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The Hall effect occurs only in systems with broken time-reversal symmetry, such as solids under an external magnetic field in the ordinary Hall effect and magnetic materials in the anomalous Hall effect (AHE). Here we show a new Hall effect…

介观与纳米尺度物理 · 物理学 2018-10-09 Kaifei Kang , Tingxin Li , Egon Sohn , Jie Shan , Kin Fai Mak

The electrical Hall effect is the production of a transverse voltage under an out-of-plane magnetic field. Historically, studies of the Hall effect have led to major breakthroughs including the discoveries of Berry curvature and the…

It is well-known that a non-vanishing Hall conductivity requires time-reversal symmetry breaking. However, in this work, we demonstrate that a Hall-like transverse current can occur in second-order response to an external electric field in…

介观与纳米尺度物理 · 物理学 2015-12-22 Inti Sodemann , Liang Fu

The anomalous Hall effect in time-reversal symmetry broken systems is underpinned by the concept of Berry curvature in band theory. However, recent experiments reveal that the nonlinear Hall effect can be observed in non-magnetic systems…

介观与纳米尺度物理 · 物理学 2023-08-22 Arka Bandyopadhyay , Nesta Benno Joseph , Awadhesh Narayan

The ordinary Hall effect refers to generation of a transverse voltage upon exertion of an electric field in the presence of an out-of-plane magnetic field. While a linear Hall effect is commonly observed in systems with breaking…

介观与纳米尺度物理 · 物理学 2023-07-03 Young-Gwan Choi , Manh-Ha Doan , Youngkuk Kim , Gyung-Min Choi

The electronic topology is generally related to the Berry curvature, which can induce the anomalous Hall effect in time-reversal symmetry breaking systems. Intrinsic monolayer transition metal dichalcogenides possesses two nonequivalent K…

介观与纳米尺度物理 · 物理学 2021-07-07 Mao-Sen Qin , Peng-Fei Zhu , Xing-Guo Ye , Wen-Zheng Xu , Zhen-Hao Song , Jing Liang , Kaihui Liu , Zhi-Min Liao

The appearance of a Hall conductance necessarily requires breaking of time-reversal symmetry, either by an external magnetic field or by the internal magnetization of a material. However, as a second response, Hall dissipationless…

介观与纳米尺度物理 · 物理学 2021-07-23 Carmine Ortix

In the presence of time reversal symmetry, a non-linear Hall effect can occur in systems without an inversion symmetry. One of the prominent candidates for detection of such Hall signals are Weyl semimetals. In this article, we investigate…

介观与纳米尺度物理 · 物理学 2023-08-22 Saswata Roy , Awadhesh Narayan

In topological materials, Berry curvature leads to intrinsic Hall responses. Focusing on time-reversal symmetric systems with broken inversion symmetry, a spontaneoous (zero magnetic field) Hall effect is expected to develop under an…

介观与纳米尺度物理 · 物理学 2025-05-21 Shouvik Sur , Lei Chen , Yiming Wang , Chandan Setty , Silke Paschen , Qimiao Si

The non-linear generalization of the Hall effect has recently gained much attention, with a rapidly growing list of non-centrosymmetric materials that display higher-order Hall responses under time-reversal invariant conditions. The…

材料科学 · 物理学 2024-07-26 Nesta Benno Joseph , Arka Bandyopadhyay , Awadhesh Narayan

We studied the nonlinear electric response in WTe2 and MoTe2 monolayers. When the inversion symmetry is breaking but the the time-reversal symmetry is preserved, a second-order Hall effect called the nonlinear anomalous Hall effect (NLAHE)…

材料科学 · 物理学 2018-10-10 Yang Zhang , Jeroen van den Brink , Claudia Felser , Binghai Yan

The observation of a Hall effect, a finite transverse voltage induced by a longitudinal current, usually requires the breaking of time-reversal symmetry, for example through the application of an external magnetic field or the presence of…

介观与纳米尺度物理 · 物理学 2024-11-15 Patrick W. Krantz , Alexander Tyner , Pallab Goswami , Venkat Chandrasekhar

Nonlinear anomalous Hall effect is the Berry curvature dipole induced second-order Hall voltage or temperature difference in response to a longitudinal electric field or temperature gradient. These are the prominent Hall responses in time…

介观与纳米尺度物理 · 物理学 2022-09-28 Atasi Chakraborty , Kamal Das , Subhajit Sinha , Pratap Chandra Adak , Mandar M. Deshmukh , Amit Agarwal

It has recently been demonstrated that various topological states, including Dirac, Weyl, nodal-line, and triple-point semimetal phases, can emerge in antiferromagnetic (AFM) half-Heusler compounds. However, how to determine the AFM…

介观与纳米尺度物理 · 物理学 2021-05-03 Cheng Chen , Huaiqiang Wang , Zhilong Yang , Haijun Zhang

Unlike the linear Hall effect that requires broken time-reversal symmetry, the nonlinear Hall effect may occur in time-reversal symmetric systems as long as there exists a non-zero Berry curvature dipole in the absence of inversion…

介观与纳米尺度物理 · 物理学 2025-04-17 Zi-Hao Dong , Hui Yang , Yi Zhang

We predict a nonlinear Hall effect in certain Weyl semimetals with broken inversion symmetry. When the energy dispersions about pairs of Weyl nodes are skewed -- the Weyl cones are "tilted" -- the concerted actions of the anomalous velocity…

介观与纳米尺度物理 · 物理学 2021-01-19 Rui-Hao Li , Olle G. Heinonen , Anton A. Burkov , Steven S. -L. Zhang

The anomalous Hall effect describes the generation of a transverse voltage by a longitudinal current even in the absence of an external magnetic field. While typically observed in ferromagnets, it has also been predicted to arise in…

The recent observations of nonlinear Hall effect in time-reversal symmetry protected systems and on the surface of three-dimensional topological insulators due to an in-plane magnetic field have attracted immense experimental and…

介观与纳米尺度物理 · 物理学 2021-12-01 Rajesh K. Malla , Avadh Saxena , Wilton J. M. Kort-Kamp

Time-reversal symmetry breaking is the basic physics concept underpinning many magnetic topological phenomena such as the anomalous Hall effect (AHE) and its quantized variant. The AHE has been primarily accompanied by a ferromagnetic…

This review presents recent breakthroughs in the realm of nonlinear Hall effects, emphasizing central theoretical foundations and recent experimental progress. We elucidate the quantum origin of the second-order Hall response, focusing on…

介观与纳米尺度物理 · 物理学 2024-05-21 Arka Bandyopadhyay , Nesta Benno Joseph , Awadhesh Narayan
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