Pair correlations in the two-orbital Hubbard ladder: Implications on superconductivity in the bilayer nickelate La$_3$Ni$_2$O$_7$

Fuente: arXiv
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Auteurs principaux: Kaneko, Tatsuya, Sakakibara, Hirofumi, Ochi, Masayuki, Kuroki, Kazuhiko
Format: Preprint
Publié: 2023
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author Kaneko, Tatsuya
Sakakibara, Hirofumi
Ochi, Masayuki
Kuroki, Kazuhiko
author_facet Kaneko, Tatsuya
Sakakibara, Hirofumi
Ochi, Masayuki
Kuroki, Kazuhiko
contents Motivated by high-temperature superconductivity in pressurized La$_3$Ni$_2$O$_7$, we investigate the pair correlations in the two-orbital Hubbard ladder, which consists of the nearly half-filled and nearly quarter-filled orbitals. By employing the density matrix renormalization group method, we demonstrate that the pair correlation exhibits a power-law decay against the distance while the spin correlation decays exponentially. The decay exponent of the pair correlation of the nearly half-filled orbital is comparable to the exponent of the quasi-long-range superconducting correlation in the doped single-orbital Hubbard ladder, which suggests the importance of the $d_{3z^2-r^2}$ orbital in La$_3$Ni$_2$O$_7$.
format Preprint
id arxiv_https___arxiv_org_abs_2310_01952
institution arXiv
publishDate 2023
record_format arxiv
spellingShingle Pair correlations in the two-orbital Hubbard ladder: Implications on superconductivity in the bilayer nickelate La$_3$Ni$_2$O$_7$
Kaneko, Tatsuya
Sakakibara, Hirofumi
Ochi, Masayuki
Kuroki, Kazuhiko
Superconductivity
Strongly Correlated Electrons
Motivated by high-temperature superconductivity in pressurized La$_3$Ni$_2$O$_7$, we investigate the pair correlations in the two-orbital Hubbard ladder, which consists of the nearly half-filled and nearly quarter-filled orbitals. By employing the density matrix renormalization group method, we demonstrate that the pair correlation exhibits a power-law decay against the distance while the spin correlation decays exponentially. The decay exponent of the pair correlation of the nearly half-filled orbital is comparable to the exponent of the quasi-long-range superconducting correlation in the doped single-orbital Hubbard ladder, which suggests the importance of the $d_{3z^2-r^2}$ orbital in La$_3$Ni$_2$O$_7$.
title Pair correlations in the two-orbital Hubbard ladder: Implications on superconductivity in the bilayer nickelate La$_3$Ni$_2$O$_7$
topic Superconductivity
Strongly Correlated Electrons
url https://arxiv.org/abs/2310.01952