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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 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

The Berry curvature dipole is well-known to cause Hall conductivity. This study expands on previous results to demonstrate how two- and three-dimensional materials react under a tilted magnetic field in the linear and nonlinear regimes. We…

介观与纳米尺度物理 · 物理学 2025-10-22 Narjes Kheirabadi , YuanDong Wang

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

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

Berry curvature dipole plays an important role in various nonlinear quantum phenomena. However, the maximum symmetry allowed for nonzero Berry curvature dipole in the transport plane is a single mirror line, which strongly limits its…

Recently, the topological flat bands and spin Hall effect have been experimentally observed in the AB-stacked MoTe$_2$/WSe$_2$ heterostructures. In this work, we systematically study the Berry curvature effects in moir\'{e} transition metal…

介观与纳米尺度物理 · 物理学 2023-03-01 Jin-Xin Hu , Ying-Ming Xie , K. T. Law

The topological properties of a material's electronic structure are encoded in its Berry curvature, a quantity which is intimately related to the transverse electrical conductivity. In transition metal dichalcogenides with broken inversion…

介观与纳米尺度物理 · 物理学 2020-10-21 Fei Xue , V. P. Amin , P. M. Haney

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

Recent experiments have demonstrated interesting physics in a family of two-dimensional (2D) composition-tunable materials Nb$_{2n+1}$Si$_n$Te$_{4n+2}$. Here, we show that owing to its intrinsic low symmetry, metallic nature, tunable…

材料科学 · 物理学 2023-05-24 Yiwei Zhao , Jin Cao , Zeying Zhang , Si Li , Yan Li , Fei Ma , Shengyuan A. Yang

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

For a long period of time, we have been seeking how Berry curvature influnces the transport properties in materials breaking time-reversal symmetry. In time-reversal symmetric material, there will be no thermoelectric current induced by…

介观与纳米尺度物理 · 物理学 2020-12-15 Hongchao Li

Berry curvature, a momentum space property, can manifest itself in current responses. The well-known anomalous Hall effect in time-reversal-breaking systems arises from a Berry curvature monopole. In time-reversal-invariant materials, a…

介观与纳米尺度物理 · 物理学 2025-03-26 Tohid Farajollahpour , R. Ganesh , Kirill Samokhin

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

Noncentrosymmetric metals are anticipated to exhibit a $dc$ photocurrent in the nonlinear optical response caused by the Berry curvature dipole in momentum space. Weyl semimetals (WSMs) are expected to be excellent candidates for observing…

材料科学 · 物理学 2018-01-10 Yang Zhang , Yan Sun , Binghai Yan

Recently, signatures of nonlinear Hall effects induced by Berry-curvature dipoles have been found in atomically thin 1T'/Td-WTe$_2$. In this work, we show that in strained polar transition-metal dichalcogenides(TMDs) with 2H-structures,…

介观与纳米尺度物理 · 物理学 2020-02-24 Benjamin T. Zhou , Cheng-Ping Zhang , K. T. Law

Under broken time reversal symmetry such as in the presence of external magnetic field or internal magnetization, a transverse voltage can be established in materials perpendicular to both longitudinal current and applied magnetic field,…

材料科学 · 物理学 2020-02-04 Hua Wang , Xiaofeng Qian

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

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

Various nonlinear characteristics of solid states, such as the circular photogalvanic effect of time-reversal symmetric insulators, the quantized photogalvanic effect of Weyl semimetals, and the nonlinear Hall effect of time-reversal…

介观与纳米尺度物理 · 物理学 2022-11-30 Mahmut Sait Okyay , Shunsuke Sato , Kunwoo Kim , Binghai Yan , Hosub Jin , Noejung Park
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