High-T$_C$ superconductivity in $\mathrm{La_3Ni_2O_7}$ based on the bilayer two-orbital t-J model

Fuente: arXiv
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Main Authors: Luo, Zhihui, Lv, Biao, Wang, Meng, Wú, Wéi, Yao, Dao-Xin
Format: Preprint
Published: 2023
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_version_ 1866929459573030912
author Luo, Zhihui
Lv, Biao
Wang, Meng
Wú, Wéi
Yao, Dao-Xin
author_facet Luo, Zhihui
Lv, Biao
Wang, Meng
Wú, Wéi
Yao, Dao-Xin
contents The recently discovered high-T$_C$ superconductor La$_3$Ni$_2$O$_7$ has sparked renewed interest in the unconventional superconductivity. Here we study superconductivity in pressurized La$_3$Ni$_2$O$_7$ based on a bilayer two-orbital $t-J$ model, using the renormalized mean-field theory. Our results reveal a robust $s^\pm-$wave pairing driven by the inter-layer $d_{z^2}$ magnetic coupling, which exhibits a transition temperature within the same order of magnitude as the experimentally observed $T_c \sim 80$ K. We establish a comprehensive superconducting phase diagram in the doping plane. Notably, the La$_3$Ni$_2$O$_7$ under pressure is found situated roughly in the optimal doping regime of the phase diagram. When the $d_{x^2-y^2}$ orbital becomes close to half-filling, $d-$wave and $d+is$ pairing can emerge from the system. We discuss the interplay between Fermi surface topology and different pairing symmetries. The stability of the $s^\pm-$wave pairing against Hund's coupling and other magnetic exchange couplings is discussed.
format Preprint
id arxiv_https___arxiv_org_abs_2308_16564
institution arXiv
publishDate 2023
record_format arxiv
spellingShingle High-T$_C$ superconductivity in $\mathrm{La_3Ni_2O_7}$ based on the bilayer two-orbital t-J model
Luo, Zhihui
Lv, Biao
Wang, Meng
Wú, Wéi
Yao, Dao-Xin
Superconductivity
The recently discovered high-T$_C$ superconductor La$_3$Ni$_2$O$_7$ has sparked renewed interest in the unconventional superconductivity. Here we study superconductivity in pressurized La$_3$Ni$_2$O$_7$ based on a bilayer two-orbital $t-J$ model, using the renormalized mean-field theory. Our results reveal a robust $s^\pm-$wave pairing driven by the inter-layer $d_{z^2}$ magnetic coupling, which exhibits a transition temperature within the same order of magnitude as the experimentally observed $T_c \sim 80$ K. We establish a comprehensive superconducting phase diagram in the doping plane. Notably, the La$_3$Ni$_2$O$_7$ under pressure is found situated roughly in the optimal doping regime of the phase diagram. When the $d_{x^2-y^2}$ orbital becomes close to half-filling, $d-$wave and $d+is$ pairing can emerge from the system. We discuss the interplay between Fermi surface topology and different pairing symmetries. The stability of the $s^\pm-$wave pairing against Hund's coupling and other magnetic exchange couplings is discussed.
title High-T$_C$ superconductivity in $\mathrm{La_3Ni_2O_7}$ based on the bilayer two-orbital t-J model
topic Superconductivity
url https://arxiv.org/abs/2308.16564