Generalized Onsager reciprocal relations of charge and spin transport

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Main Authors: Huang, Guan-Hua, Tang, Hui, Zhang, Shizhong, Yan, Zhongbo, Wu, Zhigang
Format: Preprint
Published: 2025
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author Huang, Guan-Hua
Tang, Hui
Zhang, Shizhong
Yan, Zhongbo
Wu, Zhigang
author_facet Huang, Guan-Hua
Tang, Hui
Zhang, Shizhong
Yan, Zhongbo
Wu, Zhigang
contents In spin-orbit-coupled systems the charge and spin transport are generally coupled to each other, namely a charge current will induce a spin current and vice versa. In the presence of time-reversal symmetry $T$, the cross-coupling transport coefficients describing how one process affects the other are constrained by the famous Onsager reciprocal relations. In this paper, we generalize the Onsager reciprocal relations of charge and spin transport to systems that break the time-reversal symmetry but preserve a combined symmetry of $T$ and some other symmetry operation $O$. We show that the symmetry or antisymmetry of the cross-coupling transport coefficients remains in place provided that the operator $O$ meets certain conditions. Among many candidate systems where our generalized Onsager relations apply, we focus on a conceptually simple and experimentally realized model in cold atomic systems for explicit demonstration and use these relations to predict highly non-trivial transport phenomena that can be readily verified experimentally.
format Preprint
id arxiv_https___arxiv_org_abs_2506_15478
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Generalized Onsager reciprocal relations of charge and spin transport
Huang, Guan-Hua
Tang, Hui
Zhang, Shizhong
Yan, Zhongbo
Wu, Zhigang
Quantum Gases
Statistical Mechanics
Strongly Correlated Electrons
In spin-orbit-coupled systems the charge and spin transport are generally coupled to each other, namely a charge current will induce a spin current and vice versa. In the presence of time-reversal symmetry $T$, the cross-coupling transport coefficients describing how one process affects the other are constrained by the famous Onsager reciprocal relations. In this paper, we generalize the Onsager reciprocal relations of charge and spin transport to systems that break the time-reversal symmetry but preserve a combined symmetry of $T$ and some other symmetry operation $O$. We show that the symmetry or antisymmetry of the cross-coupling transport coefficients remains in place provided that the operator $O$ meets certain conditions. Among many candidate systems where our generalized Onsager relations apply, we focus on a conceptually simple and experimentally realized model in cold atomic systems for explicit demonstration and use these relations to predict highly non-trivial transport phenomena that can be readily verified experimentally.
title Generalized Onsager reciprocal relations of charge and spin transport
topic Quantum Gases
Statistical Mechanics
Strongly Correlated Electrons
url https://arxiv.org/abs/2506.15478