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We present an overview of our recent work on transport phenomena in Weyl metals, which may be connected to their nontrivial topological properties, particularly to chiral anomaly. We argue that there are two basic phenomena, which are…

Mesoscale and Nanoscale Physics · Physics 2015-06-24 A. A. Burkov

The chiral anomaly is a quantum mechanical effect for massless Dirac fermions in both particle physics and condensed matter physics. Here we present a set of effective models for single massless Dirac fermions in one- and three-dimensions…

Mesoscale and Nanoscale Physics · Physics 2025-09-11 Huan-Wen Wang , Bo Fu , Shun-Qing Shen

Quantum field theory predicts Weyl semimetals to possess a peculiar response of the longitudinal current density to the application of a DC magnetic field. Such a response function has been shown to be at odds with a general result showing…

Mesoscale and Nanoscale Physics · Physics 2016-10-05 Yahya Alavirad , Jay D. Sau

Two-dimensional magnets have manifested themselves as promising candidates for quantum devices. We here report that the edge and strain effects during the device fabrication with two-dimensional honeycomb ferromagnets such as CrX$_3$ (X=Cl,…

Mesoscale and Nanoscale Physics · Physics 2023-06-07 Tianyu Liu , Zheng Shi , Hai-Zhou Lu , X. C. Xie

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

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

The chiral magnetic effect (CME) is a macroscopic transport effect resulting from the chiral anomaly. We review the recent progress in theoretical understanding the properties of chiral plasmas, in which the CME and other anomaly-induced…

High Energy Physics - Phenomenology · Physics 2018-03-14 Yuji Hirono

Weyl semimetals are one kind of three-dimensional gapless semimetal with nontrivial topology in the momentum space. The chiral anomaly in Weyl semimetals manifests as a charge imbalance between the Weyl nodes of opposite chiralities induced…

Strongly Correlated Electrons · Physics 2015-01-19 Jianhui Zhou , Hao-Ran Chang , Di Xiao

A quark interaction with topologically nontrivial gluonic fields, instantons and sphalerons, violates \P~ and \CP~ symmetry. In the strong magnetic field of a noncentral nuclear collision such interactions lead to the charge separation…

Nuclear Theory · Physics 2010-10-27 Sergei A. Voloshin

The massless fermions of a Weyl semimetal come in two species of opposite chirality, in two cones of the band structure. As a consequence, the current $j$ induced in one Weyl cone by a magnetic field $B$ (the chiral magnetic effect, CME) is…

Mesoscale and Nanoscale Physics · Physics 2017-05-23 T. E. O'Brien , C. W. J. Beenakker , I. Adagideli

Quantum anomalies are the breakdowns of classical conservation laws that occur in quantum-field theory description of a physical system. They appear in relativistic field theories of chiral fermions and are expected to lead to anomalous…

Mesoscale and Nanoscale Physics · Physics 2023-11-15 Pardeep Kumar Tanwar , Mujeeb Ahmad , Md Shahin Alam , Xiaohan Yao , Fazel Tafti , Marcin Matusiak

In this study, we explore the real-time dynamics of the chiral magnetic effect (CME) at a finite temperature in the (1+1)-dimensional QED, the massive Schwinger model. By introducing a chiral chemical potential $\mu_5$ through a quench…

High Energy Physics - Phenomenology · Physics 2024-10-08 Kazuki Ikeda , Zhong-Bo Kang , Dmitri E. Kharzeev , Wenyang Qian , Fanyi Zhao

The chiral anomaly is one of the robust quantum effects in relativistic field theories with a chiral symmetry where charges in chiral sectors appear to be separately conserved. The chiral anomaly, which is often associated with a…

Strongly Correlated Electrons · Physics 2026-02-27 Shuyang Wang , Jay D. Sau

Searching for exotic transport properties in new topological state of matters is an active topic. One of the most fascinating achievements is the chiral anomaly in recently discovered Weyl semimetals (WSMs), which is manifested as a…

Mesoscale and Nanoscale Physics · Physics 2018-10-17 Min Wu , Guolin Zheng , Weiwei Chu , Wenshuai Gao , Hongwei Zhang , Jianwei Lu , Yuyan Han , Jiyong Yang , Haifeng Du , Wei Ning , Yuheng Zhang , Mingliang Tian

Matter with chiral fermions is microscopically described by theory with quantum anomaly and macroscopically described (at low energy) by anomalous hydrodynamics. For such systems in the presence of external magnetic field and chirality…

Nuclear Theory · Physics 2016-03-10 Yi Yin , Jinfeng Liao

The prediction and subsequent discovery of topological semimetal phases of matter in solid state systems has instigated a surge of activity investigating the exotic properties of these unusual materials. Amongst these are transport…

Strongly Correlated Electrons · Physics 2024-06-21 Alireza Parhizkar , Colin Rylands , Victor Galitski

For systems with charged chiral fermions, the imbalance of chirality in the presence of magnetic field generates an electric current - this is the Chiral Magnetic Effect (CME). We study the dynamical real-time evolution of electromagnetic…

High Energy Physics - Theory · Physics 2016-01-29 Yuji Hirono , Dmitri Kharzeev , Yi Yin

Topological semimetals is a new class of condensed matter systems with nontrivial electronic structure topology. Their unusual observable properties may often be understood in terms of quantum anomalies. In particular, Weyl and Dirac…

Mesoscale and Nanoscale Physics · Physics 2018-04-06 A. A. Burkov

Weyl semimetals possess massless chiral quasi-particles, and are thus affected by the triangle anomalies. We discuss the features of the chiral magnetic and chiral vortical effects specific to Weyl semimetals, and then propose three novel…

High Energy Physics - Theory · Physics 2014-01-30 Gokce Basar , Dmitri E. Kharzeev , Ho-Ung Yee

We study the chiral anomaly in disordered Weyl semimetals, where the broken translational symmetry prevents the direct application of Nielsen and Ninomiya's mechanism and disorder is strong enough that quantum effects are important. In the…

Disordered Systems and Neural Networks · Physics 2019-01-25 Junhyun Lee , J. H. Pixley , Jay D. Sau
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