Superconductivity in nickelate and cuprate superconductors with strong bilayer coupling

Abstract

The discovery of superconductivity at 80 K under high pressure in La${}_3$Ni${}_2$O${}_7$ presents the groundbreaking confirmation that high-$T_c$ superconductivity is a property of strongly correlated materials beyond cuprates. We use density functional theory (DFT) calculations of the band structure of La${}_3$Ni${}_2$O${}_7$ under pressure to verify that the low-energy bands are composed almost exclusively of Ni 3$d_{x^2-y^2}$ and O 2$p$ orbitals. We deduce that the Ni 3$d_{z^2}$ orbitals are essentially decoupled by the geometry of the high-pressure structure and by the effect of the Ni Hund coupling being strongly suppressed, which results from the enhanced interlayer antiferromagnetic interaction between $d_{z^2}$ orbitals and the strong intralayer hybridization of the $d_{x^2-y^2}$ orbitals with O 2$p$. By introducing a tight-binding model for the Fermi surfaces and low-energy dispersions, we arrive at a bilayer $t$-$t_{\perp }$-$J$ model with strong interlayer hopping, which we show is a framework unifying La${}_3$Ni${}_2$O${}_7$ with cuprate materials possessing similar band structures, particularly the compounds La${}_2$CaCu${}_2$O${}_6$, Pb${}_2$Sr${}_2$YCu${}_3$O${}_8$, and EuSr${}_2$Cu${}_2$NbO${}_8$. We use a renormalized mean-field theory to show that these systems should have ($d$+$is$)-wave superconductivity, with a dominant $d$-wave component and the high $T_c$ driven by the near-optimally doped $\beta$ band, while the $\alpha$ band adds an $s$-wave component that should lead to clear experimental signatures.

11 pages, 4 figures

References in corpus (27)

• Superconductivity near 80 Kelvin in single crystals of La3Ni2O7 under pressure
• Bilayer two-orbital model of La${}_3$Ni${}_2$O${}_7$ under pressure
• Visualization of Oxygen Vacancies and Self-doped Ligand Holes in La3Ni2O7-δ
• Possible $S_{\pm }$-wave superconductivity in La${}_3$Ni${}_2$O${}_7$
• The s${}^{\pm }$-Wave Pairing and the Destructive Role of Apical-Oxygen Deficiencies in La${}_3$Ni${}_2$O${}_7$ Under Pressure
• Possible high $T_c$ Superconductivity in La${}_3$Ni${}_2$O${}_7$ under High Pressure through Manifestation of a Nearly-Half-Filled Bilayer Hubbard Model
• Electronic correlations and superconducting instability in La${}_3$Ni${}_2$O${}_7$ under high pressure
• Interlayer Coupling Driven High-Temperature Superconductivity in La${}_3$Ni${}_2$O${}_7$ Under Pressure
• Correlated electronic structure of La${}_3$Ni${}_2$O${}_7$ under pressure
• Orbital-Dependent Electron Correlation in Double-Layer Nickelate La3Ni2O7
• Bilayer $t$-$J$-$J_{\perp }$ Model and Magnetically Mediated Pairing in the Pressurized Nickelate La${}_3$Ni${}_2$O${}_7$
• Effective bi-layer model Hamiltonian and density-matrix renormalization group study for the high-Tc superconductivity in La${}_3$Ni${}_2$O${}_7$ under high pressure
• Electronic structure, dimer physics, orbital-selective behavior, and magnetic tendencies in the bilayer nickelate superconductor La${}_3$Ni${}_2$O${}_7$ under pressure
• Pairing State with a time-reversal symmetry breaking in FeAs based superconductors
• Structural phase transition, $s_{\pm }$-wave pairing and magnetic stripe order in the bilayered nickelate superconductor La${}_3$Ni${}_2$O${}_7$ under pressure
• High-$T_c$ superconductivity by mobilizing local spin singlets and possible route to higher $T_c$ in pressurized La${}_3$Ni${}_2$O${}_7$
• High Temperature Superconductivity in La${}_3$Ni${}_2$O${}_7$
• Flat bands promoted by Hund's rule coupling in the candidate double-layer high-temperature superconductor La${}_3$Ni${}_2$O${}_7$
• Correlated electronic structure, orbital-selective behavior, and magnetic correlations in double-layer La${}_3$Ni${}_2$O${}_7$ under pressure
• Charge Transfer and Zhang-Rice Singlet Bands in the Nickelate Superconductor $\mathrm{L}{\mathrm{a}}_3\mathrm{N}{\mathrm{i}}_2{\mathrm{O}}_7$ under Pressure
• Correlation Effects and Concomitant Two-Orbital $s_{\pm }$-Wave Superconductivity in La${}_3$Ni${}_2$O${}_7$ under High Pressure
• Trends in electronic structures and $s_{\pm }$-wave pairing for the rare-earth series in bilayer nickelate superconductor $R_3$Ni${}_2$O${}_7$
• Pressure Driven Fractionalization of Ionic Spins Results in Cupratelike High-$T_c$ Superconductivity in La${}_3$Ni${}_2$O${}_7$
• Impurity and vortex States in the bilayer high-temperature superconductor ${\mathrm{La}}_3{\mathrm{Ni}}_2{\mathrm{O}}_7$
• Pair correlations in the two-orbital Hubbard ladder: Implications on superconductivity in the bilayer nickelate La${}_3$Ni${}_2$O${}_7$
• Orbital-selective Superconductivity in the Pressurized Bilayer Nickelate La${}_3$Ni${}_2$O${}_7$: An Infinite Projected Entangled-Pair State Study
• Electronic structures of quasi-one-dimensional cuprate superconductors Ba${}_2$CuO${}_{3+\delta }$

Cited by in corpus (57)

• Electronic and magnetic excitations in La${}_3$Ni${}_2$O${}_7$
• Identification of the superconductivity in bilayer nickelate La${}_3$Ni${}_2$O${}_7$ upon 100 GPa
• Sensitive dependence of pairing symmetry on Ni-$e_g$ crystal field splitting in the nickelate superconductor La${}_3$Ni${}_2$O${}_7$
• Angle-resolved photoemission spectroscopy of superconducting (La,Pr)3Ni2O7/SrLaAlO4 heterostructures
• Theory of Pressure Dependence of Superconductivity in Bilayer Nickelate La${}_3$Ni${}_2$O${}_7$
• Correlated electronic structures and unconventional superconductivity in bilayer nickelate heterostructures
• Antiferromagnetic Ground State, Charge Density Waves and Oxygen Vacancies Induced Metal-Insulator Transition in Pressurized La${}_3$Ni${}_2$O${}_7$
• Cooperation between electron-phonon coupling and electronic interaction in bilayer nickelates La${}_3$Ni${}_2$O${}_7$
• The $s^{\pm }$-Wave Superconductivity in the Pressurized La${}_4$Ni${}_3$O${}_{10}$
• Recent progress in nickelate superconductors
• Magnetic phase diagram of a two-orbital model for bilayer nickelates varying doping
• Band Structure and Pairing Nature of La${}_3$Ni${}_2$O${}_7$ Thin Film at Ambient Pressure
• Transition from $s_{\pm }$-wave to $d_{x^2-y^2}$-wave superconductivity driven by interlayer interaction in the bilayer two-orbital model of La${}_3$Ni${}_2$O${}_7$
• Interlayer Pairing Induced Partially Gapped Fermi Surface in Trilayer La${}_4$Ni${}_3$O${}_{10}$ Superconductors
• Decomposition of multilayer superconductivity with interlayer pairing
• Superconductivity and Electronic Structures of Nickelate Thin Film Superstructures
• Reducing the strain required for ambient-pressure superconductivity in bilayer nickelates
• Electronic structures and multi-orbital models of La${}_3$Ni${}_2$O${}_7$ thin films at ambient pressure
• Superconducting gap structure and bosonic mode in La2PrNi2O7 thin films at ambient pressure
• Impact of Pressure and Apical Oxygen Vacancies on Superconductivity in La${}_3$Ni${}_2$O${}_7$
• Spin-density wave and superconductivity in La${}_4$Ni${}_3$O${}_{10}$ under ambient pressure
• Effective perpendicular electric field as a probe for interlayer pairing in ambient-pressure superconducting La${}_{2.85}$Pr${}_{0.15}$Ni${}_2$O${}_7$ thin films
• Interlayer interactions in ${\text{La}}_3{\text{Ni}}_2{\text{O}}_7$ under pressure: from $s^{\pm }$ to $d_{xy}$-wave superconductivity
• Highly asymmetric superconducting dome and strange metallicity in La${}_3$Ni${}_2$O${}_7$
• Strong-coupling study of the pairing mechanism in pressurized La${}_3$Ni${}_2$O${}_7$
• Doping evolution of the normal state magnetic excitations in pressurized La3Ni2O7
• The electronic structure and disorder effect of La${}_3$Ni${}_2$O${}_7$ superconductor
• Origin of the Diagonal Double-Stripe Spin-Density-Wave and Potential Superconductivity in Bulk La${}_3$Ni${}_2$O${}_7$ at Ambient Pressure
• Strain-Engineered Electronic Structure and Superconductivity in La${}_3$Ni${}_2$O${}_7$ Thin Films
• Spin excitations in bilayer La${}_3$Ni${}_2$O${}_7$ superconductors with the interlayer pairing
• Electronic Structure, Magnetic and Pairing Tendencies of Alternating Single-layer Bilayer Stacking Nickelate La${}_5$Ni${}_3$O${}_{11}$ Under Pressure
• Superconductivity governed by Janus-faced fermiology in strained bilayer nickelates
• 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
• Unifying Strain-driven and Pressure-driven Superconductivity in La${}_3$Ni${}_2$O${}_7$: Suppressed charge/spin density waves and enhanced interlayer coupling
• Pressure Effect on the Spin Density Wave Transition in La${}_2$PrNi${}_2$O${}_{6.96}$
• Strong-coupling high-$T_{\mathrm{c}}$ superconductivity in doped correlated band insulators
• Possible Fano effect and suppression of Andreev reflection in La${}_3$Ni${}_2$O${}_7$
• General trends of electronic structures, superconducting pairing, and magnetic correlations in the Ruddlesden-Popper nickelate $m$-layered superconductors La${}_{m+1}$Ni${}_m$O${}_{3m+1}$
• Self-doped Molecular Mott Insulator for Bilayer High-Temperature Superconducting La3Ni2O7
• Correlation Effects in a Simplified Bilayer Two-Orbital Hubbard Model at Half Filling
• Orbital-Selective Quasiparticle Depletion across the Density Wave Transition in Trilayer Nickelate La${}_4$Ni${}_3$O${}_{10}$
• Decoupling between $d_{x^2-y^2}$ and $d_{z^2}$ orbitals in hole doped La${}_3$Ni${}_2$O${}_7$
• Robust $s_{\pm }$-wave pairing in a bilayer two-orbital model of pressurized La${}_3$Ni${}_2$O${}_7$ without the $\gamma$ Fermi surface
• Quantum phase transition driven by competing intralayer and interlayer hopping in bilayer nickelates
• Numerical study of bi-layer two-orbital model for La${}_3$Ni${}_2$O${}_7$ on a plaquette ladder
• Electronic correlations and spin-charge-density stripes in double-layer La${}_3$Ni${}_2$O${}_7$
• Superexchanges and Charge Transfer in the La${}_3$Ni${}_2$O${}_7$ Thin Films
• Parameters dependent superconducting transition temperature in high temperature superconductors
• Theoretical investigation of the superconducting pairing symmetry in a bilayer two-orbital model of pressurized La${}_3$Ni${}_2$O${}_7$
• Pairing mechanism and superconductivity in pressurized La${}_5$Ni${}_3$O${}_{11}$
• Orbital-selective electron correlations in high-$T_{\mathrm{c}}$ bilayer nickelates: from a global phase diagram to implications for spectroscopy
• Progress of ambient-pressure superconductivity in bilayer nickelate thin films
• Emergence and tunability of Fermi-pocket and electronic instabilities in layered Nickelates
• Theoretical study of the electronic correlation and superconducting pairing in La${}_{2.85}$Pr${}_{0.15}$Ni${}_2$O${}_7$ film grown on SrLaAlO${}_4$
• Magnetically Mediated Cross-Layer Pairing in Pressurized Trilayer Nickelate La${}_4$Ni${}_3$O${}_{10}$
• Effect of doping on the electronic structure, orbital-dependent renormalizations, and magnetic correlations in bilayer La${}_3$Ni${}_2$O${}_7$
• Weak coupling theory of nickel-based 327 superconductors