Superconductivity in La${}_4$Ni${}_3$O${}_{10}$ Under Pressure

Abstract

The discovery of superconductivity (SC) in the trilayer nickelate compound La${}_4$Ni${}_3$O${}_{10}$ under pressure has generated significant interest. In this work, we propose a trilayer two $E_g$-orbital $t$-$J_{\parallel }$-$J_{\perp }$ model to investigate the microscopic origin of SC in this system. In the strong-coupling regime, each layer is governed by a $t$-$J_{\parallel }$ model with intra-layer antiferromagnetic exchange $J_{\parallel }$, while electrons are allowed to hop between layers, interacting via inter-layer exchange $J_{\perp }$. The inner-layer $3d_{z^2}$-orbital electrons tends to form bonding states with those in the neighboring layers, leading to redistribution of the electron densities. The numerical simulation results indicate that SC is predominantly mediated by the $3d_{z^2}$ orbital, characterized by an intra-layer extended $s$-wave pairing in the outer layers, accompanied by an inter-layer pairing with opposite sign. Furthermore, we find that electron doping enhances SC, while hole doping tends to suppress it. These findings provide new insights into the SC mechanisms of La${}_4$Ni${}_3$O${}_{10}$ and its sensitivity to charge doping.

8 pages, 6 figures

References in corpus (35)

• Strong electronic correlations from Hund's coupling
• Superconductivity near 80 Kelvin in single crystals of La3Ni2O7 under pressure
• High-temperature superconductivity with zero-resistance and strange metal behavior in La${}_3$Ni${}_2$O${}_{7-\delta }$
• Bilayer two-orbital model of La${}_3$Ni${}_2$O${}_7$ under pressure
• Superconductivity in pressurized trilayer La${}_4$Ni${}_3$O${}_{10-\delta }$ single crystals
• Interlayer Coupling Driven High-Temperature Superconductivity in La${}_3$Ni${}_2$O${}_7$ Under Pressure
• Bilayer $t$-$J$-$J_{\perp }$ Model and Magnetically Mediated Pairing in the Pressurized Nickelate La${}_3$Ni${}_2$O${}_7$
• Evidence for charge and spin order in single crystals of La${}_3$Ni${}_2$O${}_7$ and La${}_3$Ni${}_2$O${}_6$
• Pressure-induced superconductivity in polycrystalline La3Ni2O7
• Signature of superconductivity in pressurized La${}_4$Ni${}_3$O${}_{10}$
• Theoretical analysis on the possibility of superconductivity in a trilayer Ruddlesden-Popper nickelate La${}_4$Ni${}_3$O${}_{10}$ under pressure and its experimental examination: comparison with La${}_3$Ni${}_2$O${}_7$
• Correlation Effects and Concomitant Two-Orbital $s_{\pm }$-Wave Superconductivity in La${}_3$Ni${}_2$O${}_7$ under High Pressure
• Epitaxial growth and electronic structure of Ruddlesden-Popper nickelates (${\mathrm{La}}_{n+1}{\mathrm{Ni}}_n{\mathrm{O}}_{3n+1},n=1-5$)
• Structural transition, electric transport, and electronic structures in the compressed trilayer nickelate La4Ni3O10
• Multiband Metallic Ground State in Multilayered Nickelates La${}_3$Ni${}_2$O${}_7$ and La${}_4$Ni${}_3$O${}_{10}$ Probed by ${}^{139}$La-NMR at Ambient Pressure
• Superconductivity in trilayer nickelate La4Ni3O10 under pressure
• Hund electronic correlation in La${}_3$Ni${}_2$O${}_7$ under high pressure
• Effective model and $s_{\pm }$-wave superconductivity in trilayer nickelate La${}_4$Ni${}_3$O${}_{10}$
• Prediction of $s^{\pm }$-wave superconductivity enhanced by electronic doping in trilayer nickelates La${}_4$Ni${}_3$O${}_{10}$ under pressure
• Non-Fermi Liquid and Hund Correlation in La${}_4$Ni${}_3$O${}_{10}$ under High Pressure
• Trilayer multi-orbital models of $\mathrm{L}{\mathrm{a}}_4\mathrm{N}{\mathrm{i}}_3{\mathrm{O}}_{10}$
• Orbital-selective Superconductivity in the Pressurized Bilayer Nickelate La${}_3$Ni${}_2$O${}_7$: An Infinite Projected Entangled-Pair State Study
• Electronic structure and magnetic tendencies of trilayer La${}_4$Ni${}_3$O${}_{10}$ under pressure: structural transition, molecular orbitals, and layer differentiation
• Ultrafast Dynamics of Bilayer and Trilayer Nickelate Superconductors
• Signature of Superconductivity in Pressurized Trilayer-nickelate Pr${}_4$Ni${}_3$O${}_{10-\delta }$
• Pair correlations of the hybridized orbitals in a ladder model for the bilayer nickelate La${}_3$Ni${}_2$O${}_7$
• Electronic instability, layer selectivity and Fermi arcs in La${}_3$Ni${}_2$O${}_7$
• Electronic structure and magnetic correlations in trilayer nickelate superconductor La${}_4$Ni${}_3$O${}_{10}$ under pressure
• 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
• Effective model and electron correlations in trilayer nickelate superconductor La${}_4$Ni${}_3$O${}_{10}$
• High-pressure crystal growth and investigation of the metal-to-metal transition of Ruddlesden-Popper trilayer nickelates La${}_4$Ni${}_3$O${}_{10}$
• Electronic structure of Ruddlesden-Popper nickelates: strain to mimic the effects pressure
• Interlayer Pairing Induced Partially Gapped Fermi Surface in Trilayer La${}_4$Ni${}_3$O${}_{10}$ Superconductors
• Decomposition of multilayer superconductivity with interlayer pairing

Cited by in corpus (5)

• Collapse of density wave and emergence of superconductivity in pressurized-La${}_4$Ni${}_3$O${}_{10}$ evidenced by ultrafast spectroscopy
• Distinct orbital contributions to electronic and magnetic structures in La${}_4$Ni${}_3$O${}_{10}$
• Multiorbital character of the density wave in trilayer nickelate superconductors
• Layer-Resolved Impurity States Reveal Competing Pairing Mechanisms in Trilayer Nickelate Superconductor La${}_4$Ni${}_3$O${}_{10}$
• Magnetically Mediated Cross-Layer Pairing in Pressurized Trilayer Nickelate La${}_4$Ni${}_3$O${}_{10}$