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We provide a unified semiclassical theory for thermoelectric responses of any observable represented by an operator $\hat{\boldsymbol{\theta}}$ that is well-defined in periodic crystals. The Einstein and Mott relations are established…

Mesoscale and Nanoscale Physics · Physics 2020-02-14 Liang Dong , Cong Xiao , Bangguo Xiong , Qian Niu

The magnetoelectric (ME) effect traditionally arises from complex spin-orbital interactions in multiferroic materials. In this work, we propose a distinct, intrinsic mechanism for the magnetoelectric effect in quasi-2D magnetic systems that…

Mesoscale and Nanoscale Physics · Physics 2025-11-26 Jin-Xin Hu

The Berry curvature of a Bloch band can be interpreted as a local magnetic field in reciprocal space. This analogy can be extended by defining an electric field analog in reciprocal space which arises from the time-dependent Berry…

Quantum Gases · Physics 2018-09-12 Swati Chaudhary , Manuel Endres , Gil Refael

The geometry of electronic bands in a solid can drastically alter single-particle charge and spin transport. We show here that collective optical excitations arising from Coulomb interactions also exhibit unique signatures of Berry…

Mesoscale and Nanoscale Physics · Physics 2015-07-16 Ajit Srivastava , Ataç Imamoğlu

The magneto-optic effects and electro-optic effects are the essential optic effects, although their theoretical explanations are not unified in the classical electromagnetic theory. Describing with the algebra of octonions, the…

General Physics · Physics 2011-05-16 Zi-Hua Weng

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…

Mesoscale and Nanoscale Physics · Physics 2023-08-22 Arka Bandyopadhyay , Nesta Benno Joseph , Awadhesh Narayan

We study Berry curvature driven and Zeeman magnetic field dependent electric current responses of two-dimensional electron system with spin-orbit coupling. New non-dissipative component of the electric current occurring in the applied…

Mesoscale and Nanoscale Physics · Physics 2021-01-04 Vladimir A. Zyuzin

A valley-contrasting Berry curvature in bilayer transition metal dichalcogenides with spin-orbit coupling can generate valley magnetization when the inversion symmetry is broken, for example, by an electric field, regardless of…

Mesoscale and Nanoscale Physics · Physics 2021-01-12 Vassilios Vargiamidis , P. Vasilopoulos , M. Tahir , Neophytos Neophytou

Within the wave-packet semiclassical approach, the Bloch electron energy is derived to second order in the magnetic field and classified into gauge-invariant terms with clear physical meaning, yielding a fresh understanding of the complex…

Mesoscale and Nanoscale Physics · Physics 2015-04-08 Yang Gao , Shengyuan A. Yang , Qian Niu

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…

Mesoscale and Nanoscale Physics · Physics 2020-12-15 Hongchao Li

The recently discovered nonlinear Hall (NLH) effect arises either without external magnetic field (type-I) or with an in-plane magnetic field (type-II). In this work we propose a new type of geometrical nonlinear Hall effect with an…

Materials Science · Physics 2024-09-16 Junjie Yao , Yizhou Liu , Wenhui Duan

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…

Mesoscale and Nanoscale Physics · Physics 2015-12-22 Inti Sodemann , Liang Fu

The Berry curvature (BC), a quantity encoding the geometry of electronic wavefunctions, governs various electronic transport effects in quantum materials. In magnetic systems, the BC is reponsible for the intrinsic part of the anomalous…

Mesoscale and Nanoscale Physics · Physics 2025-10-07 Rhonald Burgos Atencia , Antonio Vecchione , Denys Makarov , Carmine Ortix

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

Berry curvature in Weyl semimetals results in very intriguing magneto-electric and magneto-thermal transport properties. In this paper, we explore the impact of the tilting of the Weyl nodes, which breaks the time-reversal symmetry, on the…

Mesoscale and Nanoscale Physics · Physics 2019-02-13 Kamal Das , Amit Agarwal

The classic magnetic induction effect is usually considered in electric circuits or conductor coils. In this work, we propose quantum induction effects induced by the Berry curvature in homogenous solids. Two different types of quantum…

Materials Science · Physics 2021-11-04 Yizhou Liu , Hengxin Tan , Binghai Yan

Quantum materials are characterized by electromagnetic responses intrinsically linked to the geometry and topology of electronic wavefunctions, encoded in the quantum metric and Berry curvature. Whereas Berry curvature-mediated transport…

Mesoscale and Nanoscale Physics · Physics 2025-08-26 Giacomo Sala , Maria Teresa Mercaldo , Klevis Domi , Stefano Gariglio , Mario Cuoco , Carmine Ortix , Andrea D. Caviglia

The layer Hall effect describes electrons spontaneously deflected to opposite sides at different layers, which has been experimentally reported in the MnBi$_2$Te$_4$ thinfilms under perpendicular electric fields [Gao et al., Nature 595, 521…

Mesoscale and Nanoscale Physics · Physics 2022-08-23 Rui Chen , Hai-Peng Sun , Mingqiang Gu , Chun-Bo Hua , Qihang Liu , Hai-Zhou Lu , X. C. Xie

We study the magnetoelectric and magnetothermal transport properties of noncentrosymmetric metals using semiclassical Boltzmann transport formalism by incorporating the effects of Berry curvature and orbital magnetic moment. These effects…

Mesoscale and Nanoscale Physics · Physics 2021-11-03 Ojasvi Pal , Bashab Dey , Tarun Kanti Ghosh

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