Spin correlations in the bilayer Hubbard model with perpendicular electric field

Fuente: arXiv
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Main Authors: Yan, Jiawei, Werner, Philipp
Format: Preprint
Published: 2023
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author Yan, Jiawei
Werner, Philipp
author_facet Yan, Jiawei
Werner, Philipp
contents We present a nonequilibrium steady-state implementation of the two-particle self-consistent method. This approach respects the Mermin-Wagner theorem and incorporates non-local spatial fluctuations through self-consistent static vertices. The real-frequency implementation allows to compute spectral properties without analytical continuation in both equilibrium and nonequilibrium. As an interesting application, we investigate spin correlations in the bilayer square lattice Hubbard model under a perpendicular static electric field. In equilibrium, the result yields spin correlations which are in good agreement with recent optical lattice experiments. Under a large enough static electric field, the inter-layer spin correlations switch from antiferromagnetic to ferromagnetic. We clarify how this phenomenon is linked to the nonequilibrium modifications of the spin excitation spectrum.
format Preprint
id arxiv_https___arxiv_org_abs_2312_15776
institution arXiv
publishDate 2023
record_format arxiv
spellingShingle Spin correlations in the bilayer Hubbard model with perpendicular electric field
Yan, Jiawei
Werner, Philipp
Strongly Correlated Electrons
We present a nonequilibrium steady-state implementation of the two-particle self-consistent method. This approach respects the Mermin-Wagner theorem and incorporates non-local spatial fluctuations through self-consistent static vertices. The real-frequency implementation allows to compute spectral properties without analytical continuation in both equilibrium and nonequilibrium. As an interesting application, we investigate spin correlations in the bilayer square lattice Hubbard model under a perpendicular static electric field. In equilibrium, the result yields spin correlations which are in good agreement with recent optical lattice experiments. Under a large enough static electric field, the inter-layer spin correlations switch from antiferromagnetic to ferromagnetic. We clarify how this phenomenon is linked to the nonequilibrium modifications of the spin excitation spectrum.
title Spin correlations in the bilayer Hubbard model with perpendicular electric field
topic Strongly Correlated Electrons
url https://arxiv.org/abs/2312.15776