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The anomalous Hall effect has been indispensable in our understanding of numerous magnetic phenomena. This concerns both ferromagnetic materials, as well as diverse classes of antiferromagnets, where in addition to the anomalous and crystal…

Mesoscale and Nanoscale Physics · Physics 2021-09-08 J. Kipp , K. Samanta , F. R. Lux , M. Merte , J. -P. Hanke , M. Redies , F. Freimuth , S. Blügel , M. Ležaić , Y. Mokrousov

The scalar spin chirality, which characterizes the fundamental unit of noncoplanar spin structures, plays an important role in rich chiral physics of magnetic materials. In particular, the intensive research efforts over the past two…

Mesoscale and Nanoscale Physics · Physics 2024-11-07 Gyungchoon Go , Durga Prasad Goli , Nanse Esaki , Yaroslav Tserkovnyak , Se Kwon Kim

The chiral anomaly may be realized in condensed matter systems with pairs of Weyl points. Here we show that the chiral anomaly can be realized in diverse noncentrosymmetric systems even without Weyl point pairs when spin-orbit coupling…

Mesoscale and Nanoscale Physics · Physics 2022-05-25 Suik Cheon , Gil Young Cho , Ki-Seok Kim , Hyun-Woo Lee

Nonsymmorphic crystals can host characteristic double surface Dirac cones with fourfold degeneracy on the Dirac points, called wallpaper fermion, protected by wallpaper group symmetry. We clarify the charge and spin Hall effect of wallpaper…

Mesoscale and Nanoscale Physics · Physics 2023-06-07 Koki Mizuno , Ai Yamakage

The quantum Hall effect and the quantum anomalous Hall effect both require time-reversal invariance to be broken. We show that non-equilibrium effects can cause Hall physics to arise even when the system is weakly time-reversal symmetric…

Mesoscale and Nanoscale Physics · Physics 2026-03-13 Alexander Fagerlund , Christopher Ekman , Rodrigo Arouca

Employing the quantum Liouville equation with phenomenological dissipation, we investigate the transport properties of massless and massive Dirac fermion systems that mimics graphene and topological insulators, respectively. The massless…

Mesoscale and Nanoscale Physics · Physics 2019-10-01 S. A. Sato , P. Tang , M. A. Sentef , U. De Giovannini , H. Hübener , A. Rubio

The spin Hall effect of light attracted enormous attention in the literature due to the ongoing progress in developing of new optically active materials and metamaterials with non-trivial spin-orbit interaction. Recently, it was shown that…

High Energy Physics - Theory · Physics 2019-04-01 Xu-Guang Huang , Andrey V. Sadofyev

We present a study of the thermal Hall effect in the extended Heisenberg model with $XXZ$ anisotropy in the kagome lattice. This model has the particularity that, in the classical case, and for a broad region in parameter space, an external…

Strongly Correlated Electrons · Physics 2021-02-03 F. A. Gómez Albarracín , H. D. Rosales , Pierre Pujol

We study the current of chiral charge density in a Dirac semimetal with two Dirac points in momentum space, subjected to an externally applied time dependent electric field and in the presence of a magnetic field. Based on the kinetic…

Mesoscale and Nanoscale Physics · Physics 2018-12-06 Alexander A. Zyuzin , M. Silaev , Vladimir A. Zyuzin

In this paper, we shall address some field theoretic issues regarding the chiral magnetic effect. The general structure of the magnetic current consistent with the electromagnetic gauge invariance is obtained and the impact of the infrared…

High Energy Physics - Phenomenology · Physics 2011-05-13 Defu Hou , Hui Liu , Hai-cang Ren

We argue that the presence of a very strong magnetic field in the chirally broken phase induces inhomogeneous expectation values, of a spiral nature along the magnetic field axis, for the currents of charge and chirality, when there is…

High Energy Physics - Phenomenology · Physics 2010-11-11 Gokce Basar , Gerald V. Dunne , Dmitri E. Kharzeev

Skyrmions dynamics in the approximation of point-particle skyrmions is considered in the multiferroic insulators, where the spiral magnetic structure is accompanied by finite electric dipole moment. The skyrmion motion is studied in the…

Mesoscale and Nanoscale Physics · Physics 2021-02-03 Pavel A. Andreev , Mariya Iv. Trukhanova

Dirac fermions are actively investigated, and the discovery of the quantized anomalous Hall effect of massive Dirac fermions has spurred the promise of low-energy electronics. Some materials hosting Dirac fermions are natural platforms for…

Mesoscale and Nanoscale Physics · Physics 2017-06-07 Hong Liu , Weizhe Edward Liu , Dimitrie Culcer

Magnetism typically arises from the joint effect of Fermi statistics and repulsive Coulomb interactions, which favors ground states with non-zero electron spin. As a result, controlling spin magnetism with electric fields---a longstanding…

We discuss chiral separation effect in the systems with spatial non - homogeneity. It may be caused by non - uniform electric potential or by another reasons, which do not, however, break chiral symmetry of an effective low energy theory.…

High Energy Physics - Theory · Physics 2020-11-04 M. Suleymanov , M. A. Zubkov

We study the properties of an ultracold Fermi gas loaded in an optical square lattice and subjected to an external and classical non-Abelian gauge field. We show that this system can be exploited as an optical analogue of relativistic…

Mesoscale and Nanoscale Physics · Physics 2009-07-14 N. Goldman , A. Kubasiak , A. Bermudez , P. Gaspard , M. Lewenstein , M. A. Martin-Delgado

Both topological crystalline insulators surfaces and graphene host multi-valley massless Dirac fermions which are not pinned to a high-symmetry point of the Brillouin zone. Strain couples to the low-energy electrons as a time-reversal…

Strongly Correlated Electrons · Physics 2016-05-18 Jörn W. F. Venderbos , Liang Fu

We study the quantum Hall effect of Dirac fermions on the surface of a Wilson-Dirac type topological insulator thin film in the strong topological insulating phase. Although a magnetic field breaks time reversal symmetry of the bulk, the…

Mesoscale and Nanoscale Physics · Physics 2017-03-08 Takeshi Furusawa , Takahiro Fukui

We give an elementary derivation of the chiral magnetic effect based on a strong magnetic field lowest-Landau-level projection in conjunction with the well-known axial anomalies in two- and four-dimensional space-time. The argument is…

High Energy Physics - Theory · Physics 2013-09-26 Gokce Basar , Gerald V. Dunne

The valley Hall effect arises from valley contrasting Berry curvature and requires inversion symmetry breaking. Here, we propose a nonlinear mechanism to generate a valley Hall current in systems with both inversion and time-reversal…

Mesoscale and Nanoscale Physics · Physics 2025-01-28 Kamal Das , Koushik Ghorai , Dimitrie Culcer , Amit Agarwal