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We report on the mean-field study of the Chiral Magnetic Effect (CME) in static magnetic fields within a simple model of a parity-breaking Weyl semimetal given by the lattice Wilson-Dirac Hamiltonian with constant chiral chemical potential.…

Strongly Correlated Electrons · Physics 2015-12-07 P. V. Buividovich , M. Puhr , S. N. Valgushev

We propose a torsional response raised by lattice dislocation in Weyl semimetals akin to chiral magnetic effect; i.e. a fictitious magnetic field arising from screw or edge dislocation induces charge current. We demonstrate that, in sharp…

Mesoscale and Nanoscale Physics · Physics 2016-04-27 Hiroaki Sumiyoshi , Satoshi Fujimoto

The electric and chiral current response to the time- and coordinate-dependent pseudoelectric field $\mathbf{E}_5$ in Weyl semimetals is studied. It is found that $\mathbf{E}_5$ leads to an electric current in the direction perpendicular to…

Mesoscale and Nanoscale Physics · Physics 2022-07-26 A. A. Herasymchuk , P. O. Sukhachov , E. V. Gorbar

It has been suggested recently, based on subtle field-theoretical considerations, that the electromagnetic response of Weyl semimetals and the closely related Weyl insulators can be characterized by an axion term E.B with space and time…

Mesoscale and Nanoscale Physics · Physics 2013-10-11 M. M. Vazifeh , 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

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

Weyl semimetal may be thought of as a gapless topological phase protected by the chiral anomaly, where the symmetries involved in the anomaly are the $U(1)$ charge conservation and the crystal translational symmetry. The absence of a band…

Strongly Correlated Electrons · Physics 2020-03-09 Chong Wang , L. Gioia , A. A. Burkov

The chiral magnetic effect is a phenomenon where an electromagnetic current is generated along a magnetic field. Recently, in nonequilibrium systems, negative longitudinal magnetoresistance has been observed experimentally in Dirac/Weyl…

Mesoscale and Nanoscale Physics · Physics 2017-04-18 Yohei Ibe , Hiroaki Sumiyoshi

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

The experimental verification of chiral anomaly in Weyl semimetals is an active area of investigation in modern condensed matter physics, which typically relies on the combined signatures of longitudinal magnetoconductance (LMC) along with…

Mesoscale and Nanoscale Physics · Physics 2024-02-16 Azaz Ahmad , Gargee Sharma

We show that under the effect of an external electric field and a gradient of chemical potential, a topological electric current can be induced in Weyl semimetals without inversion and mirror symmetries. We derive analytic expressions for…

Mesoscale and Nanoscale Physics · Physics 2021-02-03 R. Flores-Calderón , A. Martín-Ruiz

We formulate a linear response theory of the chiral magnetic effect in a finite Weyl semimetal, expressing the electrical current density $j$ induced by a slowly oscillating magnetic field $B$ or chiral chemical potential $\mu$ in terms of…

Mesoscale and Nanoscale Physics · Physics 2016-04-15 P. Baireuther , J. A. Hutasoit , J. Tworzydło , C. W. J. Beenakker

It was shown recently that Weyl fermions in a superconducting vortex lattice can condense into Landau levels. Here we study the chiral magnetic effect in the lowest Landau level: The appearance of an equilibrium current $I$ along the lines…

Mesoscale and Nanoscale Physics · Physics 2020-06-02 M. J. Pacholski , C. W. J. Beenakker , İ. Adagideli

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

Condensed matter systems realizing Weyl fermions exhibit striking phenomenology derived from their topologically protected surface states as well as chiral anomalies induced by electromagnetic fields. More recently, inhomogeneous strain or…

Mesoscale and Nanoscale Physics · Physics 2020-04-20 Jan Behrends , Sthitadhi Roy , Michael H. Kolodrubetz , Jens H. Bardarson , Adolfo G. Grushin

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

A low-energy model is built to study systems such as Dirac/Weyl semimetals, according to statistical quantum electrodynamics formalism. We report that the introduction of a pseudoscalar, associated to longitudinal photons propagating along…

Mesoscale and Nanoscale Physics · Physics 2024-02-28 J. L. Acosta Avalo , H. Pérez Rojas

We begin this review with an introduction and a discussion of Weyl fermions as emergent particles in condensed matter systems, and explain how high energy phenomena like the chiral anomaly can be seen in low energy experiments. We then…

Mesoscale and Nanoscale Physics · Physics 2016-03-23 Sumathi Rao

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

Weyl semimetals are predicted to host signature magneto-optical properties sourced by their peculiar Landau level structure, including the chiral level. Analytical studies are often leaving out the Hall component of the conductivity due to…

Mesoscale and Nanoscale Physics · Physics 2024-02-15 Marcus Stålhammar
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