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Symmetry is a cornerstone of condensed matter physics, fundamentally shaping the behavior of electronic systems and inducing the emergence of novel phenomena. The Hall effect, a key concept in this field, demonstrates how symmetry breaking,…

Mesoscale and Nanoscale Physics · Physics 2025-04-29 Shuo Wang , Wei Niu , Yue-Wen Fang

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

Observation of Weyl and Dirac Fermions in condensed matter systems is one of the most important discoveries. Among the very few available tools to characterize Weyl semimetals through electrical transport, negative magnetoresistance is most…

Mesoscale and Nanoscale Physics · Physics 2018-07-27 Nitesh Kumar , Satya N. Guin , Claudia Felser , Chandra Shekhar

The anomalous velocity term in the semiclassical model of a Bloch electron deviates the trajectory from the conventional one. When the Berry curvature (alias noncommutative parameter) is a monopole in momentum space as found recently in…

Mesoscale and Nanoscale Physics · Physics 2010-04-05 P. A. Horvathy

When passing an optical medium in the presence of a magnetic field, the polarization of light can be rotated either when reflected at the surface (Kerr effect) or when transmitted through the material (Faraday rotation). This phenomenon is…

Mesoscale and Nanoscale Physics · Physics 2017-02-28 Viet Hung Nguyen , Aurélien Lherbier , Jean-Christophe Charlier

Weyl semimetal may be thought of as a gapless topological phase protected by the chiral anomaly, where the symmetries involved in the anomaly are the $U(1)$ charge conservation and the crystal translational symmetry. The absence of a band…

Strongly Correlated Electrons · Physics 2020-03-09 Chong Wang , L. Gioia , A. A. Burkov

It has been recently predicted that the interplay between Coulomb interactions and Berry curvature can produce interesting optical phenomena in topologically nontrivial two-dimensional insulators. Here, we present a theory of the optical…

Mesoscale and Nanoscale Physics · Physics 2017-08-23 Simon Bertrand , Ion Garate , René Côté

One striking property of the Landau level spectrum of a Weyl semimetal (WSM) is the existence of a chiral Landau level, in which the electrons propagate unidirectionally along the magnetic field. This linearly dispersive level influences…

Mesoscale and Nanoscale Physics · Physics 2021-01-04 Jean-Michel Parent , René Côté , Ion Garate

Weyl semimetals are intriguing topological states of matter that support various anomalous magneto-transport phenomena. One such phenomenon is a negative longitudinal ($\mathbf{\nabla} T \parallel \mathbf{B}$) magneto-thermal resistivity,…

Mesoscale and Nanoscale Physics · Physics 2019-09-18 S. Nandy , A. Taraphder , Sumanta Tewari

The condensed-matter version of the chiral anomaly describes how electrons are pumped from a Weyl node with negative chirality to a Weyl node with positive chirality using parallel electric and magnetic fields. Key experimental signatures…

Mesoscale and Nanoscale Physics · Physics 2025-06-12 Yongjian Wang , Alexander Wowchik , Thomas Boemerich , A. A. Taskin , Achim Rosch , Yoichi Ando

Applying time-varying magnetic fields to Weyl metals, a pair of Weyl points become oscillating. This oscillating monopole and anti-monopole pair gives rise to AC Berry magnetic fields, responsible for the emergence of Berry electric fields,…

Strongly Correlated Electrons · Physics 2017-02-28 Iksu Jang , Jaeho Han , Ki-Seok Kim

Adler-Bell-Jackiw chiral anomaly is a representative feature arising from the topological nature in topological semimetal. We report the first experimental observation of giant planar Hall effect in type-II Weyl semimetal WTe2. Our…

Materials Science · Physics 2018-01-23 Y. J. Wang , J. X. Gong , D. D. Liang , M. Ge , J. R. Wang , W. K. Zhu , C. J. Zhang

The ordinary Hall effect is driven by the Lorentz force, while its anomalous counterpart occurs in ferromagnets. Here we show that the Berry curvature monopole of non-magnetic 2D spin-3/2 holes leads to a novel Hall effect linear in an…

Mesoscale and Nanoscale Physics · Physics 2021-06-30 James H. Cullen , Pankaj Bhalla , Elizabeth Marcellina , Alexander R. Hamilton , Dimitrie Culcer

We predict an anomalous thermal Hall effect (ATHE) mediated by photons in networks of Weyl semi-metals. Contrary to the photon thermal Hall effect in magneto-optical systems which requires the application of an external magnetic field the…

Mesoscale and Nanoscale Physics · Physics 2020-07-01 A. Ott , S. -A. Biehs , P. Ben-Abdallah

It has been suggested that materials which break spatial inversion symmetry, but not time reversal symmetry, will be optically gyrotropic and display a nonlocal Hall effect. The associated optical rotary power and the suggested possibility…

Strongly Correlated Electrons · Physics 2015-02-25 Martin Gradhand , Jasper van Wezel

Recent theoretical work has shown that higher-order moments of the Berry curvature, e.g., Berry curvature quadrupole and hexapole moments, can produce the leading order nonlinear anomalous Hall response (NLAH) in systems with special…

Mesoscale and Nanoscale Physics · Physics 2024-11-13 Srimayi Korrapati , Snehasish Nandy , Sumanta Tewari

The anomalous Hall effect in ferromagnetic metals is classified into two based on the mechanism. The first one is the intrinsic Hall effect due to the Berry curvature in momentum space; this is a Hall effect that solely arises from the band…

Mesoscale and Nanoscale Physics · Physics 2017-10-19 Hiroaki Ishizuka , Naoto Nagaosa

Despite the rapid progress in the study of planar Hall effect (PHE) in recent years, all the previous works only showed that the PHE is connected to local geometric quantities, such as Berry curvature. Here, for the first time, we point out…

Mesoscale and Nanoscale Physics · Physics 2024-12-23 Lei Li , Chaoxi Cui , Run-Wu Zhang , Zhi-Ming Yu , Yugui Yao

Recently, time-reversal symmetry broken magnetic Weyl semimetals (WSMs) have attracted extensive attention and have provided an intriguing platform for exploring fundamental physical phenomena. The study of chromium telluride-based systems…

Materials Science · Physics 2024-11-26 Anumita Bose , Shubham Purwar , Setti Thirupathaiah , Awadhesh Narayan

We theoretically study the circularly polarized light-induced Floquet state in line-node semimetals with time-reversal symmetry and inversion symmetry. It is found that the Floquet state can show the photovoltaic anomalous Hall effect when…

Mesoscale and Nanoscale Physics · Physics 2016-11-01 Katsuhisa Taguchi , Dong-Hui Xu , Ai Yamakage , K. T. Law
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