Magnetic control of nonlinear transport induced by the quantum metric

Fuente: arXiv
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Autores principales: Chen, Xu, Dou, Mingbo, Zhang, Qin, Wang, Xianjie, Zhuravlev, M. Ye., Nikolaev, A. V., Tao, L. L.
Formato: Preprint
Publicado: 2025
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author Chen, Xu
Dou, Mingbo
Zhang, Qin
Wang, Xianjie
Zhuravlev, M. Ye.
Nikolaev, A. V.
Tao, L. L.
author_facet Chen, Xu
Dou, Mingbo
Zhang, Qin
Wang, Xianjie
Zhuravlev, M. Ye.
Nikolaev, A. V.
Tao, L. L.
contents The quantum geometry plays a crucial role in the nonlinear transport of quantum materials. Here, we use the Boltzmann transport formalism to study the magnetic control of nonlinear transport induced by the quantum metric in two-dimensional systems with different types of spin-orbit coupling (SOC). It is shown that the nonlinear conductivity is strongly dependent on the direction of a field and reveals significant spatial anisotropy. Moreover, the field-direction dependent relations are distinct for different SOCs. In addition, it is demonstrated that the contributions from the quantum metric and Drude mechanism are distinguishable due to their opposite signs or distinct anisotropy relations. We further derive the analytical formulas for the anisotropic nonlinear conductivity, in exact agreement with numerical results. Our work shines more light on the interplay between the nonlinear transport and quantum geometry.
format Preprint
id arxiv_https___arxiv_org_abs_2507_09476
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Magnetic control of nonlinear transport induced by the quantum metric
Chen, Xu
Dou, Mingbo
Zhang, Qin
Wang, Xianjie
Zhuravlev, M. Ye.
Nikolaev, A. V.
Tao, L. L.
Mesoscale and Nanoscale Physics
The quantum geometry plays a crucial role in the nonlinear transport of quantum materials. Here, we use the Boltzmann transport formalism to study the magnetic control of nonlinear transport induced by the quantum metric in two-dimensional systems with different types of spin-orbit coupling (SOC). It is shown that the nonlinear conductivity is strongly dependent on the direction of a field and reveals significant spatial anisotropy. Moreover, the field-direction dependent relations are distinct for different SOCs. In addition, it is demonstrated that the contributions from the quantum metric and Drude mechanism are distinguishable due to their opposite signs or distinct anisotropy relations. We further derive the analytical formulas for the anisotropic nonlinear conductivity, in exact agreement with numerical results. Our work shines more light on the interplay between the nonlinear transport and quantum geometry.
title Magnetic control of nonlinear transport induced by the quantum metric
topic Mesoscale and Nanoscale Physics
url https://arxiv.org/abs/2507.09476