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Quantum anomalies in Weyl semimetal (for either ${\bf E}\cdot{\bf B} \neq 0$ or ${\bf \nabla}T\cdot{\bf B} \neq 0$) leads to chiral charge and energy pumping between the opposite chirality nodes. This results in chiral charge and energy…

Mesoscale and Nanoscale Physics · Physics 2020-02-05 Kamal Das , Amit Agarwal

We investigate linear and nonlinear transverse planar transport phenomena (viz. linear and nonlinear Hall and Nernst coefficients) induced by chiral anomaly in three-dimensional spin-orbit coupled metallic systems. Unlike Weyl semimetals,…

Mesoscale and Nanoscale Physics · Physics 2025-09-11 Rishi G. Gopalakrishnan , Binayyak B. Roy , Gargee Sharma , Sumanta Tewari

Weyl semimetals are three-dimensional crystalline systems where pairs of bands touch at points in momentum space, termed Weyl nodes, that are characterized by a definite topological charge: the chirality. Consequently, they exhibit the…

Strongly Correlated Electrons · Physics 2015-10-05 S. A. Parameswaran , T. Grover , D. A. Abanin , D. A. Pesin , A. Vishwanath

Recently, the existence of massless chiral (Weyl) fermions has been postulated in a class of semi-metals with a non-trivial energy dispersion.These materials are now commonly dubbed Weyl semi-metals (WSM).One predicted property of Weyl…

Materials Science · Physics 2016-08-12 R. D. dos Reis , M. O. Ajeesh , N. Kumar , F. Arnold , C. Shekhar , M. Naumann , M. Schmidt , M. Nicklas , E. Hassinger

The chiral magnetic effect is a one of the exotic bulk transport properties of the Weyl semimetals. Because of the Nielsen-Ninomiya "no-go theorem", the total chiral magnetic current is absent in the equilibrium state. One of the mechanisms…

Strongly Correlated Electrons · Physics 2020-01-08 Zaur Z. Alisultanov

In the presence of parallel electric and magnetic fields, the violation of separate number conservation laws for the three dimensional left and right handed Weyl fermions is known as the chiral anomaly. The recent discovery of Weyl and…

Mesoscale and Nanoscale Physics · Physics 2024-02-20 Gargee Sharma , Pallab Goswami , Sumanta Tewari

We predict a nonlinear Hall effect in certain Weyl semimetals with broken inversion symmetry. When the energy dispersions about pairs of Weyl nodes are skewed -- the Weyl cones are "tilted" -- the concerted actions of the anomalous velocity…

Mesoscale and Nanoscale Physics · Physics 2021-01-19 Rui-Hao Li , Olle G. Heinonen , Anton A. Burkov , Steven S. -L. Zhang

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

In Weyl semimetals subjected to torsion, there are two different kinds of chirality: i) the (coordinate-space) shape of the twisted crystal is chiral, and ii) the momentum space contains chiral quasi-particles. Here we construct a general…

Mesoscale and Nanoscale Physics · Physics 2021-08-25 Lan-Lan Gao , Sahal Kaushik , Dmitri E. Kharzeev , Evan John Philip

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 discovery of a chiral anomaly in Weyl semimetals, the non-conservation of chiral charge and energy across two opposite chirality Weyl nodes, has sparked immense interest in understanding its impact on various physical phenomena. Here,…

Mesoscale and Nanoscale Physics · Physics 2023-07-19 Sunit Das , Kamal Das , Amit Agarwal

Magneto conductivities in Weyl semimetals (WSM) in presence of small fields are studied using quasi-classical Boltzmann transport equations (BTE). Following such formalism here we consider irradiation via circularly polarized light on a…

Strongly Correlated Electrons · Physics 2022-10-11 Rounak Sen , Satyaki Kar

Multi-Weyl semimetals are a kind of topological phase of matter with discrete Weyl nodes characterized by multiple monopole charges, in which the chiral anomaly, the anomalous nonconservation of an axial current, occurs in the presence of…

Mesoscale and Nanoscale Physics · Physics 2017-08-09 Ze-Min Huang , Jianhui Zhou , Shun-Qing Shen

Weyl semimetals (WSMs) are topological quantum states wherein the electronic bands linearly disperse around pairs of nodes, the Weyl points, of fixed (left or right) chirality. The recent discovery of WSM materials triggered an experimental…

Recent studies have shown that chiral anomaly is not limited to Weyl semimetals (WSMs), but are also shown by a larger class of materials called spin orbit coupled noncentrosymmetric metals (SOC-NCMs),which has shed more insight into the…

Mesoscale and Nanoscale Physics · Physics 2026-01-08 Gautham Varma K , Mohd. Hashim Raza , Azaz Ahmad

Weyl semimetals provide the realization of Weyl fermions in solid-state physics. Among all the physical phenomena that are enabled by Weyl semimetals, the chiral anomaly is the most unusual one. Here, we report signatures of the chiral…

Weyl semimetals are predicted to realize the three-dimensional axial anomaly first discussed in particle physics. The anomaly leads to unusual transport phenomena such as the chiral magnetic effect in which an applied magnetic field induces…

Mesoscale and Nanoscale Physics · Physics 2016-11-23 Edwin Barnes , J. J. Heremans , Djordje Minic

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

We demonstrate that topological transport phenomena, characteristic of Weyl semimetals, namely the semi-quantized anomalous Hall effect and the chiral magnetic effect (equilibrium magnetic-field-driven current), may be thought of as two…

Mesoscale and Nanoscale Physics · Physics 2012-09-27 A. A. Zyuzin , A. A. Burkov

Electronic transport in Weyl semimetals is quite extraordinary due to the topological property of the chiral anomaly generating the charge pumping between two distant Weyl nodes with opposite chiralities under parallel electric and magnetic…

Strongly Correlated Electrons · Physics 2021-08-18 Kyusung Hwang , Woo-Ram Lee , Kwon Park
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