Superconductivity in the Bilayer Two-orbital Hubbard Model

TL;DR

This study uses cluster dynamical mean-field theory to explore how electron hybridization and interlayer hopping influence superconductivity in a bilayer two-orbital Hubbard model, shedding light on nickelate superconductor mechanisms.

Contribution

It provides a detailed phase diagram showing the dependence of superconducting $T_c$ on hybridization and interlayer hopping, supporting a two-component pairing theory for nickelate superconductivity.

Findings

Superconducting $T_c$ strongly depends on hybridization $V$ and interlayer hopping $t_{ot}$.

The results support a two-component theory of superconductivity involving pairing coherence and pairing glue.

Implications for understanding $ ext{La}_3 ext{Ni}_2 ext{O}_7$ superconductivity are discussed.

Abstract

Motivated by the recently discovered high $T_c$ nickelate superconductor $\mathrm{La_3Ni_2O_7}$, 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 $\mathrm{La_3Ni_2O_7}$ superconductivity.