Magnetism and superconductivity in the $t-J$ model of $L{a}_{3}N{i}_2{O}_7$ under multiband Gutzwiller approximation

Abstract

The recent discovery of possible high temperature superconductivity in single crystals of $L{a}_{3}N{i}_2{O}_7$ under pressure renews the interest in research on nickelates. The DFT calculations reveal that both $d_{z^2}$ and $d_{x^2-y^2}$ orbitals are active, which suggests a minimal two-orbital model to capture the low-energy physics of this system. In this work, we study a bilayer two-orbital $t-J$ model within multiband Gutzwiller approximation, and discuss the magnetism as well as the superconductivity over a wide range of the hole doping. Owing to the inter-orbital super-exchange process between $d_{z^2}$ and $d_{x^2-y^2}$ orbitals, the induced ferromagnetic coupling within layers competes with the conventional antiferromagnetic coupling, and leads to complicated hole doping dependence for the magnetic properties in the system. With increasing hole doping, the system transfers to A-AFM state from the starting G-AFM state. We also find the inter-layer superconducting pairing of $d_{x^2-y^2}$ orbitals dominates due to the large hopping parameter of $d_{z^2}$ along the vertical inter-layer bonds and significant Hund's coupling between $d_{z^2}$ and $d_{x^2-y^2}$ orbitals. Meanwhile, the G-AFM state and superconductivity state can coexist in the low hole doping regime. To take account of the pressure, we also analyze the impacts of inter-layer hopping amplitude on the system properties.

11 pages, 4 figures

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Cited by in corpus (21)

• Normal and superconducting properties of La${}_3$Ni${}_2$O${}_7$
• Theory of Pressure Dependence of Superconductivity in Bilayer Nickelate La${}_3$Ni${}_2$O${}_7$
• Magnetic phase diagram of a two-orbital model for bilayer nickelates varying doping
• Interlayer Pairing Induced Partially Gapped Fermi Surface in Trilayer La${}_4$Ni${}_3$O${}_{10}$ Superconductors
• Decomposition of multilayer superconductivity with interlayer pairing
• Hund's Rule, Interorbital Hybridization, and High-$T_c$ Superconductivity in the Bilayer Nickelate
• Non-Fermi liquid and antiferromagnetic correlations with hole doping in the bilayer two-orbital Hubbard model of La${}_3$Ni${}_2$O${}_7$ at zero temperature
• 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
• Highly asymmetric superconducting dome and strange metallicity in La${}_3$Ni${}_2$O${}_7$
• $t$-$J$ model for strongly correlated two-orbital systems: Application to bilayer nickelate superconductors
• Doping evolution of the normal state magnetic excitations in pressurized La3Ni2O7
• Spin excitations in bilayer La${}_3$Ni${}_2$O${}_7$ superconductors with the interlayer pairing
• Strain-Engineered Electronic Structure and Superconductivity in La${}_3$Ni${}_2$O${}_7$ Thin Films
• Pressure Effect on the Spin Density Wave Transition in La${}_2$PrNi${}_2$O${}_{6.96}$
• Possible Fano effect and suppression of Andreev reflection in La${}_3$Ni${}_2$O${}_7$
• Numerical study of bi-layer two-orbital model for La${}_3$Ni${}_2$O${}_7$ on a plaquette ladder
• Orbital-selective electron correlations in high-$T_{\mathrm{c}}$ bilayer nickelates: from a global phase diagram to implications for spectroscopy
• Probing Sign-Changing Order Parameters via Impurity States in unconventional superconductors: Implications for La${}_3$Ni${}_2$O${}_7$ Superconductors with interlayer pairing
• Impact of multiband effects on non-Fermi-liquid transport phenomena in bilayer nickelates
• Weak coupling theory of nickel-based 327 superconductors
• Layer-Resolved Impurity States Reveal Competing Pairing Mechanisms in Trilayer Nickelate Superconductor La${}_4$Ni${}_3$O${}_{10}$