• Sun, H. et al. Signatures of superconductivity near 80 K in a nickelate under high pressure. Nature 621, 493–498 (2023).

    Article 
    CAS 
    PubMed 

    Google Scholar
     

  • Hou, J. et al. Emergence of high-temperature superconducting phase in pressurized La3Ni2O7 crystals. Chin. Phys. Lett. 40, 117302 (2023).

    Article 
    CAS 

    Google Scholar
     

  • Zhang, Y. et al. High-temperature superconductivity with zero resistance and strange-metal behaviour in La3Ni2O7−δ. Nat. Phys. 20, 1269–1273 (2024).

    Article 
    CAS 

    Google Scholar
     

  • Wang, N. et al. Bulk high-temperature superconductivity in pressurized tetragonal La2PrNi2O7. Nature 634, 579–584 (2024).

    Article 
    CAS 
    PubMed 

    Google Scholar
     

  • Wang, G. et al. Pressure-induced superconductivity in polycrystalline La3Ni2O7−δ. Phys. Rev. X 14, 011040 (2024).

    CAS 

    Google Scholar
     

  • Dong, Z. et al. Visualization of oxygen vacancies and self-doped ligand holes in La3Ni2O7−δ. Nature 634, 579–584 (2024).

    Article 
    PubMed 

    Google Scholar
     

  • Yang, J. et al. Orbital-dependent electron correlation in double-layer La3Ni2O7−δ. Nat. Commun. 15, 4373 (2024).

    Article 
    CAS 
    PubMed 
    PubMed Central 

    Google Scholar
     

  • Chen, X. et al. Electronic and magnetic excitations in La3Ni2O7. Nat. Commun. 15, 9597 (2024).

    Article 
    CAS 
    PubMed 
    PubMed Central 

    Google Scholar
     

  • Sakakibara, H. et al. Theoretical analysis on the possibility of superconductivity in the trilayer Ruddlesden–Popper nickelate La4Ni3O10 under pressure and its experimental examination: comparison with La3Ni2O7. Phys. Rev. B 109, 144511 (2024).

    Article 
    CAS 

    Google Scholar
     

  • Zhu, Y. et al. Superconductivity in pressurized trilayer La4Ni3O10−δ single crystals. Nature 631, 531–536 (2024).

    Article 
    CAS 
    PubMed 

    Google Scholar
     

  • Nakata, M., Ogura, D., Usui, H. & Kuroki, K. Finite-energy spin fluctuations as a pairing glue in systems with coexisting electron and hole bands. Phys. Rev. B 95, 214509 (2017).

    Article 

    Google Scholar
     

  • Maier, T. A., Mishra, V., Balduzzi, G. & Scalapino, D. J. Effective pairing interaction in a system with an incipient band. Phys. Rev. B 99, 140504(R) (2019).

    Article 

    Google Scholar
     

  • Sakakibara, H., Kitamine, N., Ochi, M. & Kuroki, K. Possible high Tc superconductivity in La3Ni2O7 under high pressure through manifestation of a nearly half-filled bilayer Hubbard model. Phys. Rev. Lett. 132, 106002 (2024).

    Article 
    CAS 
    PubMed 

    Google Scholar
     

  • Bednorz, B. G. & Müller, K. A. Possible highTc superconductivity in the Ba–La–Cu–O system. Z. Phys. B Condens. Matter 64, 189–193 (1986).

    Article 
    CAS 

    Google Scholar
     

  • Keimer, B., Kivelson, S. A., Norman, M. R., Uchida, S. & Zaanen, J. From quantum matter to high-temperature superconductivity in copper oxides. Nature 518, 179–186 (2015).

    Article 
    CAS 
    PubMed 

    Google Scholar
     

  • Fernandes, R. M. et al. Iron pnictides and chalcogenides: a new paradigm for superconductivity. Nature 601, 35–44 (2022).

    Article 
    CAS 
    PubMed 

    Google Scholar
     

  • Ko, E. K. et al. Signatures of ambient pressure superconductivity in thin film La3Ni2O7. Nature 638, 935–940 (2025).

    Article 
    CAS 
    PubMed 

    Google Scholar
     

  • Zhou, G. et al. Ambient-pressure superconductivity onset above 40 K in (La,Pr)3Ni2O7 films. Nature 640, 641–646 (2025).

    Article 
    CAS 
    PubMed 

    Google Scholar
     

  • Yidi, L. et al. Superconductivity and normal-state transport in compressively strained La2PrNi2O7 thin films. Nat. Mater. 24, 1221–1227 (2025).

    Article 

    Google Scholar
     

  • Bhatt, L. et al. Structural modifications in strain-engineered bilayer nickelate thin films. Nature 653, 76–82 (2026).

    Article 
    CAS 
    PubMed 
    PubMed Central 

    Google Scholar
     

  • Li, P. et al. Angle-resolved photoemission spectroscopy of superconducting (La,Pr)3Ni2O7/SrLaAlO4 heterostructures. Natl Sci. Rev. 12, nwaf205 (2025).

    Article 
    CAS 
    PubMed 
    PubMed Central 

    Google Scholar
     

  • Wang, B. Y. et al. Electronic structure of compressively strained bilayer nickelate thin film. Phys. Rev. X 16, 031008 (2026).


    Google Scholar
     

  • Shannon, R. D. Revised effective ionic radii and systematic studies of interatomic distances in halides and chalcogenides. Acta Crystallogr. A 32, 751–767 (1976).

    Article 

    Google Scholar
     

  • Li, F. et al. Bulk superconductivity up to 96 K in pressurized nickelate single crystals. Nature 649, 871–878 (2026).

    Article 
    CAS 
    PubMed 

    Google Scholar
     

  • Zhuo, G. et al. Superconductivity onset above 60 K in ambient-pressure nickelate films. Natl Sci. Rev. 13, nwag151 (2026).

    Article 

    Google Scholar
     

  • Hwang, H. Y. et al. Scaling of the temperature dependent Hall effect in La2−xSrxCuO4. Phys. Rev. Lett. 72, 2636–2639 (1994).

    Article 
    CAS 
    PubMed 

    Google Scholar
     

  • Michon, B. et al. Thermodynamic signatures of quantum criticality in cuprate superconductors. Nature 567, 210–222 (2019).

    Article 

    Google Scholar
     

  • Jiang, X. et al. Interplay between superconductivity and the strange-metal state in FeSe. Nat. Phys. 19, 365–371 (2023).

    Article 
    CAS 

    Google Scholar
     

  • Abrikosov, A. A. & Gor’kov, L. P. Spin–orbit interaction and the Knight shift in superconductors. Sov. Phys. JETP 15, 752–757 (1962).


    Google Scholar
     

  • Maki, K. & Tsuneto, T. Pauli paramagnetism and superconducting state. Prog. Theor. Phys. 31, 945–956 (1964).

    Article 

    Google Scholar
     

  • Osada, M. et al. Strain-tuning for superconductivity in La3Ni2O7 thin films. Commun. Phys. 8, 251 (2025).

    Article 
    CAS 

    Google Scholar
     

  • Wang, N. N. et al. Pressure-induced monotonic enhancement of Tc to over 30 K in superconducting Pr0.82Sr0.18NiO2 thin films. Nat. Commun. 13, 4367 (2022).

    Article 
    CAS 
    PubMed 
    PubMed Central 

    Google Scholar
     

  • Li, Y., Wang, E., Zhu, X. & Wen, H.-H. Pressure-induced superconductivity in Bi single crystals. Phys. Rev. B 95, 024510 (2017).

    Article 

    Google Scholar
     

  • Geisler, B., Hamlin, J. J., Stewart, G. R., Hennig, R. G. & Hirschfeld, P. J. Fermi surface reconstruction and enhanced spin fluctuations in strained La3Ni2O7 on LaAlO3(001) and SrTiO3(001). Phys. Rev. B 112, L100506 (2025).

    Article 
    CAS 

    Google Scholar
     

  • Oh, H. et al. High spin, low spin or gapped spins: magnetism in the bilayer nickelates. Phys. Rev. B 113, 024430 (2026).

    Article 
    CAS 

    Google Scholar
     

  • Fan, S. et al. Single-particle tunneling spectrum with a robust superconducting gap in La2PrNi2O7 thin films at ambient pressure. Sci. Adv. 12, aeg2429 (2026).

    Article 

    Google Scholar
     

  • Zhao, Y.-F. & Botana, A. S. Electronic structure of Ruddlesden–Popper nickelates: strain to mimic the effects pressure. Phys. Rev. B 111, 115154 (2025).

    Article 
    CAS 

    Google Scholar
     

  • Hsu, Y.-T. et al. Fermi-liquid transport beyond the upper critical field in superconducting La2PrNi2O7 thin films. Nat. Commun. 17, 3760 (2026).

    Article 
    CAS 
    PubMed 
    PubMed Central 

    Google Scholar
     

  • Li, Q. et al. Enhanced superconductivity in the compressively strained bilayer nickelate thin films by pressure. Nat. Commun. 17, 3276 (2026).

    Article 
    CAS 
    PubMed 
    PubMed Central 

    Google Scholar
     

  • Ji, H. et al. Time-reversal symmetry breaking superconductivity with electronic glass in nickelate (La, Pr, Sm)3Ni2O7 films. Preprint at https://arxiv.org/abs/2508.16412 (2025).

  • Han, Z., Xiang, L., Zhou, X. J. & Zhu, Z. Granular superconductivity in La2PrNi2O7−δ. Preprint at https://arxiv.org/abs/2604.07807 (2026).

  • Momma, K. & Izumi, F. Vesta 3 for three-dimensional visualization of crystal, volumetric and morphology data. J. Appl. Crystallogr. 44, 1272–1276 (2011).

    Article 
    CAS 

    Google Scholar
     

  • Giannozzi, P. et al. QUANTUM ESPRESSO: a modular and open-source software project for quantum simulations of materials. J. Phys. Condens. Matter 21, 395502 (2009).

    Article 
    PubMed 

    Google Scholar
     

  • Giannozzi, P. et al. Advanced capabilities for materials modelling with QUANTUM ESPRESSO. J. Phys. Condens. Matter 29, 465901 (2017).

    Article 
    CAS 
    PubMed 

    Google Scholar
     

  • Perdew, J. P., Burke, K. & Ernzerhof, M. Generalized gradient approximation made simple. Phys. Rev. Lett. 77, 3865–3868 (1996).

    Article 
    CAS 
    PubMed 

    Google Scholar
     

  • Hamann, D. R. Optimized norm-conserving Vanderbilt pseudopotentials. Phys. Rev. B 88, 085117 (2013).

    Article 

    Google Scholar
     

  • Schlipf, M. & Gygi, F. Optimization algorithm for the generation of ONCV pseudopotentials. Comput. Phys. Commun. 196, 36–44 (2015).

    Article 
    CAS 

    Google Scholar
     

  • Nakamura, K. et al. RESPACK: An ab initio tool for derivation of effective low-energy model of material. Comput. Phys. Commun. 261, 107781 (2021).

    Article 
    CAS 

    Google Scholar
     

  • Morée, J.-B., Hirayama, M., Schmid, M. T., Yamaji, Y. & Imada, M. Ab initio low-energy effective Hamiltonians for the high-temperature superconducting cuprates Bi2Sr2CuO6, Bi2Sr2CaCu2O8, HgBa2CuO4, and CaCuO2. Phys. Rev. B 106, 235150 (2022).

    Article 

    Google Scholar
     

  • Miyake, T., Aryasetiawan, F. & Imada, M. Ab initio procedure for constructing effective models of correlated materials with entangled band structure. Phys. Rev. B 80, 155134 (2009).

    Article 

    Google Scholar
     

  • Morée, J.-B. & Arita, R. Universal chemical formula dependence of ab initio low-energy effective Hamiltonian in single-layer carrier-doped cuprate superconductors: study using a hierarchical dependence extraction algorithm. Phys. Rev. B 110, 014502 (2024).

    Article 

    Google Scholar
     

  • Morée, J.-B., Yamaji, Y. & Imada, M. Dome structure in pressure dependence of superconducting transition temperature for HgBa2Ca2Cu3O8: studies by ab initio low-energy effective Hamiltonian. Phys. Rev. Res. 6, 023163 (2024).

    Article 

    Google Scholar
     

  • Kawamura, M. FermiSurfer: Fermi-surface viewer providing multiple representation schemes. Comput. Phys. Commun. 239, 197–203 (2019).

    Article 
    CAS 

    Google Scholar