Variational Quantum Monte Carlo investigations of the superconducting pairing in La$_3$Ni$_2$O$_7$

Fuente: arXiv
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Autores principales: Liu, Yi-Qun, Wang, Da, Wang, Qiang-Hua
Formato: Preprint
Publicado: 2025
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author Liu, Yi-Qun
Wang, Da
Wang, Qiang-Hua
author_facet Liu, Yi-Qun
Wang, Da
Wang, Qiang-Hua
contents We investigate the pairing symmetry in the novel superconductor La$_3$Ni$_2$O$_7$ under pressure by the non-perturbative variational quantum Monte Carlo. Within the bilayer Hubbard model and extended $t-J$ model with two orbitals in the $E_g$ doublet, we find the local strong correlation triggers $s_\pm$-wave Cooper pairing, with sign change of the gap function among the various Fermi pockets, while the $d_{x^2-y^2}$-wave pairing is generically disfavored. This is in agreement with the results from functional renormalization group applied in the weak up to moderate correlation limit. We find the 3d$_{3z^2-r^2}$ orbital plays a leading role in the superconducting pairing. We also demonstrate the finite intra-orbital double occupancy even in the strong correlation limit, shedding light on the itinerant versus local moment picture of the electrons in this material.
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id arxiv_https___arxiv_org_abs_2505_07341
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Variational Quantum Monte Carlo investigations of the superconducting pairing in La$_3$Ni$_2$O$_7$
Liu, Yi-Qun
Wang, Da
Wang, Qiang-Hua
Superconductivity
Strongly Correlated Electrons
We investigate the pairing symmetry in the novel superconductor La$_3$Ni$_2$O$_7$ under pressure by the non-perturbative variational quantum Monte Carlo. Within the bilayer Hubbard model and extended $t-J$ model with two orbitals in the $E_g$ doublet, we find the local strong correlation triggers $s_\pm$-wave Cooper pairing, with sign change of the gap function among the various Fermi pockets, while the $d_{x^2-y^2}$-wave pairing is generically disfavored. This is in agreement with the results from functional renormalization group applied in the weak up to moderate correlation limit. We find the 3d$_{3z^2-r^2}$ orbital plays a leading role in the superconducting pairing. We also demonstrate the finite intra-orbital double occupancy even in the strong correlation limit, shedding light on the itinerant versus local moment picture of the electrons in this material.
title Variational Quantum Monte Carlo investigations of the superconducting pairing in La$_3$Ni$_2$O$_7$
topic Superconductivity
Strongly Correlated Electrons
url https://arxiv.org/abs/2505.07341