Yin, J.-X., Lian, B. & Hasan, M. Z. Topological kagome magnets and superconductors. Nature 612, 647–657 (2022).
Nie, L. et al. Charge-density-wave-driven electronic nematicity in a kagome superconductor. Nature 604, 59–64 (2022).
Broholm, C. et al. Quantum spin liquids. Science 367, eaay0668 (2020).
Liu, Y. et al. Superconductivity under pressure in a chromium-based kagome metal. Nature 632, 1032–1037 (2024).
Chen, T. et al. Large anomalous Nernst effect and nodal plane in an iron-based kagome ferromagnet. Sci. Adv. 8, eabk1480 (2022).
Asaba, T. et al. Colossal anomalous Nernst effect in a correlated noncentrosymmetric kagome ferromagnet. Sci. Adv. 7, eabf1467 (2021).
Zhao, L.-D. et al. Ultrahigh power factor and thermoelectric performance in hole-doped single-crystal SnSe. Science 351, 141–144 (2016).
Pan, Y. et al. Giant anomalous Nernst signal in the antiferromagnet YbMnBi2. Nat. Mater. 21, 203–209 (2021).
Hu, H. et al. Highly stabilized and efficient thermoelectric copper selenide. Nat. Mater. 23, 527–534 (2024).
Tan, G., Zhao, L.-D. & Kanatzidis, M. G. Rationally designing high-performance bulk thermoelectric materials. Chem. Rev. 116, 12123–12149 (2016).
Sakai, A. et al. Giant anomalous Nernst effect and quantum-critical scaling in a ferromagnetic semimetal. Nat. Phys. 14, 1119–1124 (2018).
Sakai, A. et al. Iron-based binary ferromagnets for transverse thermoelectric conversion. Nature 581, 53–57 (2020).
Ikhlas, M. et al. Large anomalous Nernst effect at room temperature in a chiral antiferromagnet. Nat. Phys. 13, 1085–1090 (2017).
Uchida, K.-i. & Heremans, J. P. Thermoelectrics: from longitudinal to transverse. Joule 6, 2240–2245 (2022).
Hu, H. et al. Multipocket synergy towards high thermoelectric performance in topological semimetal TaAs2. Nat. Commun. 16, 119 (2025).
Guin, S. N. et al. Zero-field Nernst effect in a ferromagnetic kagome-lattice Weyl-semimetal Co3Sn2S2. Adv. Mater. 31, 1806622 (2019).
Manako, H., Ohsumi, S., Sato, Y. J., Okazaki, R. & Aoki, D. Large transverse thermoelectric effect induced by the mixed-dimensionality of Fermi surfaces. Nat. Commun. 15, 3907 (2024).
He, B. et al. The Fermi surface geometrical origin of axis-dependent conduction polarity in layered materials. Nat. Mater. 18, 568–572 (2019).
Roychowdhury, S. et al. Large room temperature anomalous transverse thermoelectric effect in kagome antiferromagnet YMn6Sn6. Adv. Mater. 34, 2201350 (2022).
Zhang, H. et al. Exchange-biased topological transverse thermoelectric effects in a kagome ferrimagnet. Nat. Commun. 13, 1091 (2022).
Xu, X. et al. Topological charge-entropy scaling in kagome Chern magnet TbMn6Sn6. Nat. Commun. 13, 1197 (2022).
Li, P. et al. Colossal Nernst power factor in topological semimetal NbSb2. Nat. Commun. 13, 7612 (2022).
Ochs, A. M. et al. Synergizing a large ordinary Nernst effect and axis-dependent conduction polarity in flat band KMgBi crystals. Adv. Mater. 36, 2308151 (2024).
Zhou, C., Birner, S., Tang, Y., Heinselman, K. & Grayson, M. Driving perpendicular heat flow: (p × n)-type transverse thermoelectrics for microscale and cryogenic Peltier cooling. Phys. Rev. Lett. 110, 227701 (2013).
Scudder, M. R. et al. Highly efficient transverse thermoelectric devices with Re4Si7 crystals. Energy Environ. Sci. 14, 4009–4017 (2021).
He, J. & Tritt, T. M. Advances in thermoelectric materials research: looking back and moving forward. Science 357, eaak9997 (2017).
Mahan, G. & Sofo, J. The best thermoelectric. Proc. Natl Acad. Sci. USA 93, 7436–7439 (1996).
Van Hove, L. The occurrence of singularities in the elastic frequency distribution of a crystal. Phys. Rev. 89, 1189 (1953).
Hu, T. et al. Optical spectroscopy and band structure calculations of the structural phase transition in the vanadium-based kagome metal ScV6Sn6. Phys. Rev. B 107, 165119 (2023).
Tan, H. & Yan, B. Abundant lattice instability in kagome metal ScV6Sn6. Phys. Rev. Lett. 130, 266402 (2023).
Korshunov, A. et al. Softening of a flat phonon mode in the kagome ScV6Sn6. Nat. Commun. 14, 6646 (2023).
Wang, Y. et al. The chemical design principles for axis-dependent conduction polarity. J. Am. Chem. Soc. 142, 2812–2822 (2020).
Yuan, N. F., Isobe, H. & Fu, L. Magic of high-order van Hove singularity. Nat. Commun. 10, 5769 (2019).
Jiang, B. et al. High-entropy-stabilized chalcogenides with high thermoelectric performance. Science 371, 830–834 (2021).
Kuga, K., Hirata, K., Matsunami, M. & Takeuchi, T. Huge Peltier conductivity in valence fluctuating material Yb3Si5. Appl. Phys. Lett. 123, 202201 (2023).
Li, M. et al. Large anomalous Nernst effects at room temperature in Fe3Pt thin films. Adv. Mater. 35, 2301339 (2023).
Gong, D. et al. Large asymmetric anomalous Nernst effect in the antiferromagnet SrIr0.8Sn0.2O3. Nat. Commun. 16, 2888 (2025).
Miura, A. et al. Observation of anomalous Ettingshausen effect and large transverse thermoelectric conductivity in permanent magnets. Appl. Phys. Lett. 115, 222403 (2019).
Hu, H. et al. Chemical bond engineering toward extraordinary power factor and service stability in thermoelectric copper selenide. Joule 8, 416–429 (2024).
Su, L. et al. High thermoelectric performance realized through manipulating layered phonon-electron decoupling. Science 375, 1385–1389 (2022).
Wuttke, C. et al. Berry curvature unravelled by the anomalous Nernst effect in Mn3Ge. Phys. Rev. B 100, 085111 (2019).
Uchida, K. I., Hirai, T., Ando, F. & Sepehri-Amin, H. Hybrid transverse magneto-thermoelectric cooling in artificially tilted multilayers. Adv. Energy Mater. 14, 2302375 (2023).
Germs, W. C., Guo, K., Janssen, R. & Kemerink, M. Unusual thermoelectric behavior indicating a hopping to bandlike transport transition in pentacene. Phys. Rev. Lett. 109, 016601 (2012).
Nord, M., Vullum, P. E., MacLaren, I., Tybell, T. & Holmestad, R. Atomap: a new software tool for the automated analysis of atomic resolution images using two-dimensional Gaussian fitting. Adv. Struct. Chem. Imaging 3, 9 (2017).
Brabers, J. H. V. J., Buschow, K. H. J. & Boer, F. R. Magnetic properties of RCr6Ge6 compounds. J. Alloys Compd. 205, 77–80 (1994).
Hohenberg, P. & Kohn, W. Inhomogeneous electron gas. Phys. Rev. 136, 864–871 (1964).
Kohn, W. & Sham, L. J. Self-consistent equations including exchange and correlation effects. Phys. Rev. 140, 1133–1138 (1965).
Kresse, G. & Furthmüller, J. Efficient iterative schemes for ab initio total-energy calculations using a plane-wave basis set. Phys. Rev. B 54, 11169–11186 (1996).
Kresse, G. & Furthmüller, J. Efficiency of ab-initio total energy calculations for metals and semiconductors using a plane-wave basis set. Comput. Mater. Sci. 6, 15–50 (1996).
Blöchl, P. E. Projector augmented-wave method. Phys. Rev. B 50, 17953–17979 (1994).
Perdew, J. P., Burke, K. & Ernzerhof, M. Generalized gradient approximation made simple. Phys. Rev. Lett. 77, 3865–3868 (1996).
Mostofi, A. A. et al. wannier90: a tool for obtaining maximally-localised Wannier functions. Comput. Phys. Commun. 178, 685–699 (2008).
Pizzi, G., Volja, D., Kozinsky, B., Fornari, M. & Marzari, N. BoltzWann: a code for the evaluation of thermoelectric and electronic transport properties with a maximally-localized Wannier functions basis. Comput. Phys. Commun. 185, 422–429 (2014).
Wu, Q., Zhang, S., Song, H.-F., Troyer, M. & Soluyanov, A. A. WannierTools: an open-source software package for novel topological materials. Comput. Phys. Commun. 224, 405–416 (2018).
Kawamura, M. FermiSurfer: Fermi-surface viewer providing multiple representation schemes. Comput. Phys. Commun. 239, 197–203 (2019).