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We provide a review of recent experimental results on the chiral anomaly in Dirac/Weyl semimetals. After a brief introduction, we trace the steps leading to the prediction of materials that feature protected 3D bulk Dirac nodes. The chiral…

Strongly Correlated Electrons · Physics 2021-10-29 N. P. Ong , Sihang Liang

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

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

Solids with topologically robust electronic states exhibit unusual electronic and optical transport properties that do not exist in other materials. A particularly interesting example is chiral charge pumping, the so-called chiral anomaly,…

Recent studies suggest that the nonlinear transport properties in Weyl semimetal may be a measurable consequence of its chiral anomaly. Nonlinear responses in transport are estimated to be substantial, because in real materials such as TaAs…

Mesoscale and Nanoscale Physics · Physics 2023-05-16 Min Ju Park , Suik Cheon , Hyun-Woo Lee

The chiral anomaly is the predicted break down of chiral symmetry in a Weyl semimetal with monopoles of opposite chirality when an electric field parallel to a magnetic field is applied. It occurs because of charge pumping from a positive…

Materials Science · Physics 2021-06-09 Dung Vu , Wenjuan Zhang , Cüneyt Şahin , Michael E. Flatté , Nandini Trivedi , Joseph P. Heremans

In Weyl semimetals the application of parallel electric and magnetic fields leads to valley polarization -- an occupation disbalance of valleys of opposite chirality -- a direct consequence of the chiral anomaly. In this work, we present…

Mesoscale and Nanoscale Physics · Physics 2021-09-02 Pablo M. Perez-Piskunow , Nicandro Bovenzi , Anton R. Akhmerov , Maxim Breitkreiz

We investigate the role of the chiral anomaly in hydrodynamic and crossover regimes of transport in a Weyl or Dirac semimetal film. We show that the magnetic-field-dependent part of the electric conductivity in the direction of the magnetic…

Mesoscale and Nanoscale Physics · Physics 2022-02-25 P. O. Sukhachov , Björn Trauzettel

The Dirac and Weyl semimetals are unusual materials in which the nodes of the bulk states are protected against gap formation by crystalline symmetry. The chiral anomaly~\cite{Adler,Bell}, predicted to occur in both systems, was recently…

Strongly Correlated Electrons · Physics 2017-06-19 Max Hirschberger , Satya Kushwaha , Zhijun Wang , Quinn Gibson , Carina A. Belvin , B. A. Bernevig , R. J. Cava , N. P. Ong

Parallel electric and magnetic fields applied to Weyl semimetals pump axial charge via the axial anomaly until balanced by intervalley relaxation. The resulting nonequilibrium steady state exhibits the chiral magnetic effect as well as the…

Mesoscale and Nanoscale Physics · Physics 2023-03-01 Yusuke Nishida

We propose an experimental setup using 3D Dirac semimetals to access a novel phenomenon induced by the chiral anomaly. We show that the combination of a magnetic field and a circularly polarized laser induces a finite charge density with an…

Strongly Correlated Electrons · Physics 2016-04-13 Shu Ebihara , Kenji Fukushima , Takashi Oka

The low-energy quasiparticles of Weyl semimetals are a condensed-matter realization of the Weyl fermions introduced in relativistic field theory. Chiral anomaly, the nonconservation of the chiral charge under parallel electric and magnetic…

Materials Science · Physics 2017-12-29 Pilkwang Kim , Ji Hoon Ryoo , Cheol-Hwan Park

Chiral anomaly or Adler-Bell-Jackiw anomaly in Weyl semimetals (WSMs) has a significant impact on the electron transport behaviors, leading to remarkable longitudinal or planar electrical and thermoelectric transport phenomena in the…

Mesoscale and Nanoscale Physics · Physics 2022-03-29 Chuanchang Zeng , Snehasish Nandy , Sumanta Tewari

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 study electric field and temperature gradient driven magnetoconductivity of a Weyl semimetal system. To analyze the responses, we utilize the kinetic equation with semiclassical equations of motion modified by the Berry curvature and…

Mesoscale and Nanoscale Physics · Physics 2021-02-16 Vladimir A. Zyuzin

Dirac and Weyl semimetals form an ideal platform for testing ideas developed in high energy physics to describe massless relativistic particles. One such quintessentially field-theoretic idea of chiral anomaly already resulted in the…

Mesoscale and Nanoscale Physics · Physics 2016-11-03 D. I. Pikulin , Anffany Chen , M. Franz

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

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

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

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
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