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Interlayer interactions in La3Ni2O7 under pressure: From s± to dxy-wave superconductivity

Lauro B. Braz1, George B. Martins2, and Luis G. G. V. Dias da Silva1

Phys. Rev. Research 7, 033023 – Published 7 July, 2025

DOI: https://doi.org/10.1103/f4wf-56fl

Abstract

We investigate the role of interlayer interaction terms in the competition between different superconducting gap symmetries in the bilayer nickelate La3Ni2O7 under high pressure. We study a two-layer, two-orbital electron model that encompasses both intra- and interlayer Coulomb interaction terms within the matrix random-phase approximation. We find that interlayer interactions favor a dxy-wave superconducting pairing symmetry over the s±-wave symmetry, which has been found to prevail when interlayer interactions are disregarded. Moreover, our findings indicate that interlayer interactions enhance the interorbital pairing, incorporating contributions from all three electron pockets, arising from both d3z2−r2 and dx2−y2 orbital characters, resulting in nodes within the gap function (not present in the s±-wave state) and consequently favoring the dxy-wave pairing.

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References (37)

  1. H. Sun, M. Huo, X. Hu, J. Li, Z. Liu, Y. Han, L. Tang, Z. Mao, P. Yang, B. Wang, J. Cheng, D.-X. Yao, G.-M. Zhang, and M. Wang, Signatures of superconductivity near 80 K in a nickelate under high pressure, Nature (London) 621, 493 (2023).
  2. G. Wang, N. N. Wang, X. L. Shen, J. Hou, L. Ma, L. F. Shi, Z. A. Ren, Y. D. Gu, H. M. Ma, P. T. Yang, Z. Y. Liu, H. Z. Guo, J. P. Sun, G. M. Zhang, S. Calder, J.-Q. Yan, B. S. Wang, Y. Uwatoko, and J.-G. Cheng, Pressure-induced superconductivity in polycrystalline La3Ni2O7−δ, Phys. Rev. X 14, 011040 (2024).
  3. J. Li, P. Ma, H. Zhang, X. Huang, C. Huang, M. Huo, D. Hu, Z. Dong, C. He, J. Liao, X. Chen, T. Xie, H. Sun, and M. Wang, Identification of superconductivity in bilayer nickelate La3Ni2O7 under high pressure up to 100 GPa, Natl. Sci. Rev. nwaf220 (2025).
  4. M. Wang, H.-H. Wen, T. Wu, D.-X. Yao, and T. Xiang, Normal and superconducting properties of La3Ni2O7, Chin. Phys. Lett. 41, 077402 (2024).
  5. E. K. Ko, Y. Yu, Y. Liu, L. Bhatt, J. Li, V. Thampy, C.-T. Kuo, B. Y. Wang, Y. Lee, K. Lee, J.-S. Lee, B. H. Goodge, D. A. Muller, and H. Y. Hwang, Signatures of ambient pressure superconductivity in thin film La3Ni2O7, Nature (London) 638, 935 (2025).
  6. Z. Luo, X. Hu, M. Wang, W. Wú, and D.-X. Yao, Bilayer two-orbital model of La3Ni2o7 under pressure, Phys. Rev. Lett. 131, 126001 (2023).
  7. Y. Zhang, L.-F. Lin, A. Moreo, and E. Dagotto, Electronic structure, dimer physics, orbital-selective behavior, and magnetic tendencies in the bilayer nickelate superconductor La3Ni2O7 under pressure, Phys. Rev. B 108, L180510 (2023).
  8. Y. Zhang, L.-F. Lin, A. Moreo, T. A. Maier, and E. Dagotto, Structural phase transition, S±-wave pairing, and magnetic stripe order in bilayered superconductor La3Ni2O7 under pressure, Nat. Commun. 15, 2470 (2024).
  9. F. Lechermann, J. Gondolf, S. Bötzel, and I. M. Eremin, Electronic correlations and superconducting instability in La3Ni2O7 under high pressure, Phys. Rev. B 108, L201121 (2023).
  10. Z. Luo, B. Lv, M. Wang, W. Wú, and D.-X. Yao, High-Tc superconductivity in La3Ni2O7 based on the bilayer two-orbital t-J model, npj Quantum Mater. 9, 61 (2024).
  11. Q.-G. Yang, D. Wang, and Q.-H. Wang, Possible s±-wave superconductivity in La3Ni2O7, Phys. Rev. B 108, L140505 (2023).
  12. Y.-B. Liu, J.-W. Mei, F. Ye, W.-Q. Chen, and F. Yang, s±-wave pairing and the destructive role of apical-oxygen deficiencies in La3Ni2O7 under pressure, Phys. Rev. Lett. 131, 236002 (2023).
  13. F. Lechermann, S. Bötzel, and I. M. Eremin, Electronic instability, layer selectivity, and Fermi arcs in La3Ni2O7, Phys. Rev. Mater. 8, 074802 (2024).
  14. X.-Z. Qu, D.-W. Qu, J. Chen, C. Wu, F. Yang, W. Li, and G. Su, Bilayer t–J–J⊥ model and magnetically mediated pairing in the pressurized nickelate La3Ni2O7, Phys. Rev. Lett. 132, 036502 (2024).
  15. J. Chen, F. Yang, and W. Li, Orbital-selective superconductivity in the pressurized bilayer nickelate La3Ni2O7: An infinite projected entangled-pair state study, Phys. Rev. B 110, L041111 (2024).
  16. H. Sakakibara, N. Kitamine, M. Ochi, and K. Kuroki, 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).
  17. Z. Fan, J.-F. Zhang, B. Zhan, D. Lv, X.-Y. Jiang, B. Normand, and T. Xiang, Superconductivity in nickelate and cuprate superconductors with strong bilayer coupling, Phys. Rev. B 110, 024514 (2024).
  18. S. Bötzel, F. Lechermann, J. Gondolf, and I. M. Eremin, Theory of magnetic excitations in the multilayer nickelate superconductor La3Ni2O7, Phys. Rev. B 109, L180502 (2024).
  19. C. Xia, H. Liu, S. Zhou, and H. Chen, Sensitive dependence of pairing symmetry on Ni-eg crystal field splitting in the nickelate superconductor La3Ni2O7, Nat. Commun. 16, 1054 (2025).
  20. T. Xie, M. Huo, X. Ni, F. Shen, X. Huang, H. Sun, H. C. Walker, D. Adroja, D. Yu, B. Shen, L. He, K. Cao, and M. Wang, Strong interlayer magnetic exchange coupling in La3Ni2O7−δ revealed by inelastic neutron scattering, Sci. Bull. 69, 3221 (2024).
  21. X. Chen, J. Choi, Z. Jiang, J. Mei, K. Jiang, J. Li, S. Agrestini, M. Garcia-Fernandez, H. Sun, X. Huang, D. Shen, M. Wang, J. Hu, Y. Lu, K.-J. Zhou, and D. Feng, Electronic and magnetic excitations in La3Ni2O7, Nat. Commun. 15, 9597 (2024).
  22. H. Zhong, B. Hao, Y. Wei, Z. Zhang, R. Liu, X. Huang, X.-S. Ni, M. dos Reis Cantarino, K. Cao, Y. Nie, T. Schmitt, and X. Lu, Epitaxial strain tuning of electronic and spin excitations in La3Ni2O7 thin films, arXiv:2502.03178.
  23. S. Graser, T. A. Maier, P. J. Hirschfeld, and D. J. Scalapino, Near-degeneracy of several pairing channels in multiorbital models for the Fe pnictides, New J. Phys. 11, 025016 (2009).
  24. A. F. Kemper, T. A. Maier, S. Graser, H.-P. Cheng, P. J. Hirschfeld, and D. J. Scalapino, Sensitivity of the superconducting state and magnetic susceptibility to key aspects of electronic structure in ferropnictides, New J. Phys. 12, 073030 (2010).
  25. M. Altmeyer, D. Guterding, P. J. Hirschfeld, T. A. Maier, R. Valentí, and D. J. Scalapino, Role of vertex corrections in the matrix formulation of the random phase approximation for the multiorbital Hubbard model, Phys. Rev. B 94, 214515 (2016).
  26. G. B. Martins, A. Moreo, and E. Dagotto, RPA analysis of a two-orbital model for the BiS2-based superconductors, Phys. Rev. B 87, 081102(R) (2013).
  27. L. B. Braz, G. B. Martins, and L. G. G. V. D. da Silva, Charge and spin fluctuations in superconductors with intersublattice and interorbital interactions, arXiv:2403.02453v1.
  28. W. Xi, S.-L. Yu, and J.-X. Li, Transition from spm-wave to dx2−y2-wave superconductivity driven by interlayer interaction in the bilayer two-orbital model of La3Ni2O7, Phys. Rev. B 111, 104505 (2025).
  29. J. Zhan, C. Le, X. Wu, and J. Hu, Impact of nonlocal Coulomb repulsion on superconductivity and density-wave orders in bilayer nickelates, arXiv:2503.18877.
  30. S. Cai, Y. Zhou, H. Sun, K. Zhang, J. Zhao, M. Huo, L. Nataf, Y. Wang, J. Li, J. Guo, K. Jiang, M. Wang, Y. Ding, W. Yang, Y. Lu, Q. Kong, Q. Wu, J. Hu, T. Xiang, H. K. Mao et al., Low-temperature mean valence of nickel ions in pressurized La3Ni2O7, Phys. Rev. B 111, 104511 (2025).
  31. J. Yang, H. Sun, X. Hu, Y. Xie, T. Miao, H. Luo, H. Chen, B. Liang, W. Zhu, G. Qu, C.-Q. Chen, M. Huo, Y. Huang, S. Zhang, F. Zhang, F. Yang, Z. Wang, Q. Peng, H. Mao, G. Liu et al., Orbital-dependent electron correlation in double-layer nickelate La3Ni2O7, Nat. Commun. 15, 4373 (2024).
  32. Y. Li, X. Du, Y. Cao, C. Pei, M. Zhang, W. Zhao, K. Zhai, R. Xu, Z. Liu, Z. Li, J. Zhao, G. Li, Y. Qi, H. Guo, Y. Chen, and L. Yang, Electronic correlation and pseudogap-like behavior of high-temperature superconductor La3Ni2O7, Chin. Phys. Lett. 41, 087402 (2024).
  33. Y. Zhang, L.-F. Lin, A. Moreo, T. A. Maier, and E. Dagotto, Electronic structure, magnetic correlations, and superconducting pairing in the reduced Ruddlesden-Popper bilayer La3Ni2O6 under pressure: Different role of d3z2−r2 orbital compared with La3Ni2O7, Phys. Rev. B 109, 045151 (2024).
  34. Y. Zhang, L.-F. Lin, A. Moreo, T. A. Maier, and E. Dagotto, Prediction of s±-wave superconductivity enhanced by electronic doping in trilayer nickelates La4Ni3O10 under pressure, Phys. Rev. Lett. 133, 136001 (2024).
  35. The remaining matrix elements can be trivially obtained by exchanging A↔B.
  36. T. Ozaki, Continued fraction representation of the Fermi-Dirac function for large-scale electronic structure calculations, Phys. Rev. B 75, 035123 (2007).
  37. L. Barreto Braz, L. Dias da Silva, and G. Balster Martins, Interlayer interactions in La3Ni2O7 under pressure: From s± to d_xy-wave superconductivity [Data set], Zenodo (2025), https://doi.org/10.5281/zenodo.14933119.

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