Effective model and $s_{\pm }$-wave superconductivity in trilayer nickelate La${}_4$Ni${}_3$O${}_{10}$

Abstract

The recent discovery of bulk superconductivity in trilayer nickelate La${}_4$Ni${}_3$O${}_{10}$ with the critical temperature $T_c$ near $30$K under high pressure is attracting a new wave of research interest, after the breakthrough of bilayer La${}_3$Ni${}_2$O${}_7$ with $T_c$ near $80$K. The similarities and differences of electronic structure and superconducting mechanism in these two systems are urgent theoretical issues. In this Letter, we study the electronic band structure and construct a minimal trilayer tight-binding model for the high-pressure phase of La${}_4$Ni${}_3$O${}_{10}$ in terms of the nickel $3d_{x^2-y^2}$ and $3d_{3z^2-r^2}$ orbitals, and study the superconducting mechanism due to local Coulomb interactions by the unbiased functional renormalization group. We find antiferromagnetic correlations between the outer layers instead of neighboring ones, apart from the inplane correlations. The effective interaction induces Cooper pairing with the $s_{\pm }$-wave symmetry, which changes sign across the Fermi pockets. We find $T_c$ in La${}_4$Ni${}_3$O${}_{10}$ is systematically lower than that in La${}_3$Ni${}_2$O${}_7$, and electron doping can enhance $T_c$.

4 pages, 4 figures, 1 table

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Cited by in corpus (42)

• Superconductivity in trilayer nickelate La4Ni3O10 under pressure
• Prediction of $s^{\pm }$-wave superconductivity enhanced by electronic doping in trilayer nickelates La${}_4$Ni${}_3$O${}_{10}$ under pressure
• Theory of Pressure Dependence of Superconductivity in Bilayer Nickelate La${}_3$Ni${}_2$O${}_7$
• The $s^{\pm }$-Wave Superconductivity in the Pressurized La${}_4$Ni${}_3$O${}_{10}$
• Origin of the density wave instability in trilayer nickelate La${}_4$Ni${}_3$O${}_{10}$ revealed by optical and ultrafast spectroscopy
• Modulation of the Octahedral Structure and Potential Superconductivity of La${}_3$Ni${}_2$O${}_7$ through Strain Engineering
• Bulk superconductivity in pressurized trilayer nickelate Pr4Ni3O10 single crystals
• Electronic structure of Ruddlesden-Popper nickelates: strain to mimic the effects pressure
• Band Structure and Pairing Nature of La${}_3$Ni${}_2$O${}_7$ Thin Film at Ambient Pressure
• Interlayer Pairing Induced Partially Gapped Fermi Surface in Trilayer La${}_4$Ni${}_3$O${}_{10}$ Superconductors
• Electronic correlations, layer distinction, and electron doping in the alternating single-layer trilayer La${}_3$Ni${}_2$O${}_7$ polymorph
• Spin-density wave and superconductivity in La${}_4$Ni${}_3$O${}_{10}$ under 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
• Impact of Pressure and Apical Oxygen Vacancies on Superconductivity in La${}_3$Ni${}_2$O${}_7$
• DFT+DMFT study of correlated electronic structure in the monolayer-trilayer phase of La${}_3$Ni${}_2$O${}_7$
• Intertwined charge and spin instability of La${}_3$Ni${}_2$O${}_7$
• Superconductivity in La${}_4$Ni${}_3$O${}_{10}$ Under Pressure
• $t$-$J$ model for strongly correlated two-orbital systems: Application to bilayer nickelate superconductors
• 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
• 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
• 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
• 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
• 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${}_7$
• Topotactical Hydrogen Induced Single-Band $d$-wave Superconductivity in La${}_2$NiO${}_4$
• Orbital-Selective Quasiparticle Depletion across the Density Wave Transition in Trilayer Nickelate La${}_4$Ni${}_3$O${}_{10}$
• Electronic correlations and spin-charge-density stripes in double-layer 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
• Distinct orbital contributions to electronic and magnetic structures in La${}_4$Ni${}_3$O${}_{10}$
• Electronic layer decoupling driven by density-wave order in La${}_4$Ni${}_3$O${}_{10}$
• Unconventional Pressure Dependent Interorbital and Interlayer Doping in Superconducting Nickelates
• Structural stability, electronic structure, and magnetic properties of the single-layer trilayer La3Ni2O7 polymorph
• Anomalous impurity effect in the heavy-fermion superconductor CeCu2Si2
• Pairing mechanism and superconductivity in 1313 phase La${}_3$Ni${}_2$O${}_7$
• Multiorbital character of the density wave in trilayer nickelate superconductors
• Interplay of phonons, intertwined density waves, and induced spin density wave in trilayer nickelates Pr4-xLaxNi3O10
• 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${}_{10}$
• Layer-Resolved Impurity States Reveal Competing Pairing Mechanisms in Trilayer Nickelate Superconductor La${}_4$Ni${}_3$O${}_{10}$
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