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We develop a semiclassical theory of sound absorption in Weyl semimetals in magnetic fields. We focus on the contribution to the absorption that stems from the existence of Berry monopoles in the band structure of such materials, or,…

Mesoscale and Nanoscale Physics · Physics 2021-06-30 Ohad Antebi , D. A. Pesin , A. V. Andreev , Roni Ilan

The phenomenon of nonlinear transport has attracted tremendous interest within the condensed matter community. We present a theoretical framework for nonlinear transport based on the nonequilibrium retarded Green's function, and examine the…

Strongly Correlated Electrons · Physics 2024-02-28 Mei-Wei Hu , Zhuo-Yan Fang , Hou-Jian Duan , Mou Yang , Ming-Xun Deng , Rui-Qiang Wang

We derive a relativistic chiral kinetic equation with manifest Lorentz covariance from Wigner functions of spin-1/2 massless fermions in a constant background electromagnetic field. It contains vorticity terms and a 4-dimensional Euclidean…

High Energy Physics - Theory · Physics 2013-07-30 Jiunn-Wei Chen , Shi Pu , Qun Wang , Xin-Nian Wang

We derive the quantum kinetic theory for fermions with arbitrary mass in a background electromagnetic field from the Wigner-function approach. Since spin of massive fermions is a dynamical degree of freedom, the kinetic equations with the…

High Energy Physics - Phenomenology · Physics 2019-11-27 Koichi Hattori , Yoshimasa Hidaka , Di-Lun Yang

We present a field theoretical model of anomalous transport in Weyl semi-metals. We calculate the Chiral Magnetic and Chiral Vortical Effect in the electric, axial (valley) and energy current. Our findings coincide with the results of a…

High Energy Physics - Theory · Physics 2014-02-26 Karl Landsteiner

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

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

Weyl fermions with nonlinear dispersion have appeared in real world systems, such as in the Weyl semi-metals and topological insulators. We consider the most general form of Dirac operators, and study its topological properties embedded in…

High Energy Physics - Theory · Physics 2020-02-19 Ho-Ung Yee , Piljin Yi

We consider as a model of Weyl semimetal thermoelectric transport a $(3+1)$-dimensional charged, relativistic and relaxed fluid with a $U(1)_{V} \times U(1)_{A}$ chiral anomaly. We take into account all possible mixed energy, momentum,…

High Energy Physics - Theory · Physics 2024-02-15 Andrea Amoretti , Daniel K. Brattan , Luca Martinoia , Ioannis Matthaiakakis , Jonas Rongen

In view of the recent applications of chiral anomaly to various fields beyond particle physics, we discuss some basic aspects of chiral anomaly which may help deepen our understanding of chiral anomaly in particle physics also. It is first…

High Energy Physics - Theory · Physics 2018-02-07 Kazuo Fujikawa

Chiral anomaly is a key feature of Lorentz-invariant quantum field theories: in presence of parallel external electric and magnetic fields, the number of massless Weyl fermions of a given chirality is not conserved. In condensed matter,…

Strongly Correlated Electrons · Physics 2026-02-20 Shantonu Mukherjee , Sayantan Sharma , Hridis K. Pal

A derivation of the anomaly-induced transport phenomena---the chiral magnetic/vortical effect---is revisited based on the imaginary-time formalism of quantum field theory. Considering the simplest anomalous system composed of a single Weyl…

High Energy Physics - Theory · Physics 2021-10-07 Masaru Hongo , Yoshimasa Hidaka

We consider the classical magnetoresistance of a Weyl metal in which the electron Fermi surface possess nonzero fluxes of the Berry curvature. Such a system may exhibit large negative magnetoresistance with unusual anisotropy as a function…

Mesoscale and Nanoscale Physics · Physics 2015-03-06 D. T. Son , B. Z. Spivak

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

We demonstrate that in an ideal Weyl semimetal, in which the Fermi energy coincides with the band-touching nodes, weak direct inter-nodal scattering is irrelevant and, as a result, the chiral charge is (almost) exactly conserved. This leads…

Mesoscale and Nanoscale Physics · Physics 2025-12-25 A. A. Burkov

Magnetotransport provides key experimental signatures in Weyl semimetals. The longitudinal magnetoresistance is linked to the chiral anomaly and the transversal magnetoresistance to the dominant charge relaxation mechanism. Axial magnetic…

Mesoscale and Nanoscale Physics · Physics 2020-04-20 Jan Behrends , Roni Ilan , Jens H. Bardarson

We study the hydrodynamics of a gas of noninteracting Weyl fermions coupled to the electromagnetic field in $(2N + 1) + 1$ spacetime dimensions using the chiral kinetic theory, which encodes the gauge anomaly in the Chern character of the…

High Energy Physics - Theory · Physics 2017-04-05 Vatsal Dwivedi , Michael Stone

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 calculate the magnetoconductivity of the Weyl semimetal with $\mathbb{Z}_2$ symmetry and chiral anomaly utilizing the recently developed hydrodynamic theory. The system in question will be influenced by magnetic fields connected with…

High Energy Physics - Theory · Physics 2019-01-30 Marek Rogatko , Karol I. Wysokinski

Employing a two-band model of Weyl semimetal, the existence of the chiral magnetic effect (CME) is established within the linear-response theory. The crucial role played by the limiting procedure in deriving correct transport properties is…

Mesoscale and Nanoscale Physics · Physics 2015-03-18 Ming-Che Chang , Min-Fong Yang