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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

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

We investigate the second-order anomalous Hall response in two-dimensional higher-wave symmetric magnets, including the recently discovered class of collinear magnets known as altermagnets, when subjected to a symmetry-breaking external…

Mesoscale and Nanoscale Physics · Physics 2025-11-17 Srimayi Korrapati , Snehasish Nandy , Sumanta Tewari

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

The band geometric properties of quantum materials play an elemental role in the linear and nonlinear transport of electrons. In this paper, we propose that the interplay of the Berry curvature, the orbital magnetic moment and the Lorentz…

Mesoscale and Nanoscale Physics · Physics 2022-03-22 Shibalik Lahiri , Tanmay Bhore , Kamal Das , Amit Agarwal

Berry curvature is ubiquitous in condensed matter physics and materials science. Its main consequence is the intrinsic anomalous Hall effect (AHE) in magnetic materials and plays a pivotal role in spintronic applications and quantum…

Materials Science · Physics 2026-05-07 Satoshi Okamoto , Adriana Moreo , Naoto Nagaosa , Stuart S. P. Parkin

We present a study of electric, thermal and thermoelectric response in noncollinear antiferromagnet Mn$_{3}$Sn, which hosts a large Anomalous Hall Effect (AHE). Berry curvature generates off-diagonal thermal(Righi-Leduc) and…

Mesoscale and Nanoscale Physics · Physics 2017-08-09 Xiaokang Li , Liangcai Xu , Linchao Ding , Jinhua Wang , Mingsong Shen , Xiufang Lu , Zengwei Zhu , Kamran Behnia

The use of Berry-phase concepts has established a strong link between the anomalous Hall effect (AHE) and the topological character of the Hall currents. However, the occurrence of sign competition in the Berry curvature often hinders the…

Strongly Correlated Electrons · Physics 2025-09-19 Wojciech Brzezicki , Carmine Autieri , Mario Cuoco

Non-Hermitian materials can not only exhibit exotic energy band structures but also an anomalous velocity induced by non-Hermitian anomalous Berry connection as predicted by the semiclassical equations of motion for Bloch electrons.…

Mesoscale and Nanoscale Physics · Physics 2021-12-23 Jiong-Hao Wang , Yu-Liang Tao , Yong Xu

The inversion of cause and effect in the classic description of electromagnetism, gives rise to a conceptual error which is at the bottom of many paradoxes and exceptions. At present, the curious fact that unipolar induction or the Faraday…

Classical Physics · Physics 2007-05-23 Albert Serra

We have shown that the study of topological aspects of the underlying geometry in a ferromagnetic spin system gives rise to an intrinsic Berry phase. This real space Berry phase arises due to the spin rotations of conducting electrons which…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 B. Basu , P. Bandyopadhyay

Altermagnets are a recently discovered class of compensated magnets with momentum-dependent spin splittings and unusual transport properties, even without a net magnetization. In the presence of combined four-fold rotation and time-reversal…

Mesoscale and Nanoscale Physics · Physics 2025-10-17 Arnob Mukherjee , Biplab Sanyal , Annica M. Black-Schaffer , Ankita Bhattacharya

Emergent electromagnetism in magnets originates from the strong coupling between conduction electron spins and those of noncollinear ordered moments and the consequent Berry phase. This offers possibilities to develop new functions of…

Mesoscale and Nanoscale Physics · Physics 2021-12-07 Daichi Kurebayashi , Naoto Nagaosa

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…

Recent interest in topological nature in condensed matter physics has revealed the essential role of Berry curvature in anomalous Hall effect (AHE). However, since large Hall response originating from Berry curvature has been reported in…

Strongly Correlated Electrons · Physics 2020-10-20 Kazuto Akiba , Kaisei Iwamoto , Takaaki Sato , Shingo Araki , Tatsuo C. Kobayashi

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…

Mesoscale and Nanoscale Physics · Physics 2025-03-26 Tohid Farajollahpour , R. Ganesh , Kirill Samokhin

During the past two decades, it has been established that a non-trivial electron wave-function topology generates an anomalous Hall effect (AHE), which shows itself as a Hall conductivity non-linear in magnetic field. Here, we report on an…

Materials Science · Physics 2023-03-29 Xiaokang Li , Jahyun Koo , Zengwei Zhu , Kamran Behnia , Binghai Yan

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…

Mesoscale and Nanoscale Physics · Physics 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

We theoretically investigate how the Berry curvature, which arises in multi-band structures when the electrons can be described by an effective single-band Hamiltonian, affects the superconducting properties of two-dimensional electronic…

Mesoscale and Nanoscale Physics · Physics 2024-03-28 Florian Simon , Louis Pagot , Marc Gabay , Mark O. Goerbig

Excitons are neutral objects, that, naively, should have no response to a uniform, electric field. Could the Berry curvature of the underlying electronic bands alter this conclusion? In this work, we show that Berry curvature can indeed…

Strongly Correlated Electrons · Physics 2021-04-21 Swati Chaudhary , Christina Knapp , Gil Refael
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