Superconductivity in the Bilayer Two-orbital Hubbard Model

Abstract

Motivated by the recently discovered high $T_c$ nickelate superconductor $\mathrm{L}{\mathrm{a}}_3\mathrm{N}{\mathrm{i}}_2{\mathrm{O}}_7$, we investigate superconductivity in a two dimensional Hubbard model on square lattice that consists of two layers of hybridizing $d_{x^2-y^2}$ and $d_{z^2}$ orbitals. Employing cluster dynamical mean-field theory, we establish phase diagrams resolving the crucial dependence of superconducting $T_c$ on electron hybridization $V$ between $d_{x^2-y^2}$ and $d_{z^2}$ orbitals at the same layer, and on the hopping $t_{\perp }$ between two $d_{z^2}$ orbitals at different layers. $V$ and $t_{\perp }$ are presumably linked to the pairing phase coherence, and "pairing glue" of the system respectively. Our result favors a two-component theory explanation of superconductivity in a composite system. The influence of the pseudogap effect and Hund's coupling on superconductivity are discussed, and also the implication of our result to the understanding of $\mathrm{L}{\mathrm{a}}_3\mathrm{N}{\mathrm{i}}_2{\mathrm{O}}_7$ superconductivity.

6 Pages, 6 figures. Data and code availability is updated

References in corpus (34)

• Superconductivity near 80 Kelvin in single crystals of La3Ni2O7 under pressure
• Magnetism, superconductivity, and pairing symmetry in Fe-based superconductors
• 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
• Possible $S_{\pm }$-wave superconductivity in La${}_3$Ni${}_2$O${}_7$
• Possible high $T_c$ Superconductivity in La${}_3$Ni${}_2$O${}_7$ under High Pressure through Manifestation of a Nearly-Half-Filled Bilayer Hubbard Model
• Strongly Correlated Superconductivity: a plaquette Dynamical mean field theory study
• 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
• 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${}_6$
• 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
• Signature of superconductivity in pressurized La${}_4$Ni${}_3$O${}_{10}$
• Fluctuation diagnostics of the electron self-energy: Origin of the pseudogap physics
• High-$T_c$ superconductivity by mobilizing local spin singlets and possible route to higher $T_c$ in pressurized La${}_3$Ni${}_2$O${}_7$
• High Temperature Superconductivity in La${}_3$Ni${}_2$O${}_7$
• Electronic correlations and partial gap in the bilayer nickelate La${}_3$Ni${}_2$O${}_7$
• 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
• Correlation Effects and Concomitant Two-Orbital $s_{\pm }$-Wave Superconductivity in La${}_3$Ni${}_2$O${}_7$ under High Pressure
• Trends in electronic structures and $s_{\pm }$-wave pairing for the rare-earth series in bilayer nickelate superconductor $R_3$Ni${}_2$O${}_7$
• Electron correlations and superconductivity in La${}_3$Ni${}_2$O${}_7$ under pressure tuning
• 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
• A route to high temperature superconductivity in composite systems
• Structural transitions, octahedral rotations, and electronic properties of $A_3$Ni${}_2$O${}_7$ rare-earth nickelates under high pressure
• Structural transition, electric transport, and electronic structures in the compressed trilayer nickelate La4Ni3O10
• Quenched pair breaking by interlayer correlations as a key to superconductivity in La${}_3$Ni${}_2$O${}_7$
• Relationship between the parent charge transfer gap and maximum transition temperature in cuprates
• Optimizing superconductivity: from cuprates via nickelates to palladates
• Orbital-selective Superconductivity in the Pressurized Bilayer Nickelate La${}_3$Ni${}_2$O${}_7$: An Infinite Projected Entangled-Pair State Study
• Effect of Rare-earth Element Substitution in Superconducting R${}_3$Ni${}_2$O${}_7$ Under Pressure
• d-wave superconductivity in the frustrated two-dimensional periodic Anderson model
• Absence of a BCS-BEC crossover in the cuprate superconductors

Cited by in corpus (22)

• Identification of the superconductivity in bilayer nickelate La${}_3$Ni${}_2$O${}_7$ upon 100 GPa
• Theory of Pressure Dependence of Superconductivity in Bilayer Nickelate La${}_3$Ni${}_2$O${}_7$
• Correlated electronic structures and unconventional superconductivity in bilayer nickelate heterostructures
• Recent progress in nickelate superconductors
• Transition from $s_{\pm }$-wave to $d_{x^2-y^2}$-wave superconductivity driven by interlayer interaction in the bilayer two-orbital model of La${}_3$Ni${}_2$O${}_7$
• Hund's Rule, Interorbital Hybridization, and High-$T_c$ Superconductivity in the Bilayer Nickelate
• Out-of-plane bond-order phase, superconductivity, and their competition in the $t$-$J_{\parallel }$-$J_{\perp }$ model: Possible implications for bilayer nickelates
• Phase diagrams and two key factors to superconductivity of Ruddlesden-Popper nickelates
• 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${}_7$
• First-principles study on Pr-doped Bilayer Nickelate La3Ni2O7
• $t$-$J$ model for strongly correlated two-orbital systems: Application to bilayer nickelate superconductors
• Strain-Engineered Electronic Structure and Superconductivity in La${}_3$Ni${}_2$O${}_7$ Thin Films
• Unifying Strain-driven and Pressure-driven Superconductivity in La${}_3$Ni${}_2$O${}_7$: Suppressed charge/spin density waves and enhanced interlayer coupling
• Fermi surface reconstruction and enhanced spin fluctuations in strained La${}_3$Ni${}_2$O${}_7$ on LaAlO${}_3$(001) and SrTiO${}_3$(001)
• Variational Quantum Monte Carlo investigations of the superconducting pairing in La${}_3$Ni${}_2$O${}_7$
• Electronic reconstruction and interface engineering of emergent spin fluctuations in compressively strained La${}_3$Ni${}_2$O${}_7$ on SrLaAlO${}_4$(001)
• Quantum phase transition driven by competing intralayer and interlayer hopping in bilayer nickelates
• Pairing Symmetry Crossover from $d$-wave to $s_{\pm }$-wave in a Bilayer Nickelate Driven by Hund's Coupling and Crystal Field Splitting
• Superexchanges and Charge Transfer in the La${}_3$Ni${}_2$O${}_7$ Thin Films
• Orbital-selective electron correlations in high-$T_{\mathrm{c}}$ bilayer nickelates: from a global phase diagram to implications for spectroscopy
• Magnetically Mediated Cross-Layer Pairing in Pressurized Trilayer Nickelate La${}_4$Ni${}_3$O${}_{10}$