Electron correlations and superconductivity in La${}_3$Ni${}_2$O${}_7$ under pressure tuning

Abstract

Motivated by the recent discovery of superconductivity in La${}_3$Ni${}_2$O${}_7$ under pressure, we discuss the basic ingredients of a model that captures its microscopic physics under pressure tuning. We anchor our description in terms of the spectroscopic evidence of strong correlations in this system. In a bilayer Hubbard model including the Ni $3d$ $x^2-y^2$ and $z^2$ orbitals, we show the ground state of the model crosses over from a low-spin $S=1/2$ state to a high-spin $S=3/2$ state. In the high-spin state, the two $x^2-y^2$ and the bonding $z^2$ orbitals are all close to half-filling, which promotes a strong orbital selectivity in a broad crossover regime of the phase diagram pertinent to the system. Based on these results, we construct an effective multiorbital $t$-$J$ model to describe the superconductivity of the system, and find the leading pairing channel to be an intraorbital spin singlet with a competition between the extended $s$-wave and $d_{x^2-y^2}$ symmetries. Our results highlight the role of strong multiorbital correlation effects in driving the superconductivity of La${}_3$Ni${}_2$O${}_7$.

5.5+4 pages, 4+3 figures, 2 tables, updated version with supplemental material

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Cited by in corpus (72)

• Orbital-Dependent Electron Correlation in Double-Layer Nickelate La3Ni2O7
• Correlation Effects and Concomitant Two-Orbital $s_{\pm }$-Wave Superconductivity in La${}_3$Ni${}_2$O${}_7$ under High Pressure
• Pressure Driven Fractionalization of Ionic Spins Results in Cupratelike High-$T_c$ Superconductivity in La${}_3$Ni${}_2$O${}_7$
• Quenched pair breaking by interlayer correlations as a key to superconductivity in La${}_3$Ni${}_2$O${}_7$
• Sensitive dependence of pairing symmetry on Ni-$e_g$ crystal field splitting in the nickelate superconductor La${}_3$Ni${}_2$O${}_7$
• Effective model and $s_{\pm }$-wave superconductivity in trilayer nickelate La${}_4$Ni${}_3$O${}_{10}$
• Strong Pairing Originated from an Emergent ${\mathbb{Z}}_2$ Berry Phase in La${}_3$Ni${}_2$O${}_7$
• Structural routes to stabilise superconducting La${}_3$Ni${}_2$O${}_7$ at ambient pressure
• Prediction of $s^{\pm }$-wave superconductivity enhanced by electronic doping in trilayer nickelates La${}_4$Ni${}_3$O${}_{10}$ under pressure
• Electronic structure, magnetic correlations, and superconducting pairing in the reduced Ruddlesden-Popper bilayer La${}_3$Ni${}_2$O${}_6$ under pressure: different role of $d_{3z^2-r^2}$ orbital compared with 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 Correlation and Pseudogap-like Behavior of High-Temperature Superconductor La3Ni2O7
• Theory of Pressure Dependence of Superconductivity in Bilayer Nickelate La${}_3$Ni${}_2$O${}_7$
• Electronic structure and magnetic tendencies of trilayer La${}_4$Ni${}_3$O${}_{10}$ under pressure: structural transition, molecular orbitals, and layer differentiation
• Antiferromagnetic Ground State, Charge Density Waves and Oxygen Vacancies Induced Metal-Insulator Transition in Pressurized La${}_3$Ni${}_2$O${}_7$
• Resolving the Electronic Ground State of La3Ni2O7-δ Films
• Pair correlations of the hybridized orbitals in a ladder model for the bilayer nickelate La${}_3$Ni${}_2$O${}_7$
• Superconductivity in the Bilayer Two-orbital Hubbard Model
• 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${}_{10}$
• Electronic structure, self-doping, and superconducting instability in the alternating single-layer trilayer stacking nickelates La${}_3$Ni${}_2$O${}_7$
• Recent progress in nickelate superconductors
• Assessing the formation of spin and charge stripes in La${}_3$Ni${}_2$O${}_7$ from first-principles
• Modulation of the Octahedral Structure and Potential Superconductivity of La${}_3$Ni${}_2$O${}_7$ through Strain Engineering
• Band Structure and Pairing Nature of La${}_3$Ni${}_2$O${}_7$ Thin Film at Ambient Pressure
• Magnetic phase diagram of a two-orbital model for bilayer nickelates varying doping
• 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
• Hund's Rule, Interorbital Hybridization, and High-$T_c$ Superconductivity in the Bilayer Nickelate
• Electronic correlations, layer distinction, and electron doping in the alternating single-layer trilayer La${}_3$Ni${}_2$O${}_7$ polymorph
• Impact of Pressure and Apical Oxygen Vacancies on Superconductivity in La${}_3$Ni${}_2$O${}_7$
• Out-of-plane bond-order phase, superconductivity, and their competition in the $t$-$J_{\parallel }$-$J_{\perp }$ model: Possible implications for bilayer nickelates
• Spin-density wave and superconductivity in La${}_4$Ni${}_3$O${}_{10}$ under ambient pressure
• Electronic structures and multi-orbital models of La${}_3$Ni${}_2$O${}_7$ thin films at ambient pressure
• Dichotomy in Low- and High-energy Band Renormalizations in Trilayer Nickelate $L{a}_{4}N{i}_3{O}_{10}$: a Comparison with Cuprates
• Strong-coupling study of the pairing mechanism in pressurized La${}_3$Ni${}_2$O${}_7$
• First-principles study on Pr-doped Bilayer Nickelate La3Ni2O7
• Intertwined charge and spin instability of La${}_3$Ni${}_2$O${}_7$
• Theoretical study of the crystal structure of the bilayer nickel oxychloride Sr${}_3$Ni${}_2$O${}_5$Cl${}_2$ and analysis of possible unconventional superconductivity
• $t$-$J$ model for strongly correlated two-orbital systems: Application to bilayer nickelate superconductors
• Magnetic Correlations and Pairing Tendencies of the Hybrid Stacking Nickelate Superlattice La${}_7$Ni${}_5$O${}_{17}$ (La${}_3$Ni${}_2$O${}_7$/La${}_4$Ni${}_3$O${}_{10}$) under Pressure
• 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
• Spin excitations in bilayer La${}_3$Ni${}_2$O${}_7$ superconductors with the interlayer pairing
• Origin of the Diagonal Double-Stripe Spin-Density-Wave and Potential Superconductivity in Bulk La${}_3$Ni${}_2$O${}_7$ at Ambient Pressure
• Electronic Structure, Magnetic and Pairing Tendencies of Alternating Single-layer Bilayer Stacking Nickelate La${}_5$Ni${}_3$O${}_{11}$ Under Pressure
• Magnetic phases and electron-phonon coupling in La${}_3$Ni${}_2$O${}_7$ under pressure
• Superconductivity governed by Janus-faced fermiology in strained bilayer nickelates
• Strain-Engineered Electronic Structure and Superconductivity in La${}_3$Ni${}_2$O${}_7$ Thin Films
• Unifying Strain-driven and Pressure-driven Superconductivity in La${}_3$Ni${}_2$O${}_7$: Suppressed charge/spin density waves and enhanced interlayer coupling
• Enhanced superconductivity in the compressively strained bilayer nickelate thin films by pressure
• Strong-coupling high-$T_{\mathrm{c}}$ superconductivity in doped correlated band insulators
• Charge distribution and magnetism in bilayer La${}_3$Ni${}_2$O${}_7$: a hybrid functional study
• Fermi surface reconstruction and enhanced spin fluctuations in strained La${}_3$Ni${}_2$O${}_7$ on LaAlO${}_3$(001) and SrTiO${}_3$(001)
• Theory of potential impurity scattering in pressurized superconducting 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${}_{3m+1}$
• Variational Quantum Monte Carlo investigations of the superconducting pairing in La${}_3$Ni${}_2$O${}_7$
• Electronic reconstruction and interface engineering of emergent spin fluctuations in compressively strained La${}_3$Ni${}_2$O${}_7$ on SrLaAlO${}_4$(001)
• Electronic correlations and spin-charge-density stripes in double-layer La${}_3$Ni${}_2$O${}_7$
• Optical control of the crystal structure in the bilayer nickelate superconductor La3Ni2O7 via nonlinear phononics
• Pairing Symmetry Crossover from $d$-wave to $s_{\pm }$-wave in a Bilayer Nickelate Driven by Hund's Coupling and Crystal Field Splitting
• Robust $s_{\pm }$-wave pairing in a bilayer two-orbital model of pressurized La${}_3$Ni${}_2$O${}_7$ without the $\gamma$ Fermi surface
• Superexchanges and Charge Transfer in the La${}_3$Ni${}_2$O${}_7$ Thin Films
• Orbital-selective electron correlations in high-$T_{\mathrm{c}}$ bilayer nickelates: from a global phase diagram to implications for spectroscopy
• Theoretical investigation of the superconducting pairing symmetry in a bilayer two-orbital model of pressurized La${}_3$Ni${}_2$O${}_7$
• Compressive Strain Turns $s^{\pm }$ into $d$-Wave Pairing in One-unit-cell La${}_3$Ni${}_2$O${}_7$ Thin Film Via Substrate-Induced Hole Doping
• Pairing mechanism and superconductivity in pressurized La${}_5$Ni${}_3$O${}_{11}$
• The $s\pm$ pairing symmetry in the pressured La${}_3$Ni${}_2$O${}_7$ from electron-phonon coupling
• Theoretical study of the electronic correlation and superconducting pairing in La${}_{2.85}$Pr${}_{0.15}$Ni${}_2$O${}_7$ film grown on SrLaAlO${}_4$
• Quantum science with arrays of metastable helium-3 atoms
• Spin Fluctuations in the Rare-Earth Doped Bilayer Nickelates
• Effect of doping on the electronic structure, orbital-dependent renormalizations, and magnetic correlations in bilayer La${}_3$Ni${}_2$O${}_7$
• Magnetically Mediated Cross-Layer Pairing in Pressurized Trilayer Nickelate La${}_4$Ni${}_3$O${}_{10}$