Giant field-tunable nonlinear Hall effect by Lorentz skew scattering in a graphene moire superlattice

Fuente: arXiv
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Autori principali: He, Pan, Zhang, Min, Huang, Yue-Xin, Li, Jingru, Wang, Ruibo, Zhao, Shiwen, Pan, Chaoyu, Gao, Yuxiao, Taniguchi, Takashi, Watanabe, Kenji, Hu, Junxiong, Zhu, Yinyan, Xiao, Cong, Xie, X. C., Yang, Shengyuan A., Shen, Jian
Natura: Preprint
Pubblicazione: 2025
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author He, Pan
Zhang, Min
Huang, Yue-Xin
Li, Jingru
Wang, Ruibo
Zhao, Shiwen
Pan, Chaoyu
Gao, Yuxiao
Taniguchi, Takashi
Watanabe, Kenji
Hu, Junxiong
Zhu, Yinyan
Xiao, Cong
Xie, X. C.
Yang, Shengyuan A.
Shen, Jian
author_facet He, Pan
Zhang, Min
Huang, Yue-Xin
Li, Jingru
Wang, Ruibo
Zhao, Shiwen
Pan, Chaoyu
Gao, Yuxiao
Taniguchi, Takashi
Watanabe, Kenji
Hu, Junxiong
Zhu, Yinyan
Xiao, Cong
Xie, X. C.
Yang, Shengyuan A.
Shen, Jian
contents The nonlinear Hall effect (NHE) can enable rectification and energy harvesting, and its control by external fields, including gate, strain and magnetic field, has been pursued intensively. However, existing tuning pathways rely predominantly on fully quantum mechanical effects and are typically inefficient, resulting in weak NHE signals that limit further progress. In this work, we report the discovery of a distinct type of NHE in a graphene-hBN moire superlattice, which arises from a classical-quantum cooperative effect called Lorentz skew scattering (LSK), induced by a perpendicular magnetic field. This field-driven NHE exhibits a linear dependence on magnetic field and a pronounced unidirectional angular dependence. Remarkably, its magnitude reaches up to 32% of the linear Hall signal. We show that this giant, field-tunable NHE originating from LSK follows a unique quartic scaling law and produces a record-high nonlinear Hall conductivity (36000 μmV-1Ω-1) near van Hove singularities of moire minibands, which is over an order of magnitude larger than all previously reported NHEs. Our findings establish an efficient, magnetic-field-driven route to giant Hall rectification in high-mobility materials, offering a broadly applicable paradigm for modulating the NHE beyond electrostatic gating.
format Preprint
id arxiv_https___arxiv_org_abs_2511_03381
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Giant field-tunable nonlinear Hall effect by Lorentz skew scattering in a graphene moire superlattice
He, Pan
Zhang, Min
Huang, Yue-Xin
Li, Jingru
Wang, Ruibo
Zhao, Shiwen
Pan, Chaoyu
Gao, Yuxiao
Taniguchi, Takashi
Watanabe, Kenji
Hu, Junxiong
Zhu, Yinyan
Xiao, Cong
Xie, X. C.
Yang, Shengyuan A.
Shen, Jian
Mesoscale and Nanoscale Physics
The nonlinear Hall effect (NHE) can enable rectification and energy harvesting, and its control by external fields, including gate, strain and magnetic field, has been pursued intensively. However, existing tuning pathways rely predominantly on fully quantum mechanical effects and are typically inefficient, resulting in weak NHE signals that limit further progress. In this work, we report the discovery of a distinct type of NHE in a graphene-hBN moire superlattice, which arises from a classical-quantum cooperative effect called Lorentz skew scattering (LSK), induced by a perpendicular magnetic field. This field-driven NHE exhibits a linear dependence on magnetic field and a pronounced unidirectional angular dependence. Remarkably, its magnitude reaches up to 32% of the linear Hall signal. We show that this giant, field-tunable NHE originating from LSK follows a unique quartic scaling law and produces a record-high nonlinear Hall conductivity (36000 μmV-1Ω-1) near van Hove singularities of moire minibands, which is over an order of magnitude larger than all previously reported NHEs. Our findings establish an efficient, magnetic-field-driven route to giant Hall rectification in high-mobility materials, offering a broadly applicable paradigm for modulating the NHE beyond electrostatic gating.
title Giant field-tunable nonlinear Hall effect by Lorentz skew scattering in a graphene moire superlattice
topic Mesoscale and Nanoscale Physics
url https://arxiv.org/abs/2511.03381