Numerical study of bi-layer two-orbital model for La${}_3$Ni${}_2$O${}_7$ on a plaquette ladder

Abstract

The recently discovered high-$T_c$ superconductivity in La${}_3$Ni${}_2$O${}_7$ with $T_c\approx 80K$ provides another intriguing platform to explore the microscopic mechanism of unconventional superconductivity. In this work, we study a previously proposed bi-layer two-orbital model Hamiltonian for La${}_3$Ni${}_2$O${}_7$ [Y. Shen, et al, Chinese Physics Letters 40, 127401 (2023)] on a plaquette ladder, which is a minimum setup with two-dimensional characteristic. We employ large-scale Density Matrix Renormalization Group calculations to accurately determine the ground state of the model. We determine the density, magnetic structure, and the pairing property of the model. We find that with large effective inter-layer anti-ferromagnetic exchange for the 3$d_{z^2}$ orbital, both spin, charge, and pairing correlation display quasi-long-range behavior, which could be viewed as a precursor of possible true long-range order in the two dimensional limit. Interestingly, sign oscillation for the pairing correlation are observed for both the 3$d_{x^2-y^2}$ and 3$d_{z^2}$ orbitals, indicating the presence of possible pair density wave in the system. Even though we only study the model on a quasi one-dimensional plaquette ladder geometry due to the computational difficulty, the results on the spin, charge, and pairing correlation provide valuable insight in the clarification of the properties of La${}_3$Ni${}_2$O${}_7$ in the future.

7 pages, 4 figures

References in corpus (50)

• Superconductivity near 80 Kelvin in single crystals of La3Ni2O7 under pressure
• A superconducting praseodymium nickelate with infinite layer structure
• Nickelate superconductivity without rare-earth magnetism: (La,Sr)NiO${}_2$
• 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
• Self-doped Mott insulator for parent compounds of nickelate superconductors
• Superconductivity in infinite-layer nickelate La${}_{1-x}$Ca${}_x$NiO${}_2$ thin films
• 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
• Electronic correlations and superconducting instability in La${}_3$Ni${}_2$O${}_7$ under high pressure
• Correlated electronic structure of La${}_3$Ni${}_2$O${}_7$ under pressure
• Interlayer Coupling Driven High-Temperature Superconductivity in La${}_3$Ni${}_2$O${}_7$ Under Pressure
• Orbital-Dependent Electron Correlation in Double-Layer Nickelate La3Ni2O7
• Doping evolution of the Mott-Hubbard landscape in infinite-layer nickelates
• 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
• Pressure-induced superconductivity in polycrystalline La3Ni2O7
• Structural phase transition, $s_{\pm }$-wave pairing and magnetic stripe order in the bilayered nickelate superconductor La${}_3$Ni${}_2$O${}_7$ under pressure
• Signature of superconductivity in pressurized La${}_4$Ni${}_3$O${}_{10}$
• Electronic and magnetic excitations in La${}_3$Ni${}_2$O${}_7$
• High Temperature Superconductivity in La${}_3$Ni${}_2$O${}_7$
• 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${}_7$
• Electronic correlations and partial gap in the bilayer nickelate 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
• Normal and superconducting properties of La${}_3$Ni${}_2$O${}_7$
• Effects of Pressure and Doping on Ruddlesden-Popper phases Lan+1NinO3n+1
• High-T${}_C$ superconductivity in $\mathrm{L}{\mathrm{a}}_3\mathrm{N}{\mathrm{i}}_2{\mathrm{O}}_7$ based on the bilayer two-orbital t-J model
• Superconductivity in nickelate and cuprate superconductors with strong bilayer coupling
• Pressure-enhanced spin-density-wave transition in double-layer nickelate $L{a}_{3}N{i}_2{O}_{7-\delta }$
• Structural transition, electric transport, and electronic structures in the compressed trilayer nickelate La4Ni3O10
• Pressure-enhanced splitting of density wave transitions in La${}_3$Ni${}_2$O${}_{7-\delta }$
• Superconductivity in trilayer nickelate La4Ni3O10 under pressure
• Effective model and pairing tendency in bilayer Ni-based superconductor La${}_3$Ni${}_2$O${}_7$
• Pair correlations in the two-orbital Hubbard ladder: Implications on superconductivity in the bilayer nickelate 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${}_7$
• Hund electronic correlation in La${}_3$Ni${}_2$O${}_7$ under high pressure
• Prediction of $s^{\pm }$-wave superconductivity enhanced by electronic doping in trilayer nickelates La${}_4$Ni${}_3$O${}_{10}$ under pressure
• The electronic and magnetic structures of bilayer La${}_3$Ni${}_2$O${}_7$ at ambient pressure
• Non-Fermi Liquid and Hund Correlation in La${}_4$Ni${}_3$O${}_{10}$ under High Pressure
• Absence of phonon-mediated superconductivity in La${}_3$Ni${}_2$O${}_7$ under pressure
• Charge and spin instabilities in superconducting La${}_3$Ni${}_2$O${}_7$
• Density-wave-like gap evolution in La${}_3$Ni${}_2$O${}_7$ under high pressure revealed by ultrafast optical spectroscopy
• Cooperation between electron-phonon coupling and electronic interaction in bilayer nickelates La${}_3$Ni${}_2$O${}_7$
• Magnetism and superconductivity in the $t-J$ model of $L{a}_{3}N{i}_2{O}_7$ under multiband Gutzwiller approximation
• Ground-state phase diagram of the extended two-leg $t$-$J$ ladder
• Reexamining doped two-legged Hubbard ladders

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