appl.%20Phys.&amp;doi=10.1063%2F1.3466747&amp;volume=108&amp;publication_year=2010&amp;author=Landeros%2CP&amp;author=N%C3%BA%C3%B1ez%2CAS\" target=\"_blank\"><br \/>\n                    Google Scholar<\/a>\u00a0\n                <\/p>\n<\/li>\n<li class=\"c-article-references__item js-c-reading-companion-references-item\" data-counter=\"160.\">\n<p class=\"c-article-references__text\" id=\"ref-CR160\">Hertel, R. Curvature\u2013induced magnetochirality. SPIN <b>3<\/b>, 1340009 (2013).<\/p>\n<p class=\"c-article-references__links u-hide-print\"><a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"10.1142\/S2010324713400092\" data-track-item_id=\"10.1142\/S2010324713400092\" data-track-value=\"article reference\" data-track-action=\"article reference\" href=\"https:\/\/doi.org\/10.1142%2FS2010324713400092\" aria-label=\"Article reference 160\" data-doi=\"10.1142\/S2010324713400092\" target=\"_blank\">Article<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" data-track-action=\"google scholar reference\" data-track-value=\"google scholar reference\" data-track-label=\"link\" data-track-item_id=\"link\" rel=\"nofollow noopener\" aria-label=\"Google Scholar reference 160\" href=\"http:\/\/scholar.google.com\/scholar_lookup?&amp;title=Curvature%E2%80%93induced%20magnetochirality&amp;journal=SPIN&amp;doi=10.1142%2FS2010324713400092&amp;volume=3&amp;publication_year=2013&amp;author=Hertel%2CR\" target=\"_blank\"><br \/>\n                    Google Scholar<\/a>\u00a0\n                <\/p>\n<\/li>\n<li class=\"c-article-references__item js-c-reading-companion-references-item\" data-counter=\"161.\">\n<p class=\"c-article-references__text\" id=\"ref-CR161\">Ot\u00e1lora, J. A., Yan, M., Schultheiss, H., Hertel, R. &amp; K\u00e1kay, A. Curvature-induced asymmetric spin-wave dispersion. Phys. Rev. Lett. <b>117<\/b>, 227203 (2016).<\/p>\n<p class=\"c-article-references__links u-hide-print\"><a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"10.1103\/PhysRevLett.117.227203\" data-track-item_id=\"10.1103\/PhysRevLett.117.227203\" data-track-value=\"article reference\" data-track-action=\"article reference\" href=\"https:\/\/doi.org\/10.1103%2FPhysRevLett.117.227203\" aria-label=\"Article reference 161\" data-doi=\"10.1103\/PhysRevLett.117.227203\" target=\"_blank\">Article<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"link\" data-track-item_id=\"link\" data-track-value=\"pubmed reference\" data-track-action=\"pubmed reference\" href=\"http:\/\/www.ncbi.nlm.nih.gov\/entrez\/query.fcgi?cmd=Retrieve&amp;db=PubMed&amp;dopt=Abstract&amp;list_uids=27925729\" aria-label=\"PubMed reference 161\" target=\"_blank\">PubMed<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" data-track-action=\"google scholar reference\" data-track-value=\"google scholar reference\" data-track-label=\"link\" data-track-item_id=\"link\" rel=\"nofollow noopener\" aria-label=\"Google Scholar reference 161\" href=\"http:\/\/scholar.google.com\/scholar_lookup?&amp;title=Curvature-induced%20asymmetric%20spin-wave%20dispersion&amp;journal=Phys.%20Rev.%20Lett.&amp;doi=10.1103%2FPhysRevLett.117.227203&amp;volume=117&amp;publication_year=2016&amp;author=Ot%C3%A1lora%2CJA&amp;author=Yan%2CM&amp;author=Schultheiss%2CH&amp;author=Hertel%2CR&amp;author=K%C3%A1kay%2CA\" target=\"_blank\"><br \/>\n                    Google Scholar<\/a>\u00a0\n                <\/p>\n<\/li>\n<li class=\"c-article-references__item js-c-reading-companion-references-item\" data-counter=\"162.\">\n<p class=\"c-article-references__text\" id=\"ref-CR162\">Kohn, R. V. &amp; Slastikov, V. V. Another thin-film limit of micromagnetics. Arch. Ration. Mech. Anal. <b>178<\/b>, 227\u2013245 (2005).<\/p>\n<p class=\"c-article-references__links u-hide-print\"><a data-track=\"click_references\" rel=\"noopener nofollow\" data-track-label=\"10.1007\/s00205-005-0372-7\" data-track-item_id=\"10.1007\/s00205-005-0372-7\" data-track-value=\"article reference\" data-track-action=\"article reference\" href=\"https:\/\/link.springer.com\/doi\/10.1007\/s00205-005-0372-7\" aria-label=\"Article reference 162\" data-doi=\"10.1007\/s00205-005-0372-7\" target=\"_blank\">Article<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" data-track-action=\"google scholar reference\" data-track-value=\"google scholar reference\" data-track-label=\"link\" data-track-item_id=\"link\" rel=\"nofollow noopener\" aria-label=\"Google Scholar reference 162\" href=\"http:\/\/scholar.google.com\/scholar_lookup?&amp;title=Another%20thin-film%20limit%20of%20micromagnetics&amp;journal=Arch.%20Ration.%20Mech.%20Anal.&amp;doi=10.1007%2Fs00205-005-0372-7&amp;volume=178&amp;pages=227-245&amp;publication_year=2005&amp;author=Kohn%2CRV&amp;author=Slastikov%2CVV\" target=\"_blank\"><br \/>\n                    Google Scholar<\/a>\u00a0\n                <\/p>\n<\/li>\n<li class=\"c-article-references__item js-c-reading-companion-references-item\" data-counter=\"163.\">\n<p class=\"c-article-references__text\" id=\"ref-CR163\">Slastikov, V. V. &amp; Sonnenberg, C. Reduced models for ferromagnetic nanowires. IMA J. Appl. Math. <b>77<\/b>, 220\u2013235 (2012).<\/p>\n<p class=\"c-article-references__links u-hide-print\"><a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"10.1093\/imamat\/hxr019\" data-track-item_id=\"10.1093\/imamat\/hxr019\" data-track-value=\"article reference\" data-track-action=\"article reference\" href=\"https:\/\/doi.org\/10.1093%2Fimamat%2Fhxr019\" aria-label=\"Article reference 163\" data-doi=\"10.1093\/imamat\/hxr019\" target=\"_blank\">Article<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" data-track-action=\"google scholar reference\" data-track-value=\"google scholar reference\" data-track-label=\"link\" data-track-item_id=\"link\" rel=\"nofollow noopener\" aria-label=\"Google Scholar reference 163\" href=\"http:\/\/scholar.google.com\/scholar_lookup?&amp;title=Reduced%20models%20for%20ferromagnetic%20nanowires&amp;journal=IMA%20J.%20Appl.%20Math.&amp;doi=10.1093%2Fimamat%2Fhxr019&amp;volume=77&amp;pages=220-235&amp;publication_year=2012&amp;author=Slastikov%2CVV&amp;author=Sonnenberg%2CC\" target=\"_blank\"><br \/>\n                    Google Scholar<\/a>\u00a0\n                <\/p>\n<\/li>\n<li class=\"c-article-references__item js-c-reading-companion-references-item\" data-counter=\"164.\">\n<p class=\"c-article-references__text\" id=\"ref-CR164\">Pylypovskyi, O. V. et al. Coupling of chiralities in spin and physical spaces: the M\u00f6bius ring as a case study. Phys. Rev. Lett. <b>114<\/b>, 197204 (2015).<\/p>\n<p class=\"c-article-references__links u-hide-print\"><a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"10.1103\/PhysRevLett.114.197204\" data-track-item_id=\"10.1103\/PhysRevLett.114.197204\" data-track-value=\"article reference\" data-track-action=\"article reference\" href=\"https:\/\/doi.org\/10.1103%2FPhysRevLett.114.197204\" aria-label=\"Article reference 164\" data-doi=\"10.1103\/PhysRevLett.114.197204\" target=\"_blank\">Article<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"link\" data-track-item_id=\"link\" data-track-value=\"pubmed reference\" data-track-action=\"pubmed reference\" href=\"http:\/\/www.ncbi.nlm.nih.gov\/entrez\/query.fcgi?cmd=Retrieve&amp;db=PubMed&amp;dopt=Abstract&amp;list_uids=26024195\" aria-label=\"PubMed reference 164\" target=\"_blank\">PubMed<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" data-track-action=\"google scholar reference\" data-track-value=\"google scholar reference\" data-track-label=\"link\" data-track-item_id=\"link\" rel=\"nofollow noopener\" aria-label=\"Google Scholar reference 164\" href=\"http:\/\/scholar.google.com\/scholar_lookup?&amp;title=Coupling%20of%20chiralities%20in%20spin%20and%20physical%20spaces%3A%20the%20M%C3%B6bius%20ring%20as%20a%20case%20study&amp;journal=Phys.%20Rev.%20Lett.&amp;doi=10.1103%2FPhysRevLett.114.197204&amp;volume=114&amp;publication_year=2015&amp;author=Pylypovskyi%2COV\" target=\"_blank\"><br \/>\n                    Google Scholar<\/a>\u00a0\n                <\/p>\n<\/li>\n<li class=\"c-article-references__item js-c-reading-companion-references-item\" data-counter=\"165.\">\n<p class=\"c-article-references__text\" id=\"ref-CR165\">Hertel, R. Micromagnetic simulations of magnetostatically coupled nickel nanowires. J. Appl. Phys. <b>90<\/b>, 5752\u20135758 (2001).<\/p>\n<p class=\"c-article-references__links u-hide-print\"><a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"10.1063\/1.1412275\" data-track-item_id=\"10.1063\/1.1412275\" data-track-value=\"article reference\" data-track-action=\"article reference\" href=\"https:\/\/doi.org\/10.1063%2F1.1412275\" aria-label=\"Article reference 165\" data-doi=\"10.1063\/1.1412275\" target=\"_blank\">Article<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"link\" data-track-item_id=\"link\" data-track-value=\"cas reference\" data-track-action=\"cas reference\" href=\"https:\/\/www.nature.com\/articles\/cas-redirect\/1:CAS:528:DC%2BD3MXotlyju70%3D\" aria-label=\"CAS reference 165\" target=\"_blank\">CAS<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" data-track-action=\"google scholar reference\" data-track-value=\"google scholar reference\" data-track-label=\"link\" data-track-item_id=\"link\" rel=\"nofollow noopener\" aria-label=\"Google Scholar reference 165\" href=\"http:\/\/scholar.google.com\/scholar_lookup?&amp;title=Micromagnetic%20simulations%20of%20magnetostatically%20coupled%20nickel%20nanowires&amp;journal=J.%20Appl.%20Phys.&amp;doi=10.1063%2F1.1412275&amp;volume=90&amp;pages=5752-5758&amp;publication_year=2001&amp;author=Hertel%2CR\" target=\"_blank\"><br \/>\n                    Google Scholar<\/a>\u00a0\n                <\/p>\n<\/li>\n<li class=\"c-article-references__item js-c-reading-companion-references-item\" data-counter=\"166.\">\n<p class=\"c-article-references__text\" id=\"ref-CR166\">Nielsch, K. et al. Hexagonally ordered 100\u2009nm period nickel nanowire arrays. Appl. Phys. Lett. <b>79<\/b>, 1360\u20131362 (2001).<\/p>\n<p class=\"c-article-references__links u-hide-print\"><a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"10.1063\/1.1399006\" data-track-item_id=\"10.1063\/1.1399006\" data-track-value=\"article reference\" data-track-action=\"article reference\" href=\"https:\/\/doi.org\/10.1063%2F1.1399006\" aria-label=\"Article reference 166\" data-doi=\"10.1063\/1.1399006\" target=\"_blank\">Article<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"link\" data-track-item_id=\"link\" data-track-value=\"cas reference\" data-track-action=\"cas reference\" href=\"https:\/\/www.nature.com\/articles\/cas-redirect\/1:CAS:528:DC%2BD3MXmt1Wltrs%3D\" aria-label=\"CAS reference 166\" target=\"_blank\">CAS<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" data-track-action=\"google scholar reference\" data-track-value=\"google scholar reference\" data-track-label=\"link\" data-track-item_id=\"link\" rel=\"nofollow noopener\" aria-label=\"Google Scholar reference 166\" href=\"http:\/\/scholar.google.com\/scholar_lookup?&amp;title=Hexagonally%20ordered%20100%E2%80%89nm%20period%20nickel%20nanowire%20arrays&amp;journal=Appl.%20Phys.%20Lett.&amp;doi=10.1063%2F1.1399006&amp;volume=79&amp;pages=1360-1362&amp;publication_year=2001&amp;author=Nielsch%2CK\" target=\"_blank\"><br \/>\n                    Google Scholar<\/a>\u00a0\n                <\/p>\n<\/li>\n<li class=\"c-article-references__item js-c-reading-companion-references-item\" data-counter=\"167.\">\n<p class=\"c-article-references__text\" id=\"ref-CR167\">Gao, J., Zhang, B., Zhang, X. &amp; Xu, B. Magnetic-dipolar-interaction-induced self-assembly affords wires of hollow nanocrystals of cobalt selenide. Angew. Chem. Int. Ed. <b>118<\/b>, 1242\u20131245 (2006).<\/p>\n<p class=\"c-article-references__links u-hide-print\"><a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"10.1002\/ange.200503486\" data-track-item_id=\"10.1002\/ange.200503486\" data-track-value=\"article reference\" data-track-action=\"article reference\" href=\"https:\/\/doi.org\/10.1002%2Fange.200503486\" aria-label=\"Article reference 167\" data-doi=\"10.1002\/ange.200503486\" target=\"_blank\">Article<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" data-track-action=\"google scholar reference\" data-track-value=\"google scholar reference\" data-track-label=\"link\" data-track-item_id=\"link\" rel=\"nofollow noopener\" aria-label=\"Google Scholar reference 167\" href=\"http:\/\/scholar.google.com\/scholar_lookup?&amp;title=Magnetic-dipolar-interaction-induced%20self-assembly%20affords%20wires%20of%20hollow%20nanocrystals%20of%20cobalt%20selenide&amp;journal=Angew.%20Chem.%20Int.%20Ed.&amp;doi=10.1002%2Fange.200503486&amp;volume=118&amp;pages=1242-1245&amp;publication_year=2006&amp;author=Gao%2CJ&amp;author=Zhang%2CB&amp;author=Zhang%2CX&amp;author=Xu%2CB\" target=\"_blank\"><br \/>\n                    Google Scholar<\/a>\u00a0\n                <\/p>\n<\/li>\n<li class=\"c-article-references__item js-c-reading-companion-references-item\" data-counter=\"168.\">\n<p class=\"c-article-references__text\" id=\"ref-CR168\">Wolny, F. et al. Iron filled carbon nanotubes as novel monopole-like sensors for quantitative magnetic force microscopy. Nanotechnology <b>21<\/b>, 435501 (2010).<\/p>\n<p class=\"c-article-references__links u-hide-print\"><a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"10.1088\/0957-4484\/21\/43\/435501\" data-track-item_id=\"10.1088\/0957-4484\/21\/43\/435501\" data-track-value=\"article reference\" data-track-action=\"article reference\" href=\"https:\/\/doi.org\/10.1088%2F0957-4484%2F21%2F43%2F435501\" aria-label=\"Article reference 168\" data-doi=\"10.1088\/0957-4484\/21\/43\/435501\" target=\"_blank\">Article<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"link\" data-track-item_id=\"link\" data-track-value=\"cas reference\" data-track-action=\"cas reference\" href=\"https:\/\/www.nature.com\/articles\/cas-redirect\/1:STN:280:DC%2BC3cfms1KgsQ%3D%3D\" aria-label=\"CAS reference 168\" target=\"_blank\">CAS<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"link\" data-track-item_id=\"link\" data-track-value=\"pubmed reference\" data-track-action=\"pubmed reference\" href=\"http:\/\/www.ncbi.nlm.nih.gov\/entrez\/query.fcgi?cmd=Retrieve&amp;db=PubMed&amp;dopt=Abstract&amp;list_uids=20876975\" aria-label=\"PubMed reference 168\" target=\"_blank\">PubMed<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" data-track-action=\"google scholar reference\" data-track-value=\"google scholar reference\" data-track-label=\"link\" data-track-item_id=\"link\" rel=\"nofollow noopener\" aria-label=\"Google Scholar reference 168\" href=\"http:\/\/scholar.google.com\/scholar_lookup?&amp;title=Iron%20filled%20carbon%20nanotubes%20as%20novel%20monopole-like%20sensors%20for%20quantitative%20magnetic%20force%20microscopy&amp;journal=Nanotechnology&amp;doi=10.1088%2F0957-4484%2F21%2F43%2F435501&amp;volume=21&amp;publication_year=2010&amp;author=Wolny%2CF\" target=\"_blank\"><br \/>\n                    Google Scholar<\/a>\u00a0\n                <\/p>\n<\/li>\n<li class=\"c-article-references__item js-c-reading-companion-references-item\" data-counter=\"169.\">\n<p class=\"c-article-references__text\" id=\"ref-CR169\">Mei, Y. et al. Versatile approach for integrative and functionalized tubes by strain engineering of nanomembranes on polymers. Adv. Mater. <b>20<\/b>, 4085\u20134090 (2008).<\/p>\n<p class=\"c-article-references__links u-hide-print\"><a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"10.1002\/adma.200801589\" data-track-item_id=\"10.1002\/adma.200801589\" data-track-value=\"article reference\" data-track-action=\"article reference\" href=\"https:\/\/doi.org\/10.1002%2Fadma.200801589\" aria-label=\"Article reference 169\" data-doi=\"10.1002\/adma.200801589\" target=\"_blank\">Article<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"link\" data-track-item_id=\"link\" data-track-value=\"cas reference\" data-track-action=\"cas reference\" href=\"https:\/\/www.nature.com\/articles\/cas-redirect\/1:CAS:528:DC%2BD1cXhsVehtbjO\" aria-label=\"CAS reference 169\" target=\"_blank\">CAS<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" data-track-action=\"google scholar reference\" data-track-value=\"google scholar reference\" data-track-label=\"link\" data-track-item_id=\"link\" rel=\"nofollow noopener\" aria-label=\"Google Scholar reference 169\" href=\"http:\/\/scholar.google.com\/scholar_lookup?&amp;title=Versatile%20approach%20for%20integrative%20and%20functionalized%20tubes%20by%20strain%20engineering%20of%20nanomembranes%20on%20polymers&amp;journal=Adv.%20Mater.&amp;doi=10.1002%2Fadma.200801589&amp;volume=20&amp;pages=4085-4090&amp;publication_year=2008&amp;author=Mei%2CY\" target=\"_blank\"><br \/>\n                    Google Scholar<\/a>\u00a0\n                <\/p>\n<\/li>\n<li class=\"c-article-references__item js-c-reading-companion-references-item\" data-counter=\"170.\">\n<p class=\"c-article-references__text\" id=\"ref-CR170\">Tillier, J. et al. Fabrication and characterization of a Ni\u2013Mn\u2013Ga uniaxially textured freestanding film deposited by DC magnetron sputtering. J. Alloys Compd. <b>489<\/b>, 509\u2013514 (2010).<\/p>\n<p class=\"c-article-references__links u-hide-print\"><a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"10.1016\/j.jallcom.2009.09.096\" data-track-item_id=\"10.1016\/j.jallcom.2009.09.096\" data-track-value=\"article reference\" data-track-action=\"article reference\" href=\"https:\/\/doi.org\/10.1016%2Fj.jallcom.2009.09.096\" aria-label=\"Article reference 170\" data-doi=\"10.1016\/j.jallcom.2009.09.096\" target=\"_blank\">Article<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"link\" data-track-item_id=\"link\" data-track-value=\"cas reference\" data-track-action=\"cas reference\" href=\"https:\/\/www.nature.com\/articles\/cas-redirect\/1:CAS:528:DC%2BD1MXhsFags7bK\" aria-label=\"CAS reference 170\" target=\"_blank\">CAS<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" data-track-action=\"google scholar reference\" data-track-value=\"google scholar reference\" data-track-label=\"link\" data-track-item_id=\"link\" rel=\"nofollow noopener\" aria-label=\"Google Scholar reference 170\" href=\"http:\/\/scholar.google.com\/scholar_lookup?&amp;title=Fabrication%20and%20characterization%20of%20a%20Ni%E2%80%93Mn%E2%80%93Ga%20uniaxially%20textured%20freestanding%20film%20deposited%20by%20DC%20magnetron%20sputtering&amp;journal=J.%20Alloys%20Compd.&amp;doi=10.1016%2Fj.jallcom.2009.09.096&amp;volume=489&amp;pages=509-514&amp;publication_year=2010&amp;author=Tillier%2CJ\" target=\"_blank\"><br \/>\n                    Google Scholar<\/a>\u00a0\n                <\/p>\n<\/li>\n<li class=\"c-article-references__item js-c-reading-companion-references-item\" data-counter=\"171.\">\n<p class=\"c-article-references__text\" id=\"ref-CR171\">Malac, M., Egerton, R. F., Brett, M. J. &amp; Dick, B. Fabrication of submicrometer regular arrays of pillars and helices. J. Vacuum Sci. Technol. B <b>17<\/b>, 2671\u20132674 (1999).<\/p>\n<p class=\"c-article-references__links u-hide-print\"><a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"10.1116\/1.591046\" data-track-item_id=\"10.1116\/1.591046\" data-track-value=\"article reference\" data-track-action=\"article reference\" href=\"https:\/\/doi.org\/10.1116%2F1.591046\" aria-label=\"Article reference 171\" data-doi=\"10.1116\/1.591046\" target=\"_blank\">Article<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"link\" data-track-item_id=\"link\" data-track-value=\"cas reference\" data-track-action=\"cas reference\" href=\"https:\/\/www.nature.com\/articles\/cas-redirect\/1:CAS:528:DyaK1MXnslWgurk%3D\" aria-label=\"CAS reference 171\" target=\"_blank\">CAS<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" data-track-action=\"google scholar reference\" data-track-value=\"google scholar reference\" data-track-label=\"link\" data-track-item_id=\"link\" rel=\"nofollow noopener\" aria-label=\"Google Scholar reference 171\" href=\"http:\/\/scholar.google.com\/scholar_lookup?&amp;title=Fabrication%20of%20submicrometer%20regular%20arrays%20of%20pillars%20and%20helices&amp;journal=J.%20Vacuum%20Sci.%20Technol.%20B&amp;doi=10.1116%2F1.591046&amp;volume=17&amp;pages=2671-2674&amp;publication_year=1999&amp;author=Malac%2CM&amp;author=Egerton%2CRF&amp;author=Brett%2CMJ&amp;author=Dick%2CB\" target=\"_blank\"><br \/>\n                    Google Scholar<\/a>\u00a0\n                <\/p>\n<\/li>\n<li class=\"c-article-references__item js-c-reading-companion-references-item\" data-counter=\"172.\">\n<p class=\"c-article-references__text\" id=\"ref-CR172\">Kruth, J. et al. Selective laser melting of iron-based powder. J. Mater. Process. Technol. <b>149<\/b>, 616\u2013622 (2004).<\/p>\n<p class=\"c-article-references__links u-hide-print\"><a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"10.1016\/j.jmatprotec.2003.11.051\" data-track-item_id=\"10.1016\/j.jmatprotec.2003.11.051\" data-track-value=\"article reference\" data-track-action=\"article reference\" href=\"https:\/\/doi.org\/10.1016%2Fj.jmatprotec.2003.11.051\" aria-label=\"Article reference 172\" data-doi=\"10.1016\/j.jmatprotec.2003.11.051\" target=\"_blank\">Article<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"link\" data-track-item_id=\"link\" data-track-value=\"cas reference\" data-track-action=\"cas reference\" href=\"https:\/\/www.nature.com\/articles\/cas-redirect\/1:CAS:528:DC%2BD2cXkvFWnt7w%3D\" aria-label=\"CAS reference 172\" target=\"_blank\">CAS<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" data-track-action=\"google scholar reference\" data-track-value=\"google scholar reference\" data-track-label=\"link\" data-track-item_id=\"link\" rel=\"nofollow noopener\" aria-label=\"Google Scholar reference 172\" href=\"http:\/\/scholar.google.com\/scholar_lookup?&amp;title=Selective%20laser%20melting%20of%20iron-based%20powder&amp;journal=J.%20Mater.%20Process.%20Technol.&amp;doi=10.1016%2Fj.jmatprotec.2003.11.051&amp;volume=149&amp;pages=616-622&amp;publication_year=2004&amp;author=Kruth%2CJ\" target=\"_blank\"><br \/>\n                    Google Scholar<\/a>\u00a0\n                <\/p>\n<\/li>\n<li class=\"c-article-references__item js-c-reading-companion-references-item\" data-counter=\"173.\">\n<p class=\"c-article-references__text\" id=\"ref-CR173\">May, A., Hunt, M., Berg, A. V. D., Hejazi, A. &amp; Ladak, S. Realisation of a frustrated 3D magnetic nanowire lattice. Commun. Phys. <b>2<\/b>, 13 (2019).<\/p>\n<p class=\"c-article-references__links u-hide-print\"><a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"10.1038\/s42005-018-0104-6\" data-track-item_id=\"10.1038\/s42005-018-0104-6\" data-track-value=\"article reference\" data-track-action=\"article reference\" href=\"https:\/\/doi.org\/10.1038%2Fs42005-018-0104-6\" aria-label=\"Article reference 173\" data-doi=\"10.1038\/s42005-018-0104-6\" target=\"_blank\">Article<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" data-track-action=\"google scholar reference\" data-track-value=\"google scholar reference\" data-track-label=\"link\" data-track-item_id=\"link\" rel=\"nofollow noopener\" aria-label=\"Google Scholar reference 173\" href=\"http:\/\/scholar.google.com\/scholar_lookup?&amp;title=Realisation%20of%20a%20frustrated%203D%20magnetic%20nanowire%20lattice&amp;journal=Commun.%20Phys.&amp;doi=10.1038%2Fs42005-018-0104-6&amp;volume=2&amp;publication_year=2019&amp;author=May%2CA&amp;author=Hunt%2CM&amp;author=Berg%2CAVD&amp;author=Hejazi%2CA&amp;author=Ladak%2CS\" target=\"_blank\"><br \/>\n                    Google Scholar<\/a>\u00a0\n                <\/p>\n<\/li>\n<li class=\"c-article-references__item js-c-reading-companion-references-item\" data-counter=\"174.\">\n<p class=\"c-article-references__text\" id=\"ref-CR174\">Donnelly, C. et al. Three-dimensional magnetization structures revealed with X-ray vector nanotomography. Nature <b>547<\/b>, 328\u2013331 (2017).<\/p>\n<p class=\"c-article-references__links u-hide-print\"><a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"10.1038\/nature23006\" data-track-item_id=\"10.1038\/nature23006\" data-track-value=\"article reference\" data-track-action=\"article reference\" href=\"https:\/\/doi.org\/10.1038%2Fnature23006\" aria-label=\"Article reference 174\" data-doi=\"10.1038\/nature23006\" target=\"_blank\">Article<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"link\" data-track-item_id=\"link\" data-track-value=\"cas reference\" data-track-action=\"cas reference\" href=\"https:\/\/www.nature.com\/articles\/cas-redirect\/1:CAS:528:DC%2BC2sXhtF2qurvP\" aria-label=\"CAS reference 174\" target=\"_blank\">CAS<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"link\" data-track-item_id=\"link\" data-track-value=\"pubmed reference\" data-track-action=\"pubmed reference\" href=\"http:\/\/www.ncbi.nlm.nih.gov\/entrez\/query.fcgi?cmd=Retrieve&amp;db=PubMed&amp;dopt=Abstract&amp;list_uids=28726832\" aria-label=\"PubMed reference 174\" target=\"_blank\">PubMed<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" data-track-action=\"google scholar reference\" data-track-value=\"google scholar reference\" data-track-label=\"link\" data-track-item_id=\"link\" rel=\"nofollow noopener\" aria-label=\"Google Scholar reference 174\" href=\"http:\/\/scholar.google.com\/scholar_lookup?&amp;title=Three-dimensional%20magnetization%20structures%20revealed%20with%20X-ray%20vector%20nanotomography&amp;journal=Nature&amp;doi=10.1038%2Fnature23006&amp;volume=547&amp;pages=328-331&amp;publication_year=2017&amp;author=Donnelly%2CC\" target=\"_blank\"><br \/>\n                    Google Scholar<\/a>\u00a0\n                <\/p>\n<\/li>\n<li class=\"c-article-references__item js-c-reading-companion-references-item\" data-counter=\"175.\">\n<p class=\"c-article-references__text\" id=\"ref-CR175\">Weber, D. P. et al. Cantilever magnetometry of individual Ni nanotubes. Nano Lett. <b>12<\/b>, 6139\u20136144 (2012).<\/p>\n<p class=\"c-article-references__links u-hide-print\"><a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"10.1021\/nl302950u\" data-track-item_id=\"10.1021\/nl302950u\" data-track-value=\"article reference\" data-track-action=\"article reference\" href=\"https:\/\/doi.org\/10.1021%2Fnl302950u\" aria-label=\"Article reference 175\" data-doi=\"10.1021\/nl302950u\" target=\"_blank\">Article<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"link\" data-track-item_id=\"link\" data-track-value=\"cas reference\" data-track-action=\"cas reference\" href=\"https:\/\/www.nature.com\/articles\/cas-redirect\/1:CAS:528:DC%2BC38Xhs1aktbfF\" aria-label=\"CAS reference 175\" target=\"_blank\">CAS<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"link\" data-track-item_id=\"link\" data-track-value=\"pubmed reference\" data-track-action=\"pubmed reference\" href=\"http:\/\/www.ncbi.nlm.nih.gov\/entrez\/query.fcgi?cmd=Retrieve&amp;db=PubMed&amp;dopt=Abstract&amp;list_uids=23134122\" aria-label=\"PubMed reference 175\" target=\"_blank\">PubMed<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" data-track-action=\"google scholar reference\" data-track-value=\"google scholar reference\" data-track-label=\"link\" data-track-item_id=\"link\" rel=\"nofollow noopener\" aria-label=\"Google Scholar reference 175\" href=\"http:\/\/scholar.google.com\/scholar_lookup?&amp;title=Cantilever%20magnetometry%20of%20individual%20Ni%20nanotubes&amp;journal=Nano%20Lett.&amp;doi=10.1021%2Fnl302950u&amp;volume=12&amp;pages=6139-6144&amp;publication_year=2012&amp;author=Weber%2CDP\" target=\"_blank\"><br \/>\n                    Google Scholar<\/a>\u00a0\n                <\/p>\n<\/li>\n<li class=\"c-article-references__item js-c-reading-companion-references-item\" data-counter=\"176.\">\n<p class=\"c-article-references__text\" id=\"ref-CR176\">Streubel, R. et al. Magnetically capped rolled-up nanomembranes. Nano Lett. <b>12<\/b>, 3961\u20133966 (2012).<\/p>\n<p class=\"c-article-references__links u-hide-print\"><a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"10.1021\/nl301147h\" data-track-item_id=\"10.1021\/nl301147h\" data-track-value=\"article reference\" data-track-action=\"article reference\" href=\"https:\/\/doi.org\/10.1021%2Fnl301147h\" aria-label=\"Article reference 176\" data-doi=\"10.1021\/nl301147h\" target=\"_blank\">Article<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"link\" data-track-item_id=\"link\" data-track-value=\"cas reference\" data-track-action=\"cas reference\" href=\"https:\/\/www.nature.com\/articles\/cas-redirect\/1:CAS:528:DC%2BC38Xpt1Ciurg%3D\" aria-label=\"CAS reference 176\" target=\"_blank\">CAS<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"link\" data-track-item_id=\"link\" data-track-value=\"pubmed reference\" data-track-action=\"pubmed reference\" href=\"http:\/\/www.ncbi.nlm.nih.gov\/entrez\/query.fcgi?cmd=Retrieve&amp;db=PubMed&amp;dopt=Abstract&amp;list_uids=22738285\" aria-label=\"PubMed reference 176\" target=\"_blank\">PubMed<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" data-track-action=\"google scholar reference\" data-track-value=\"google scholar reference\" data-track-label=\"link\" data-track-item_id=\"link\" rel=\"nofollow noopener\" aria-label=\"Google Scholar reference 176\" href=\"http:\/\/scholar.google.com\/scholar_lookup?&amp;title=Magnetically%20capped%20rolled-up%20nanomembranes&amp;journal=Nano%20Lett.&amp;doi=10.1021%2Fnl301147h&amp;volume=12&amp;pages=3961-3966&amp;publication_year=2012&amp;author=Streubel%2CR\" target=\"_blank\"><br \/>\n                    Google Scholar<\/a>\u00a0\n                <\/p>\n<\/li>\n<li class=\"c-article-references__item js-c-reading-companion-references-item\" data-counter=\"177.\">\n<p class=\"c-article-references__text\" id=\"ref-CR177\">Vock, S. et al. Magnetic vortex observation in FeCo nanowires by quantitative magnetic force microscopy. Appl. Phys. Lett. <b>105<\/b>, 172409 (2014).<\/p>\n<p class=\"c-article-references__links u-hide-print\"><a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"10.1063\/1.4900998\" data-track-item_id=\"10.1063\/1.4900998\" data-track-value=\"article reference\" data-track-action=\"article reference\" href=\"https:\/\/doi.org\/10.1063%2F1.4900998\" aria-label=\"Article reference 177\" data-doi=\"10.1063\/1.4900998\" target=\"_blank\">Article<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" data-track-action=\"google scholar reference\" data-track-value=\"google scholar reference\" data-track-label=\"link\" data-track-item_id=\"link\" rel=\"nofollow noopener\" aria-label=\"Google Scholar reference 177\" href=\"http:\/\/scholar.google.com\/scholar_lookup?&amp;title=Magnetic%20vortex%20observation%20in%20FeCo%20nanowires%20by%20quantitative%20magnetic%20force%20microscopy&amp;journal=Appl.%20Phys.%20Lett.&amp;doi=10.1063%2F1.4900998&amp;volume=105&amp;publication_year=2014&amp;author=Vock%2CS\" target=\"_blank\"><br \/>\n                    Google Scholar<\/a>\u00a0\n                <\/p>\n<\/li>\n<li class=\"c-article-references__item js-c-reading-companion-references-item\" data-counter=\"178.\">\n<p class=\"c-article-references__text\" id=\"ref-CR178\">Maurenbrecher, H. et al. Chiral anisotropic magnetoresistance of ferromagnetic helices. Appl. Phy. Lett. <b>112<\/b>, 242401 (2018).<\/p>\n<p class=\"c-article-references__links u-hide-print\"><a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"10.1063\/1.5027660\" data-track-item_id=\"10.1063\/1.5027660\" data-track-value=\"article reference\" data-track-action=\"article reference\" href=\"https:\/\/doi.org\/10.1063%2F1.5027660\" aria-label=\"Article reference 178\" data-doi=\"10.1063\/1.5027660\" target=\"_blank\">Article<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" data-track-action=\"google scholar reference\" data-track-value=\"google scholar reference\" data-track-label=\"link\" data-track-item_id=\"link\" rel=\"nofollow noopener\" aria-label=\"Google Scholar reference 178\" href=\"http:\/\/scholar.google.com\/scholar_lookup?&amp;title=Chiral%20anisotropic%20magnetoresistance%20of%20ferromagnetic%20helices&amp;journal=Appl.%20Phy.%20Lett.&amp;doi=10.1063%2F1.5027660&amp;volume=112&amp;publication_year=2018&amp;author=Maurenbrecher%2CH\" target=\"_blank\"><br \/>\n                    Google Scholar<\/a>\u00a0\n                <\/p>\n<\/li>\n<li class=\"c-article-references__item js-c-reading-companion-references-item\" data-counter=\"179.\">\n<p class=\"c-article-references__text\" id=\"ref-CR179\">Vignesh, K. R. &amp; Rajaraman, G. Strategies to design single-molecule toroics using triangular {ln3}n motifs. ACS Omega <b>6<\/b>, 32349\u201332364 (2021).<\/p>\n<p class=\"c-article-references__links u-hide-print\"><a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"10.1021\/acsomega.1c05310\" data-track-item_id=\"10.1021\/acsomega.1c05310\" data-track-value=\"article reference\" data-track-action=\"article reference\" href=\"https:\/\/doi.org\/10.1021%2Facsomega.1c05310\" aria-label=\"Article reference 179\" data-doi=\"10.1021\/acsomega.1c05310\" target=\"_blank\">Article<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"link\" data-track-item_id=\"link\" data-track-value=\"cas reference\" data-track-action=\"cas reference\" href=\"https:\/\/www.nature.com\/articles\/cas-redirect\/1:CAS:528:DC%2BB3MXisFKqtLvP\" aria-label=\"CAS reference 179\" target=\"_blank\">CAS<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"link\" data-track-item_id=\"link\" data-track-value=\"pubmed reference\" data-track-action=\"pubmed reference\" href=\"http:\/\/www.ncbi.nlm.nih.gov\/entrez\/query.fcgi?cmd=Retrieve&amp;db=PubMed&amp;dopt=Abstract&amp;list_uids=34901588\" aria-label=\"PubMed reference 179\" target=\"_blank\">PubMed<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"link\" data-track-item_id=\"link\" data-track-value=\"pubmed central reference\" data-track-action=\"pubmed central reference\" href=\"http:\/\/www.ncbi.nlm.nih.gov\/pmc\/articles\/PMC8655769\" aria-label=\"PubMed Central reference 179\" target=\"_blank\">PubMed Central<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" data-track-action=\"google scholar reference\" data-track-value=\"google scholar reference\" data-track-label=\"link\" data-track-item_id=\"link\" rel=\"nofollow noopener\" aria-label=\"Google Scholar reference 179\" href=\"http:\/\/scholar.google.com\/scholar_lookup?&amp;title=Strategies%20to%20design%20single-molecule%20toroics%20using%20triangular%20%7Bln3%7Dn%20motifs&amp;journal=ACS%20Omega&amp;doi=10.1021%2Facsomega.1c05310&amp;volume=6&amp;pages=32349-32364&amp;publication_year=2021&amp;author=Vignesh%2CKR&amp;author=Rajaraman%2CG\" target=\"_blank\"><br \/>\n                    Google Scholar<\/a>\u00a0\n                <\/p>\n<\/li>\n<li class=\"c-article-references__item js-c-reading-companion-references-item\" data-counter=\"180.\">\n<p class=\"c-article-references__text\" id=\"ref-CR180\">Yue, W.-C. et al. Toroidic phase transitions in a direct-kagome artificial spin ice. Nat. Nanotechnol. <b>19<\/b>, 1101\u20131107 (2024).<\/p>\n<p class=\"c-article-references__links u-hide-print\"><a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"10.1038\/s41565-024-01666-6\" data-track-item_id=\"10.1038\/s41565-024-01666-6\" data-track-value=\"article reference\" data-track-action=\"article reference\" href=\"https:\/\/doi.org\/10.1038%2Fs41565-024-01666-6\" aria-label=\"Article reference 180\" data-doi=\"10.1038\/s41565-024-01666-6\" target=\"_blank\">Article<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"link\" data-track-item_id=\"link\" data-track-value=\"cas reference\" data-track-action=\"cas reference\" href=\"https:\/\/www.nature.com\/articles\/cas-redirect\/1:CAS:528:DC%2BB2cXpsFGksbc%3D\" aria-label=\"CAS reference 180\" target=\"_blank\">CAS<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"link\" data-track-item_id=\"link\" data-track-value=\"pubmed reference\" data-track-action=\"pubmed reference\" href=\"http:\/\/www.ncbi.nlm.nih.gov\/entrez\/query.fcgi?cmd=Retrieve&amp;db=PubMed&amp;dopt=Abstract&amp;list_uids=38684808\" aria-label=\"PubMed reference 180\" target=\"_blank\">PubMed<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" data-track-action=\"google scholar reference\" data-track-value=\"google scholar reference\" data-track-label=\"link\" data-track-item_id=\"link\" rel=\"nofollow noopener\" aria-label=\"Google Scholar reference 180\" href=\"http:\/\/scholar.google.com\/scholar_lookup?&amp;title=Toroidic%20phase%20transitions%20in%20a%20direct-kagome%20artificial%20spin%20ice&amp;journal=Nat.%20Nanotechnol.&amp;doi=10.1038%2Fs41565-024-01666-6&amp;volume=19&amp;pages=1101-1107&amp;publication_year=2024&amp;author=Yue%2CW-C\" target=\"_blank\"><br \/>\n                    Google Scholar<\/a>\u00a0\n                <\/p>\n<\/li>\n<li class=\"c-article-references__item js-c-reading-companion-references-item\" data-counter=\"181.\">\n<p class=\"c-article-references__text\" id=\"ref-CR181\">Volkov, O., Rossler, U. K., Fassbender, J. &amp; Makarov, D. Concept of artificial magnetoelectric materials via geometrically controlling curvilinear helimagnets. J. Phys. D <b>52<\/b>, 345001 (2019).<\/p>\n<p class=\"c-article-references__links u-hide-print\"><a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"10.1088\/1361-6463\/ab2368\" data-track-item_id=\"10.1088\/1361-6463\/ab2368\" data-track-value=\"article reference\" data-track-action=\"article reference\" href=\"https:\/\/doi.org\/10.1088%2F1361-6463%2Fab2368\" aria-label=\"Article reference 181\" data-doi=\"10.1088\/1361-6463\/ab2368\" target=\"_blank\">Article<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"link\" data-track-item_id=\"link\" data-track-value=\"cas reference\" data-track-action=\"cas reference\" href=\"https:\/\/www.nature.com\/articles\/cas-redirect\/1:CAS:528:DC%2BC1MXhvVOrtrzN\" aria-label=\"CAS reference 181\" target=\"_blank\">CAS<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" data-track-action=\"google scholar reference\" data-track-value=\"google scholar reference\" data-track-label=\"link\" data-track-item_id=\"link\" rel=\"nofollow noopener\" aria-label=\"Google Scholar reference 181\" href=\"http:\/\/scholar.google.com\/scholar_lookup?&amp;title=Concept%20of%20artificial%20magnetoelectric%20materials%20via%20geometrically%20controlling%20curvilinear%20helimagnets&amp;journal=J.%20Phys.%20D&amp;doi=10.1088%2F1361-6463%2Fab2368&amp;volume=52&amp;publication_year=2019&amp;author=Volkov%2CO&amp;author=Rossler%2CUK&amp;author=Fassbender%2CJ&amp;author=Makarov%2CD\" target=\"_blank\"><br \/>\n                    Google Scholar<\/a>\u00a0\n                <\/p>\n<\/li>\n<li class=\"c-article-references__item js-c-reading-companion-references-item\" data-counter=\"182.\">\n<p class=\"c-article-references__text\" id=\"ref-CR182\">Li, S. et al. Self-powered stretchable strain sensors for motion monitoring and wireless control. Nano Energy <b>92<\/b>, 106754 (2022).<\/p>\n<p class=\"c-article-references__links u-hide-print\"><a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"10.1016\/j.nanoen.2021.106754\" data-track-item_id=\"10.1016\/j.nanoen.2021.106754\" data-track-value=\"article reference\" data-track-action=\"article reference\" href=\"https:\/\/doi.org\/10.1016%2Fj.nanoen.2021.106754\" aria-label=\"Article reference 182\" data-doi=\"10.1016\/j.nanoen.2021.106754\" target=\"_blank\">Article<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"link\" data-track-item_id=\"link\" data-track-value=\"cas reference\" data-track-action=\"cas reference\" href=\"https:\/\/www.nature.com\/articles\/cas-redirect\/1:CAS:528:DC%2BB3MXislemu73K\" aria-label=\"CAS reference 182\" target=\"_blank\">CAS<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" data-track-action=\"google scholar reference\" data-track-value=\"google scholar reference\" data-track-label=\"link\" data-track-item_id=\"link\" rel=\"nofollow noopener\" aria-label=\"Google Scholar reference 182\" href=\"http:\/\/scholar.google.com\/scholar_lookup?&amp;title=Self-powered%20stretchable%20strain%20sensors%20for%20motion%20monitoring%20and%20wireless%20control&amp;journal=Nano%20Energy&amp;doi=10.1016%2Fj.nanoen.2021.106754&amp;volume=92&amp;publication_year=2022&amp;author=Li%2CS\" target=\"_blank\"><br \/>\n                    Google Scholar<\/a>\u00a0\n                <\/p>\n<\/li>\n<li class=\"c-article-references__item js-c-reading-companion-references-item\" data-counter=\"183.\">\n<p class=\"c-article-references__text\" id=\"ref-CR183\">Eliseev, E. A., Morozovska, A. N., Glinchuk, M. D. &amp; Blinc, R. Spontaneous flexoelectric\/flexomagnetic effect in nanoferroics. Phys. Rev. B <b>79<\/b>, 165433 (2009).<\/p>\n<p class=\"c-article-references__links u-hide-print\"><a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"10.1103\/PhysRevB.79.165433\" data-track-item_id=\"10.1103\/PhysRevB.79.165433\" data-track-value=\"article reference\" data-track-action=\"article reference\" href=\"https:\/\/doi.org\/10.1103%2FPhysRevB.79.165433\" aria-label=\"Article reference 183\" data-doi=\"10.1103\/PhysRevB.79.165433\" target=\"_blank\">Article<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" data-track-action=\"google scholar reference\" data-track-value=\"google scholar reference\" data-track-label=\"link\" data-track-item_id=\"link\" rel=\"nofollow noopener\" aria-label=\"Google Scholar reference 183\" href=\"http:\/\/scholar.google.com\/scholar_lookup?&amp;title=Spontaneous%20flexoelectric%2Fflexomagnetic%20effect%20in%20nanoferroics&amp;journal=Phys.%20Rev.%20B&amp;doi=10.1103%2FPhysRevB.79.165433&amp;volume=79&amp;publication_year=2009&amp;author=Eliseev%2CEA&amp;author=Morozovska%2CAN&amp;author=Glinchuk%2CMD&amp;author=Blinc%2CR\" target=\"_blank\"><br \/>\n                    Google Scholar<\/a>\u00a0\n                <\/p>\n<\/li>\n<li class=\"c-article-references__item js-c-reading-companion-references-item\" data-counter=\"184.\">\n<p class=\"c-article-references__text\" id=\"ref-CR184\">Lukashev, P. &amp; Sabirianov, R. F. Flexomagnetic effect in frustrated triangular magnetic structures. Phys. Rev. B <b>82<\/b>, 094417 (2010).<\/p>\n<p class=\"c-article-references__links u-hide-print\"><a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"10.1103\/PhysRevB.82.094417\" data-track-item_id=\"10.1103\/PhysRevB.82.094417\" data-track-value=\"article reference\" data-track-action=\"article reference\" href=\"https:\/\/doi.org\/10.1103%2FPhysRevB.82.094417\" aria-label=\"Article reference 184\" data-doi=\"10.1103\/PhysRevB.82.094417\" target=\"_blank\">Article<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" data-track-action=\"google scholar reference\" data-track-value=\"google scholar reference\" data-track-label=\"link\" data-track-item_id=\"link\" rel=\"nofollow noopener\" aria-label=\"Google Scholar reference 184\" href=\"http:\/\/scholar.google.com\/scholar_lookup?&amp;title=Flexomagnetic%20effect%20in%20frustrated%20triangular%20magnetic%20structures&amp;journal=Phys.%20Rev.%20B&amp;doi=10.1103%2FPhysRevB.82.094417&amp;volume=82&amp;publication_year=2010&amp;author=Lukashev%2CP&amp;author=Sabirianov%2CRF\" target=\"_blank\"><br \/>\n                    Google Scholar<\/a>\u00a0\n                <\/p>\n<\/li>\n<li class=\"c-article-references__item js-c-reading-companion-references-item\" data-counter=\"185.\">\n<p class=\"c-article-references__text\" id=\"ref-CR185\">Stengel, M. Microscopic response to inhomogeneous deformations in curvilinear coordinates. Nat. Commun. <b>4<\/b>, 2693 (2013).<\/p>\n<p class=\"c-article-references__links u-hide-print\"><a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"10.1038\/ncomms3693\" data-track-item_id=\"10.1038\/ncomms3693\" data-track-value=\"article reference\" data-track-action=\"article reference\" href=\"https:\/\/doi.org\/10.1038%2Fncomms3693\" aria-label=\"Article reference 185\" data-doi=\"10.1038\/ncomms3693\" target=\"_blank\">Article<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"link\" data-track-item_id=\"link\" data-track-value=\"pubmed reference\" data-track-action=\"pubmed reference\" href=\"http:\/\/www.ncbi.nlm.nih.gov\/entrez\/query.fcgi?cmd=Retrieve&amp;db=PubMed&amp;dopt=Abstract&amp;list_uids=24189935\" aria-label=\"PubMed reference 185\" target=\"_blank\">PubMed<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" data-track-action=\"google scholar reference\" data-track-value=\"google scholar reference\" data-track-label=\"link\" data-track-item_id=\"link\" rel=\"nofollow noopener\" aria-label=\"Google Scholar reference 185\" href=\"http:\/\/scholar.google.com\/scholar_lookup?&amp;title=Microscopic%20response%20to%20inhomogeneous%20deformations%20in%20curvilinear%20coordinates&amp;journal=Nat.%20Commun.&amp;doi=10.1038%2Fncomms3693&amp;volume=4&amp;publication_year=2013&amp;author=Stengel%2CM\" target=\"_blank\"><br \/>\n                    Google Scholar<\/a>\u00a0\n                <\/p>\n<\/li>\n<li class=\"c-article-references__item js-c-reading-companion-references-item\" data-counter=\"186.\">\n<p class=\"c-article-references__text\" id=\"ref-CR186\">Lai, Y.-H. et al. Quasi-static modulation of multiferroic properties in flexible magnetoelectric Cr2O3\/muscovite heteroepitaxy. Acta Mater. <b>243<\/b>, 118509 (2023).<\/p>\n<p class=\"c-article-references__links u-hide-print\"><a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"10.1016\/j.actamat.2022.118509\" data-track-item_id=\"10.1016\/j.actamat.2022.118509\" data-track-value=\"article reference\" data-track-action=\"article reference\" href=\"https:\/\/doi.org\/10.1016%2Fj.actamat.2022.118509\" aria-label=\"Article reference 186\" data-doi=\"10.1016\/j.actamat.2022.118509\" target=\"_blank\">Article<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"link\" data-track-item_id=\"link\" data-track-value=\"cas reference\" data-track-action=\"cas reference\" href=\"https:\/\/www.nature.com\/articles\/cas-redirect\/1:CAS:528:DC%2BB38XivVOhsLzJ\" aria-label=\"CAS reference 186\" target=\"_blank\">CAS<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" data-track-action=\"google scholar reference\" data-track-value=\"google scholar reference\" data-track-label=\"link\" data-track-item_id=\"link\" rel=\"nofollow noopener\" aria-label=\"Google Scholar reference 186\" href=\"http:\/\/scholar.google.com\/scholar_lookup?&amp;title=Quasi-static%20modulation%20of%20multiferroic%20properties%20in%20flexible%20magnetoelectric%20Cr2O3%2Fmuscovite%20heteroepitaxy&amp;journal=Acta%20Mater.&amp;doi=10.1016%2Fj.actamat.2022.118509&amp;volume=243&amp;publication_year=2023&amp;author=Lai%2CY-H\" target=\"_blank\"><br \/>\n                    Google Scholar<\/a>\u00a0\n                <\/p>\n<\/li>\n<li class=\"c-article-references__item js-c-reading-companion-references-item\" data-counter=\"187.\">\n<p class=\"c-article-references__text\" id=\"ref-CR187\">Fredkin, D. &amp; Koehler, T. Numerical micromagnetics by the finite element method. IEEE Trans. Magn. <b>23<\/b>, 3385\u20133387 (1987).<\/p>\n<p class=\"c-article-references__links u-hide-print\"><a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"10.1109\/TMAG.1987.1065578\" data-track-item_id=\"10.1109\/TMAG.1987.1065578\" data-track-value=\"article reference\" data-track-action=\"article reference\" href=\"https:\/\/doi.org\/10.1109%2FTMAG.1987.1065578\" aria-label=\"Article reference 187\" data-doi=\"10.1109\/TMAG.1987.1065578\" target=\"_blank\">Article<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" data-track-action=\"google scholar reference\" data-track-value=\"google scholar reference\" data-track-label=\"link\" data-track-item_id=\"link\" rel=\"nofollow noopener\" aria-label=\"Google Scholar reference 187\" href=\"http:\/\/scholar.google.com\/scholar_lookup?&amp;title=Numerical%20micromagnetics%20by%20the%20finite%20element%20method&amp;journal=IEEE%20Trans.%20Magn.&amp;doi=10.1109%2FTMAG.1987.1065578&amp;volume=23&amp;pages=3385-3387&amp;publication_year=1987&amp;author=Fredkin%2CD&amp;author=Koehler%2CT\" target=\"_blank\"><br \/>\n                    Google Scholar<\/a>\u00a0\n                <\/p>\n<\/li>\n<li class=\"c-article-references__item js-c-reading-companion-references-item\" data-counter=\"188.\">\n<p class=\"c-article-references__text\" id=\"ref-CR188\">Lopez-Diaz, L., Rothman, J., Klani, M. &amp; Bland, J. Computational study of first magnetization curves in small rings. IEEE Trans. Magn. <b>36<\/b>, 3155\u20133157 (2000).<\/p>\n<p class=\"c-article-references__links u-hide-print\"><a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"10.1109\/20.908718\" data-track-item_id=\"10.1109\/20.908718\" data-track-value=\"article reference\" data-track-action=\"article reference\" href=\"https:\/\/doi.org\/10.1109%2F20.908718\" aria-label=\"Article reference 188\" data-doi=\"10.1109\/20.908718\" target=\"_blank\">Article<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" data-track-action=\"google scholar reference\" data-track-value=\"google scholar reference\" data-track-label=\"link\" data-track-item_id=\"link\" rel=\"nofollow noopener\" aria-label=\"Google Scholar reference 188\" href=\"http:\/\/scholar.google.com\/scholar_lookup?&amp;title=Computational%20study%20of%20first%20magnetization%20curves%20in%20small%20rings&amp;journal=IEEE%20Trans.%20Magn.&amp;doi=10.1109%2F20.908718&amp;volume=36&amp;pages=3155-3157&amp;publication_year=2000&amp;author=Lopez-Diaz%2CL&amp;author=Rothman%2CJ&amp;author=Klani%2CM&amp;author=Bland%2CJ\" target=\"_blank\"><br \/>\n                    Google Scholar<\/a>\u00a0\n                <\/p>\n<\/li>\n<li class=\"c-article-references__item js-c-reading-companion-references-item\" data-counter=\"189.\">\n<p class=\"c-article-references__text\" id=\"ref-CR189\">Ulbrich, T. C. et al. Magnetization reversal in a novel gradient nanomaterial. Phys. Rev. Lett. <b>96<\/b>, 077202 (2006).<\/p>\n<p class=\"c-article-references__links u-hide-print\"><a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"10.1103\/PhysRevLett.96.077202\" data-track-item_id=\"10.1103\/PhysRevLett.96.077202\" data-track-value=\"article reference\" data-track-action=\"article reference\" href=\"https:\/\/doi.org\/10.1103%2FPhysRevLett.96.077202\" aria-label=\"Article reference 189\" data-doi=\"10.1103\/PhysRevLett.96.077202\" target=\"_blank\">Article<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"link\" data-track-item_id=\"link\" data-track-value=\"cas reference\" data-track-action=\"cas reference\" href=\"https:\/\/www.nature.com\/articles\/cas-redirect\/1:STN:280:DC%2BD283gtVyltA%3D%3D\" aria-label=\"CAS reference 189\" target=\"_blank\">CAS<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"link\" data-track-item_id=\"link\" data-track-value=\"pubmed reference\" data-track-action=\"pubmed reference\" href=\"http:\/\/www.ncbi.nlm.nih.gov\/entrez\/query.fcgi?cmd=Retrieve&amp;db=PubMed&amp;dopt=Abstract&amp;list_uids=16606133\" aria-label=\"PubMed reference 189\" target=\"_blank\">PubMed<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" data-track-action=\"google scholar reference\" data-track-value=\"google scholar reference\" data-track-label=\"link\" data-track-item_id=\"link\" rel=\"nofollow noopener\" aria-label=\"Google Scholar reference 189\" href=\"http:\/\/scholar.google.com\/scholar_lookup?&amp;title=Magnetization%20reversal%20in%20a%20novel%20gradient%20nanomaterial&amp;journal=Phys.%20Rev.%20Lett.&amp;doi=10.1103%2FPhysRevLett.96.077202&amp;volume=96&amp;publication_year=2006&amp;author=Ulbrich%2CTC\" target=\"_blank\"><br \/>\n                    Google Scholar<\/a>\u00a0\n                <\/p>\n<\/li>\n<li class=\"c-article-references__item js-c-reading-companion-references-item\" data-counter=\"190.\">\n<p class=\"c-article-references__text\" id=\"ref-CR190\">Kovacs, A. et al. Learning magnetization dynamics. J. Magn. Magn. Mater. <b>491<\/b>, 165548 (2019).<\/p>\n<p class=\"c-article-references__links u-hide-print\"><a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"10.1016\/j.jmmm.2019.165548\" data-track-item_id=\"10.1016\/j.jmmm.2019.165548\" data-track-value=\"article reference\" data-track-action=\"article reference\" href=\"https:\/\/doi.org\/10.1016%2Fj.jmmm.2019.165548\" aria-label=\"Article reference 190\" data-doi=\"10.1016\/j.jmmm.2019.165548\" target=\"_blank\">Article<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"link\" data-track-item_id=\"link\" data-track-value=\"cas reference\" data-track-action=\"cas reference\" href=\"https:\/\/www.nature.com\/articles\/cas-redirect\/1:CAS:528:DC%2BC1MXhtlOnsL7I\" aria-label=\"CAS reference 190\" target=\"_blank\">CAS<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" data-track-action=\"google scholar reference\" data-track-value=\"google scholar reference\" data-track-label=\"link\" data-track-item_id=\"link\" rel=\"nofollow noopener\" aria-label=\"Google Scholar reference 190\" href=\"http:\/\/scholar.google.com\/scholar_lookup?&amp;title=Learning%20magnetization%20dynamics&amp;journal=J.%20Magn.%20Magn.%20Mater.&amp;doi=10.1016%2Fj.jmmm.2019.165548&amp;volume=491&amp;publication_year=2019&amp;author=Kovacs%2CA\" target=\"_blank\"><br \/>\n                    Google Scholar<\/a>\u00a0\n                <\/p>\n<\/li>\n<li class=\"c-article-references__item js-c-reading-companion-references-item\" data-counter=\"191.\">\n<p class=\"c-article-references__text\" id=\"ref-CR191\">Kovacs, A. et al. Magnetostatics and micromagnetics with physics informed neural networks. J. Magn. Magn. Mater. <b>548<\/b>, 168951 (2022).<\/p>\n<p class=\"c-article-references__links u-hide-print\"><a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"10.1016\/j.jmmm.2021.168951\" data-track-item_id=\"10.1016\/j.jmmm.2021.168951\" data-track-value=\"article reference\" data-track-action=\"article reference\" href=\"https:\/\/doi.org\/10.1016%2Fj.jmmm.2021.168951\" aria-label=\"Article reference 191\" data-doi=\"10.1016\/j.jmmm.2021.168951\" target=\"_blank\">Article<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"link\" data-track-item_id=\"link\" data-track-value=\"cas reference\" data-track-action=\"cas reference\" href=\"https:\/\/www.nature.com\/articles\/cas-redirect\/1:CAS:528:DC%2BB38XntlOntQ%3D%3D\" aria-label=\"CAS reference 191\" target=\"_blank\">CAS<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" data-track-action=\"google scholar reference\" data-track-value=\"google scholar reference\" data-track-label=\"link\" data-track-item_id=\"link\" rel=\"nofollow noopener\" aria-label=\"Google Scholar reference 191\" href=\"http:\/\/scholar.google.com\/scholar_lookup?&amp;title=Magnetostatics%20and%20micromagnetics%20with%20physics%20informed%20neural%20networks&amp;journal=J.%20Magn.%20Magn.%20Mater.&amp;doi=10.1016%2Fj.jmmm.2021.168951&amp;volume=548&amp;publication_year=2022&amp;author=Kovacs%2CA\" target=\"_blank\"><br \/>\n                    Google Scholar<\/a>\u00a0\n                <\/p>\n<\/li>\n<li class=\"c-article-references__item js-c-reading-companion-references-item\" data-counter=\"192.\">\n<p class=\"c-article-references__text\" id=\"ref-CR192\">Wang, Q., Chumak, A. V. &amp; Pirro, P. Inverse-design magnonic devices. Nat. Commun. <b>12<\/b>, 2636 (2021).<\/p>\n<p class=\"c-article-references__links u-hide-print\"><a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"10.1038\/s41467-021-22897-4\" data-track-item_id=\"10.1038\/s41467-021-22897-4\" data-track-value=\"article reference\" data-track-action=\"article reference\" href=\"https:\/\/doi.org\/10.1038%2Fs41467-021-22897-4\" aria-label=\"Article reference 192\" data-doi=\"10.1038\/s41467-021-22897-4\" target=\"_blank\">Article<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"link\" data-track-item_id=\"link\" data-track-value=\"cas reference\" data-track-action=\"cas reference\" href=\"https:\/\/www.nature.com\/articles\/cas-redirect\/1:CAS:528:DC%2BB3MXhtFWgt7nO\" aria-label=\"CAS reference 192\" target=\"_blank\">CAS<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"link\" data-track-item_id=\"link\" data-track-value=\"pubmed reference\" data-track-action=\"pubmed reference\" href=\"http:\/\/www.ncbi.nlm.nih.gov\/entrez\/query.fcgi?cmd=Retrieve&amp;db=PubMed&amp;dopt=Abstract&amp;list_uids=33976137\" aria-label=\"PubMed reference 192\" target=\"_blank\">PubMed<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"link\" data-track-item_id=\"link\" data-track-value=\"pubmed central reference\" data-track-action=\"pubmed central reference\" href=\"http:\/\/www.ncbi.nlm.nih.gov\/pmc\/articles\/PMC8113576\" aria-label=\"PubMed Central reference 192\" target=\"_blank\">PubMed Central<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" data-track-action=\"google scholar reference\" data-track-value=\"google scholar reference\" data-track-label=\"link\" data-track-item_id=\"link\" rel=\"nofollow noopener\" aria-label=\"Google Scholar reference 192\" href=\"http:\/\/scholar.google.com\/scholar_lookup?&amp;title=Inverse-design%20magnonic%20devices&amp;journal=Nat.%20Commun.&amp;doi=10.1038%2Fs41467-021-22897-4&amp;volume=12&amp;publication_year=2021&amp;author=Wang%2CQ&amp;author=Chumak%2CAV&amp;author=Pirro%2CP\" target=\"_blank\"><br \/>\n                    Google Scholar<\/a>\u00a0\n                <\/p>\n<\/li>\n<li class=\"c-article-references__item js-c-reading-companion-references-item\" data-counter=\"193.\">\n<p class=\"c-article-references__text\" id=\"ref-CR193\">Abert, C. et al. NeuralMag: an open-source nodal finite-difference code for inverse micromagnetics. npj Comput. Mater. <b>11<\/b>, 193 (2025).<\/p>\n<p class=\"c-article-references__links u-hide-print\"><a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"10.1038\/s41524-025-01688-1\" data-track-item_id=\"10.1038\/s41524-025-01688-1\" data-track-value=\"article reference\" data-track-action=\"article reference\" href=\"https:\/\/doi.org\/10.1038%2Fs41524-025-01688-1\" aria-label=\"Article reference 193\" data-doi=\"10.1038\/s41524-025-01688-1\" target=\"_blank\">Article<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"link\" data-track-item_id=\"link\" data-track-value=\"cas reference\" data-track-action=\"cas reference\" href=\"https:\/\/www.nature.com\/articles\/cas-redirect\/1:CAS:528:DC%2BB2MXisVCgsrzF\" aria-label=\"CAS reference 193\" target=\"_blank\">CAS<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"link\" data-track-item_id=\"link\" data-track-value=\"pubmed reference\" data-track-action=\"pubmed reference\" href=\"http:\/\/www.ncbi.nlm.nih.gov\/entrez\/query.fcgi?cmd=Retrieve&amp;db=PubMed&amp;dopt=Abstract&amp;list_uids=40552212\" aria-label=\"PubMed reference 193\" target=\"_blank\">PubMed<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"link\" data-track-item_id=\"link\" data-track-value=\"pubmed central reference\" data-track-action=\"pubmed central reference\" href=\"http:\/\/www.ncbi.nlm.nih.gov\/pmc\/articles\/PMC12182442\" aria-label=\"PubMed Central reference 193\" target=\"_blank\">PubMed Central<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" data-track-action=\"google scholar reference\" data-track-value=\"google scholar reference\" data-track-label=\"link\" data-track-item_id=\"link\" rel=\"nofollow noopener\" aria-label=\"Google Scholar reference 193\" href=\"http:\/\/scholar.google.com\/scholar_lookup?&amp;title=NeuralMag%3A%20an%20open-source%20nodal%20finite-difference%20code%20for%20inverse%20micromagnetics&amp;journal=npj%20Comput.%20Mater.&amp;doi=10.1038%2Fs41524-025-01688-1&amp;volume=11&amp;publication_year=2025&amp;author=Abert%2CC\" target=\"_blank\"><br \/>\n                    Google Scholar<\/a>\u00a0\n                <\/p>\n<\/li>\n<li class=\"c-article-references__item js-c-reading-companion-references-item\" data-counter=\"194.\">\n<p class=\"c-article-references__text\" id=\"ref-CR194\">Zenbaa, N. et al. Realization of inverse-design magnonic logic gates. Sci. Adv. <b>11<\/b>, eadu9032 (2025).<\/p>\n<p class=\"c-article-references__links u-hide-print\"><a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"10.1126\/sciadv.adu9032\" data-track-item_id=\"10.1126\/sciadv.adu9032\" data-track-value=\"article reference\" data-track-action=\"article reference\" href=\"https:\/\/doi.org\/10.1126%2Fsciadv.adu9032\" aria-label=\"Article reference 194\" data-doi=\"10.1126\/sciadv.adu9032\" target=\"_blank\">Article<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"link\" data-track-item_id=\"link\" data-track-value=\"cas reference\" data-track-action=\"cas reference\" href=\"https:\/\/www.nature.com\/articles\/cas-redirect\/1:CAS:528:DC%2BB2MXht1Oku7jN\" aria-label=\"CAS reference 194\" target=\"_blank\">CAS<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"link\" data-track-item_id=\"link\" data-track-value=\"pubmed reference\" data-track-action=\"pubmed reference\" href=\"http:\/\/www.ncbi.nlm.nih.gov\/entrez\/query.fcgi?cmd=Retrieve&amp;db=PubMed&amp;dopt=Abstract&amp;list_uids=40397755\" aria-label=\"PubMed reference 194\" target=\"_blank\">PubMed<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"link\" data-track-item_id=\"link\" data-track-value=\"pubmed central reference\" data-track-action=\"pubmed central reference\" href=\"http:\/\/www.ncbi.nlm.nih.gov\/pmc\/articles\/PMC12094216\" aria-label=\"PubMed Central reference 194\" target=\"_blank\">PubMed Central<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" data-track-action=\"google scholar reference\" data-track-value=\"google scholar reference\" data-track-label=\"link\" data-track-item_id=\"link\" rel=\"nofollow noopener\" aria-label=\"Google Scholar reference 194\" href=\"http:\/\/scholar.google.com\/scholar_lookup?&amp;title=Realization%20of%20inverse-design%20magnonic%20logic%20gates&amp;journal=Sci.%20Adv.&amp;doi=10.1126%2Fsciadv.adu9032&amp;volume=11&amp;publication_year=2025&amp;author=Zenbaa%2CN\" target=\"_blank\"><br \/>\n                    Google Scholar<\/a>\u00a0\n                <\/p>\n<\/li>\n<li class=\"c-article-references__item js-c-reading-companion-references-item\" data-counter=\"195.\">\n<p class=\"c-article-references__text\" id=\"ref-CR195\">Raftrey, D. et al. Curvature induced modifications of chirality and magnetic configuration in perpendicular films. ACS Nano <b>19<\/b>, 31609\u201331618 (2025).<\/p>\n<p class=\"c-article-references__links u-hide-print\"><a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"10.1021\/acsnano.5c08926\" data-track-item_id=\"10.1021\/acsnano.5c08926\" data-track-value=\"article reference\" data-track-action=\"article reference\" href=\"https:\/\/doi.org\/10.1021%2Facsnano.5c08926\" aria-label=\"Article reference 195\" data-doi=\"10.1021\/acsnano.5c08926\" target=\"_blank\">Article<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"link\" data-track-item_id=\"link\" data-track-value=\"cas reference\" data-track-action=\"cas reference\" href=\"https:\/\/www.nature.com\/articles\/cas-redirect\/1:CAS:528:DC%2BB2MXitVWntrfE\" aria-label=\"CAS reference 195\" target=\"_blank\">CAS<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"link\" data-track-item_id=\"link\" data-track-value=\"pubmed reference\" data-track-action=\"pubmed reference\" href=\"http:\/\/www.ncbi.nlm.nih.gov\/entrez\/query.fcgi?cmd=Retrieve&amp;db=PubMed&amp;dopt=Abstract&amp;list_uids=40785245\" aria-label=\"PubMed reference 195\" target=\"_blank\">PubMed<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"link\" data-track-item_id=\"link\" data-track-value=\"pubmed central reference\" data-track-action=\"pubmed central reference\" href=\"http:\/\/www.ncbi.nlm.nih.gov\/pmc\/articles\/PMC12424293\" aria-label=\"PubMed Central reference 195\" target=\"_blank\">PubMed Central<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" data-track-action=\"google scholar reference\" data-track-value=\"google scholar reference\" data-track-label=\"link\" data-track-item_id=\"link\" rel=\"nofollow noopener\" aria-label=\"Google Scholar reference 195\" href=\"http:\/\/scholar.google.com\/scholar_lookup?&amp;title=Curvature%20induced%20modifications%20of%20chirality%20and%20magnetic%20configuration%20in%20perpendicular%20films&amp;journal=ACS%20Nano&amp;doi=10.1021%2Facsnano.5c08926&amp;volume=19&amp;pages=31609-31618&amp;publication_year=2025&amp;author=Raftrey%2CD\" target=\"_blank\"><br \/>\n                    Google Scholar<\/a>\u00a0\n                <\/p>\n<\/li>\n<li class=\"c-article-references__item js-c-reading-companion-references-item\" data-counter=\"196.\">\n<p class=\"c-article-references__text\" id=\"ref-CR196\">Gubbiotti, G. (ed.) Three-Dimensional Magnonics: Layered, Micro- and Nanostructures (Jenny Stanford, 2019).<\/p>\n<\/li>\n<li class=\"c-article-references__item js-c-reading-companion-references-item\" data-counter=\"197.\">\n<p class=\"c-article-references__text\" id=\"ref-CR197\">Zhang, Y. et al. Strain-driven Dzyaloshinskii\u2013Moriya interaction for room-temperature magnetic skyrmions. Phys. Rev. Lett. <b>127<\/b>, 117204 (2021).<\/p>\n<p class=\"c-article-references__links u-hide-print\"><a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"10.1103\/PhysRevLett.127.117204\" data-track-item_id=\"10.1103\/PhysRevLett.127.117204\" data-track-value=\"article reference\" data-track-action=\"article reference\" href=\"https:\/\/doi.org\/10.1103%2FPhysRevLett.127.117204\" aria-label=\"Article reference 197\" data-doi=\"10.1103\/PhysRevLett.127.117204\" target=\"_blank\">Article<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"link\" data-track-item_id=\"link\" data-track-value=\"cas reference\" data-track-action=\"cas reference\" href=\"https:\/\/www.nature.com\/articles\/cas-redirect\/1:CAS:528:DC%2BB3MXitFGntbvJ\" aria-label=\"CAS reference 197\" target=\"_blank\">CAS<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"link\" data-track-item_id=\"link\" data-track-value=\"pubmed reference\" data-track-action=\"pubmed reference\" href=\"http:\/\/www.ncbi.nlm.nih.gov\/entrez\/query.fcgi?cmd=Retrieve&amp;db=PubMed&amp;dopt=Abstract&amp;list_uids=34558947\" aria-label=\"PubMed reference 197\" target=\"_blank\">PubMed<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" data-track-action=\"google scholar reference\" data-track-value=\"google scholar reference\" data-track-label=\"link\" data-track-item_id=\"link\" rel=\"nofollow noopener\" aria-label=\"Google Scholar reference 197\" href=\"http:\/\/scholar.google.com\/scholar_lookup?&amp;title=Strain-driven%20Dzyaloshinskii%E2%80%93Moriya%20interaction%20for%20room-temperature%20magnetic%20skyrmions&amp;journal=Phys.%20Rev.%20Lett.&amp;doi=10.1103%2FPhysRevLett.127.117204&amp;volume=127&amp;publication_year=2021&amp;author=Zhang%2CY\" target=\"_blank\"><br \/>\n                    Google Scholar<\/a>\u00a0\n                <\/p>\n<\/li>\n<li class=\"c-article-references__item js-c-reading-companion-references-item\" data-counter=\"198.\">\n<p class=\"c-article-references__text\" id=\"ref-CR198\">Christienne, L. et al. Nonreciprocal spin-wave propagation in anisotropy-graded iron films prepared by nitrogen implantation. Phys. Rev. Appl. <b>24<\/b>, 064040 (2025).<\/p>\n<p class=\"c-article-references__links u-hide-print\"><a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"10.1103\/1qrj-gtjb\" data-track-item_id=\"10.1103\/1qrj-gtjb\" data-track-value=\"article reference\" data-track-action=\"article reference\" href=\"https:\/\/doi.org\/10.1103%2F1qrj-gtjb\" aria-label=\"Article reference 198\" data-doi=\"10.1103\/1qrj-gtjb\" target=\"_blank\">Article<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"link\" data-track-item_id=\"link\" data-track-value=\"cas reference\" data-track-action=\"cas reference\" href=\"https:\/\/www.nature.com\/articles\/cas-redirect\/1:CAS:528:DC%2BB28XitFamtLo%3D\" aria-label=\"CAS reference 198\" target=\"_blank\">CAS<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" data-track-action=\"google scholar reference\" data-track-value=\"google scholar reference\" data-track-label=\"link\" data-track-item_id=\"link\" rel=\"nofollow noopener\" aria-label=\"Google Scholar reference 198\" href=\"http:\/\/scholar.google.com\/scholar_lookup?&amp;title=Nonreciprocal%20spin-wave%20propagation%20in%20anisotropy-graded%20iron%20films%20prepared%20by%20nitrogen%20implantation&amp;journal=Phys.%20Rev.%20Appl.&amp;doi=10.1103%2F1qrj-gtjb&amp;volume=24&amp;publication_year=2025&amp;author=Christienne%2CL\" target=\"_blank\"><br \/>\n                    Google Scholar<\/a>\u00a0\n                <\/p>\n<\/li>\n<li class=\"c-article-references__item js-c-reading-companion-references-item\" data-counter=\"199.\">\n<p class=\"c-article-references__text\" id=\"ref-CR199\">Yershov, K. V. &amp; Sheka, D. D. Control of magnetic response in curved stripes by tailoring the cross section. Phys. Rev. B <b>107<\/b>, L100415 (2023).<\/p>\n<p class=\"c-article-references__links u-hide-print\"><a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"10.1103\/PhysRevB.107.L100415\" data-track-item_id=\"10.1103\/PhysRevB.107.L100415\" data-track-value=\"article reference\" data-track-action=\"article reference\" href=\"https:\/\/doi.org\/10.1103%2FPhysRevB.107.L100415\" aria-label=\"Article reference 199\" data-doi=\"10.1103\/PhysRevB.107.L100415\" target=\"_blank\">Article<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"link\" data-track-item_id=\"link\" data-track-value=\"cas reference\" data-track-action=\"cas reference\" href=\"https:\/\/www.nature.com\/articles\/cas-redirect\/1:CAS:528:DC%2BB3sXosFOktbw%3D\" aria-label=\"CAS reference 199\" target=\"_blank\">CAS<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" data-track-action=\"google scholar reference\" data-track-value=\"google scholar reference\" data-track-label=\"link\" data-track-item_id=\"link\" rel=\"nofollow noopener\" aria-label=\"Google Scholar reference 199\" href=\"http:\/\/scholar.google.com\/scholar_lookup?&amp;title=Control%20of%20magnetic%20response%20in%20curved%20stripes%20by%20tailoring%20the%20cross%20section&amp;journal=Phys.%20Rev.%20B&amp;doi=10.1103%2FPhysRevB.107.L100415&amp;volume=107&amp;publication_year=2023&amp;author=Yershov%2CKV&amp;author=Sheka%2CDD\" target=\"_blank\"><br \/>\n                    Google Scholar<\/a>\u00a0\n                <\/p>\n<\/li>\n","protected":false},"excerpt":{"rendered":"DeWitt, B. S. Dynamical theory in curved spaces. I. A review of the classical and quantum action principles.&hellip;\n","protected":false},"author":3,"featured_media":998993,"comment_status":"","ping_status":"","sticky":false,"template":"","format":"standard","meta":{"footnotes":"","_share_on_mastodon":"0"},"categories":[25],"tags":[237658,834,139684,2262,19533,26986,49487,492,159,67,132,68],"class_list":["post-998992","post","type-post","status-publish","format-standard","has-post-thumbnail","category-physics","tag-ferromagnetism","tag-general","tag-magnetic-devices","tag-magnetic-properties-and-materials","tag-materials-science","tag-nanotechnology","tag-nanotechnology-and-microengineering","tag-physics","tag-science","tag-united-states","tag-unitedstates","tag-us"],"share_on_mastodon":{"url":"https:\/\/pubeurope.com\/@us\/117090508219090450","error":""},"_links":{"self":[{"href":"https:\/\/www.europesays.com\/us\/wp-json\/wp\/v2\/posts\/998992","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.europesays.com\/us\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.europesays.com\/us\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.europesays.com\/us\/wp-json\/wp\/v2\/users\/3"}],"replies":[{"embeddable":true,"href":"https:\/\/www.europesays.com\/us\/wp-json\/wp\/v2\/comments?post=998992"}],"version-history":[{"count":0,"href":"https:\/\/www.europesays.com\/us\/wp-json\/wp\/v2\/posts\/998992\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.europesays.com\/us\/wp-json\/wp\/v2\/media\/998993"}],"wp:attachment":[{"href":"https:\/\/www.europesays.com\/us\/wp-json\/wp\/v2\/media?parent=998992"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.europesays.com\/us\/wp-json\/wp\/v2\/categories?post=998992"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.europesays.com\/us\/wp-json\/wp\/v2\/tags?post=998992"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}