Effective model and pairing tendency in bilayer Ni-based superconductor La${}_3$Ni${}_2$O${}_7$

Abstract

Since the discovery of cuprate, the origin of high-T${}_c$ superconductivity has been an outstanding puzzle. Recently, high-T${}_c$ superconductivity was observed in a bilayer nickelate La${}_3$Ni${}_2$O${}_7$ under pressure, whose structure hosts the apical oxygen between two layers, distinct from multi-layer cuprates. Motivated by this discovery, we investigate its electronic structure using first-principle calculations and superconducting instabilities from both weak-coupling and strong-coupling perspective. Based on the first-principle band structures, we construct a bilayer two-orbital model on a square lattice, consisting of $d_{x^2-y^2}$ and $d_{z^2}$ orbitals, which accurately captures the low-energy electronic properties. Within this model, we study pairing instability using both functional renormalization group approach and multi-orbital t-J model. An $s_{\pm }$-wave pairing with sign-reversal gaps on different Fermi surfaces is revealed, reminiscent of iron based superconductors. The Ni-$d_{z^2}$ orbital and its associated interlayer and intralayer exchange couplings are found to be crucial for the high-T${}_c$ superconductivity. Our study provides valuable insights into unique nature of electronic structure and superconductivity in La${}_3$Ni${}_2$O${}_7$ and contributes to the understanding of unconventional superconductors.

arXiv comment5 pages, 4 figures + SM

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• Dichotomy in Low- and High-energy Band Renormalizations in Trilayer Nickelate $L{a}_{4}N{i}_3{O}_{10}$: a Comparison with Cuprates
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• Strain-Engineered Electronic Structure and Superconductivity in La${}_3$Ni${}_2$O${}_7$ Thin Films
• Possible Liquid-Nitrogen-Temperature Superconductivity Driven by Perpendicular Electric Field in the Single-Bilayer Film of La${}_3$Ni${}_2$O${}_7$ at Ambient Pressure
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• Origin of the Diagonal Double-Stripe Spin-Density-Wave and Potential Superconductivity in Bulk La${}_3$Ni${}_2$O${}_7$ at Ambient Pressure
• Unifying Strain-driven and Pressure-driven Superconductivity in La${}_3$Ni${}_2$O${}_7$: Suppressed charge/spin density waves and enhanced interlayer coupling
• Self-doped Molecular Mott Insulator for Bilayer High-Temperature Superconducting La3Ni2O7
• Variational Quantum Monte Carlo investigations of the superconducting pairing in La${}_3$Ni${}_2$O${}_7$
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• Stabilizing and Tuning Superconductivity in La${}_3$Ni${}_2$O${}_{7-\delta }$ Films: Oxygen Recycling Protocol Reveals Hole-Doping Analogue
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• Numerical study of bi-layer two-orbital model for La${}_3$Ni${}_2$O${}_7$ on a plaquette ladder
• Pairing Symmetry Crossover from $d$-wave to $s_{\pm }$-wave in a Bilayer Nickelate Driven by Hund's Coupling and Crystal Field Splitting
• Unified mechanism of charge-density-wave and high-$T_c$ superconductivity protected from oxygen vacancies in bilayer nickelates
• Robust $s_{\pm }$-wave pairing in a bilayer two-orbital model of pressurized La${}_3$Ni${}_2$O${}_7$ without the $\gamma$ Fermi surface
• Optical control of the crystal structure in the bilayer nickelate superconductor La3Ni2O7 via nonlinear phononics
• Decoupling between $d_{x^2-y^2}$ and $d_{z^2}$ orbitals in hole doped La${}_3$Ni${}_2$O${}_7$
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• Multiorbital character of the density wave in trilayer nickelate superconductors
• The $s\pm$ pairing symmetry in the pressured La${}_3$Ni${}_2$O${}_7$ from electron-phonon coupling
• Impact of multiband effects on non-Fermi-liquid transport phenomena in bilayer nickelates
• Spin Fluctuations in the Rare-Earth Doped Bilayer Nickelates
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• Magnetically Mediated Cross-Layer Pairing in Pressurized Trilayer Nickelate La${}_4$Ni${}_3$O${}_{10}$
• Raman response in superconducting multiorbital systems with application to nickelates