Effective model and pairing tendency in bilayer Ni-based superconductor La$_3$Ni$_2$O$_7$

Fuente: arXiv
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Auteurs principaux: Gu, Yuhao, Le, Congcong, Yang, Zhesen, Wu, Xianxin, Hu, Jiangping
Format: Preprint
Publié: 2023
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author Gu, Yuhao
Le, Congcong
Yang, Zhesen
Wu, Xianxin
Hu, Jiangping
author_facet Gu, Yuhao
Le, Congcong
Yang, Zhesen
Wu, Xianxin
Hu, Jiangping
contents Since the discovery of cuprate, the origin of high-T$_c$ superconductivity has been an outstanding puzzle. Recently, high-T$_c$ superconductivity was observed in a bilayer nickelate La$_3$Ni$_2$O$_7$ under pressure, whose structure hosts the apical oxygen between two layers, distinct from multi-layer cuprates. Motivated by this discovery, we investigate its electronic structure using first-principle calculations and superconducting instabilities from both weak-coupling and strong-coupling perspective. Based on the first-principle band structures, we construct a bilayer two-orbital model on a square lattice, consisting of $d_{x^2-y^2}$ and $d_{z^2}$ orbitals, which accurately captures the low-energy electronic properties. Within this model, we study pairing instability using both functional renormalization group approach and multi-orbital t-J model. An $s_{\pm}$-wave pairing with sign-reversal gaps on different Fermi surfaces is revealed, reminiscent of iron based superconductors. The Ni-$d_{z^2}$ orbital and its associated interlayer and intralayer exchange couplings are found to be crucial for the high-T$_c$ superconductivity. Our study provides valuable insights into unique nature of electronic structure and superconductivity in La$_3$Ni$_2$O$_7$ and contributes to the understanding of unconventional superconductors.
format Preprint
id arxiv_https___arxiv_org_abs_2306_07275
institution arXiv
publishDate 2023
record_format arxiv
spellingShingle Effective model and pairing tendency in bilayer Ni-based superconductor La$_3$Ni$_2$O$_7$
Gu, Yuhao
Le, Congcong
Yang, Zhesen
Wu, Xianxin
Hu, Jiangping
Superconductivity
Strongly Correlated Electrons
Since the discovery of cuprate, the origin of high-T$_c$ superconductivity has been an outstanding puzzle. Recently, high-T$_c$ superconductivity was observed in a bilayer nickelate La$_3$Ni$_2$O$_7$ under pressure, whose structure hosts the apical oxygen between two layers, distinct from multi-layer cuprates. Motivated by this discovery, we investigate its electronic structure using first-principle calculations and superconducting instabilities from both weak-coupling and strong-coupling perspective. Based on the first-principle band structures, we construct a bilayer two-orbital model on a square lattice, consisting of $d_{x^2-y^2}$ and $d_{z^2}$ orbitals, which accurately captures the low-energy electronic properties. Within this model, we study pairing instability using both functional renormalization group approach and multi-orbital t-J model. An $s_{\pm}$-wave pairing with sign-reversal gaps on different Fermi surfaces is revealed, reminiscent of iron based superconductors. The Ni-$d_{z^2}$ orbital and its associated interlayer and intralayer exchange couplings are found to be crucial for the high-T$_c$ superconductivity. Our study provides valuable insights into unique nature of electronic structure and superconductivity in La$_3$Ni$_2$O$_7$ and contributes to the understanding of unconventional superconductors.
title Effective model and pairing tendency in bilayer Ni-based superconductor La$_3$Ni$_2$O$_7$
topic Superconductivity
Strongly Correlated Electrons
url https://arxiv.org/abs/2306.07275