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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…

Materials Science · Physics 2024-07-26 Nesta Benno Joseph , Arka Bandyopadhyay , Awadhesh Narayan

The observation of non-linear Hall effects in time-reversal invariant systems has established the intriguing role of band topology beyond Berry curvature in determining transport phenomena. Many of these non-linear responses owe their…

Materials Science · Physics 2025-10-27 Nesta Benno Joseph , Arka Bandyopadhyay , Ajit C. Balram , Awadhesh Narayan

It is well known that a nontrivial Chern number results in quantized Hall conductance. What is less known is that, generically, the Hall response can be dramatically different from its quantized value in materials with broken inversion…

Mesoscale and Nanoscale Physics · Physics 2026-01-21 Fang Qin , Rui Chen , Ching Hua Lee

We study the quantum nonlinear Hall effect in two-dimensional materials with time-reversal symmetry. When only one mirror line exists, a transverse charge current occurs in second-order response to an external electric field, as a result of…

Mesoscale and Nanoscale Physics · Physics 2018-10-03 Jhih-Shih You , Shiang Fang , Su-Yang Xu , Efthimios Kaxiras , Tony Low

The physics related to Berry curvature is now a central research topic in condensed matter physics. The Berry curvature dipole (BCD) is a significant and intriguing condensed matter phenomenon that involves inversion symmetry breaking.…

Mesoscale and Nanoscale Physics · Physics 2023-03-03 T. Nishijima , T. Watanabe , H. Sekiguchi , Y. Ando , E. Shigematsu , R. Ohshima , S. Kuroda , M. Shiraishi

Topological aspects of electron wavefunction play a crucial role in determining the physical properties of materials. Berry curvature and Chern number are used to define the topological structure of electronic bands. While Berry curvature…

The Berry curvature dipole induced by symmetry breaking play a pivotal role in electronic transport properties and nonlinear responses, such as the nonlinear Hall effect and circular photogalvanic effect. The study of the Berry curvature…

Materials Science · Physics 2026-03-05 Wenzhe Zhou , Dehe Zhang , Guibo Zheng , Yinheng Li , Fangping Ouyang

This paper focuses on the study of linear exciton Hall and Nernst effects in monolayer two-dimensional (2D) semiconductors, employing the semi-classical transport theory. By deriving the exciton Berry curvature in momentum space for a…

Mesoscale and Nanoscale Physics · Physics 2026-01-01 Weilong Guo , Lianguo Li , Qingjun Tong , Ci Li

In materials without inversion symmetry, Berry curvature dipole (BCD) arises from the uneven distribution of Berry curvature in momentum space. This leads to nonlinear anomalous Hall effects even in systems with preserved time-reversal…

Materials Science · Physics 2023-11-02 Hongsheng Pang , Gan Jin , Lixin He

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…

Mesoscale and Nanoscale Physics · Physics 2024-05-21 Arka Bandyopadhyay , Nesta Benno Joseph , Awadhesh Narayan

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,…

Mesoscale and Nanoscale Physics · Physics 2020-02-24 Benjamin T. Zhou , Cheng-Ping Zhang , K. T. Law

One big achievement in modern condensed matter physics is the recognition of the importance of various band geometric quantities in physical effects. As prominent examples, Berry curvature and the Berry curvature dipole are connected to the…

Mesoscale and Nanoscale Physics · Physics 2022-01-26 Huiying Liu , Jianzhou Zhao , Yue-Xin Huang , Xiaolong Feng , Cong Xiao , Weikang Wu , Shen Lai , Wei-bo Gao , Shengyuan A. Yang

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…

Mesoscale and Nanoscale Physics · Physics 2023-08-22 Saswata Roy , Awadhesh Narayan

Piezotronics is an emerging field, which exploits strain to control the transport properties in condensed matters. At present, piezotronics research majorly focuses on insulators with tunable electric dipole by strain. Metals are excluded…

Mesoscale and Nanoscale Physics · Physics 2020-04-15 Xiao Rui-Chun , Shao Ding-Fu , Zhang Zhi-Qiang , Jiang Hua

Nonlinear Hall effect (NHE) can be generated via Berry curvature dipole (BCD) on nonequilibrium Fermi surface in a non-magnetic system without inversion symmetry.To achieve a large BCD, strong local Berry curvatures and their variation with…

Materials Science · Physics 2024-06-25 Junwen Lai , Jie Zhan , Peitao Liu , Xing-Qiu Chen , Yan Sun

The Berry curvature dipole (BCD) serves as a one of the fundamental contributors to emergence of the nonlinear Hall effect (NLHE). Despite intense interest due to its potential for new technologies reaching beyond the quantum efficiency…

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…

Mesoscale and Nanoscale Physics · Physics 2022-11-30 Mahmut Sait Okyay , Shunsuke Sato , Kunwoo Kim , Binghai Yan , Hosub Jin , Noejung Park

The planar Hall effect in 3D systems is an effective probe for their Berry curvature, topology, and electronic properties. However, the Berry curvature-induced conventional planar Hall effect is forbidden in 2D systems as the out-of-plane…

Mesoscale and Nanoscale Physics · Physics 2025-02-04 Koushik Ghorai , Sunit Das , Harsh Varshney , Amit Agarwal

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…

The Berry curvature (BC) - a quantity encoding the geometric properties of the electronic wavefunctions in a solid - is at the heart of different Hall-like transport phenomena, including the anomalous Hall and the non-linear Hall and Nernst…

Mesoscale and Nanoscale Physics · Physics 2023-03-03 Maria Teresa Mercaldo , Canio Noce , Andrea D. Caviglia , Mario Cuoco , Carmine Ortix
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