Pair correlations in the two-orbital Hubbard ladder: Implications on superconductivity in the bilayer nickelate La${}_3$Ni${}_2$O${}_7$

Abstract

Motivated by high-temperature superconductivity in pressurized La${}_3$Ni${}_2$O${}_7$, we investigate the pair correlations in the two-orbital Hubbard ladder, which consists of the nearly half-filled and nearly quarter-filled orbitals. By employing the density matrix renormalization group method, we demonstrate that the pair correlation exhibits a power-law decay against the distance while the spin correlation decays exponentially. The decay exponent of the pair correlation of the nearly half-filled orbital is comparable to the exponent of the quasi-long-range superconducting correlation in the doped single-orbital Hubbard ladder, which suggests the importance of the $d_{3z^2-r^2}$ orbital in La${}_3$Ni${}_2$O${}_7$.

6 pages, 4 figures

References in corpus (5)

• The density-matrix renormalization group in the age of matrix product states
• Moiré heterostructures as a condensed matter quantum simulator
• High-$T_c$ superconductivity by mobilizing local spin singlets and possible route to higher $T_c$ in pressurized La${}_3$Ni${}_2$O${}_7$
• Trends in electronic structures and $s_{\pm }$-wave pairing for the rare-earth series in bilayer nickelate superconductor $R_3$Ni${}_2$O${}_7$
• Effective pairing interaction in a system with an incipient band

Cited by in corpus (38)

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• Sensitive dependence of pairing symmetry on Ni-$e_g$ crystal field splitting in the nickelate superconductor La${}_3$Ni${}_2$O${}_7$
• Theory of magnetic excitations in multilayer nickelate superconductor 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
• Pair correlations of the hybridized orbitals in a ladder model for the bilayer nickelate 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${}_7$
• Magnetic phase diagram of a two-orbital model for bilayer nickelates varying doping
• Band Structure and Pairing Nature of La${}_3$Ni${}_2$O${}_7$ Thin Film at Ambient Pressure
• Hund's Rule, Interorbital Hybridization, and High-$T_c$ Superconductivity in the Bilayer Nickelate
• Electronic structures and multi-orbital models of La${}_3$Ni${}_2$O${}_7$ thin films at ambient pressure
• Impact of Pressure and Apical Oxygen Vacancies on Superconductivity in La${}_3$Ni${}_2$O${}_7$
• Spin-density wave and superconductivity in La${}_4$Ni${}_3$O${}_{10}$ under ambient pressure
• Highly asymmetric superconducting dome and strange metallicity in La${}_3$Ni${}_2$O${}_7$
• Strong-coupling study of the pairing mechanism in pressurized La${}_3$Ni${}_2$O${}_7$
• $t$-$J$ 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
• Origin of the Diagonal Double-Stripe Spin-Density-Wave and Potential Superconductivity in Bulk La${}_3$Ni${}_2$O${}_7$ at Ambient Pressure
• Magnetic phases and electron-phonon coupling in La${}_3$Ni${}_2$O${}_7$ under pressure
• Strain-Engineered Electronic Structure and Superconductivity in La${}_3$Ni${}_2$O${}_7$ Thin Films
• 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
• Enhanced superconductivity in the compressively strained bilayer nickelate thin films by pressure
• Photoinduced $\eta$-pairing correlation in the Hubbard ladder
• Charge distribution and magnetism in bilayer La${}_3$Ni${}_2$O${}_7$: a hybrid functional study
• Variational Quantum Monte Carlo investigations of the superconducting pairing in La${}_3$Ni${}_2$O${}_7$
• Theory of potential impurity scattering in pressurized superconducting 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
• Quantum phase transition driven by competing intralayer and interlayer hopping in bilayer nickelates
• Superexchanges and Charge Transfer in the La${}_3$Ni${}_2$O${}_7$ Thin Films
• Optical control of the crystal structure in the bilayer nickelate superconductor La3Ni2O7 via nonlinear phononics
• Parameters dependent superconducting transition temperature in high temperature superconductors
• Orbital-selective electron correlations in high-$T_{\mathrm{c}}$ bilayer nickelates: from a global phase diagram to implications for spectroscopy
• Pairing mechanism and superconductivity in pressurized La${}_5$Ni${}_3$O${}_{11}$
• Pairing mechanism and superconductivity in 1313 phase La${}_3$Ni${}_2$O${}_7$
• Magnetically Mediated Cross-Layer Pairing in Pressurized Trilayer Nickelate La${}_4$Ni${}_3$O${}_{10}$
• Spin Fluctuations in the Rare-Earth Doped Bilayer Nickelates