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We study second harmonic generation in centrosymmetric Weyl semimetal with broken time reversal symmetry. We calculate electric current density at the double frequency of the propagating electromagnetic field in the presence of applied…

Mesoscale and Nanoscale Physics · Physics 2017-03-03 A. A. Zyuzin , A. Yu. Zyuzin

The spectrum of collective excitations in Weyl materials is studied by using consistent hydrodynamics. The corresponding framework includes the vortical and chiral anomaly effects, as well as the dependence on the separations between the…

Strongly Correlated Electrons · Physics 2018-06-13 P. O. Sukhachov , E. V. Gorbar , I. A. Shovkovy , V. A. Miransky

When subjected to parallel electric field $\mathbf E$ and magnetic field $\mathbf B$, Weyl semimetals exhibit the exotic transport property known as the chiral anomaly due to the pumping of electrons between Weyl cones of opposite…

Mesoscale and Nanoscale Physics · Physics 2019-06-19 Tianyu Liu , Zheng Shi

Nonlinear Hall effect arises in materials without inversion symmetry, and the intrinsic contribution is typically from Berry curvature dipole of non-universal Fermi pockets. Here we propose that nonlinear Hall effect can reach quantization…

Strongly Correlated Electrons · Physics 2024-11-12 Nikolai Peshcherenko , Claudia Felser , Yang Zhang

The discovery of Weyl and Dirac semimetals has produced a number of dramatic physical effects, including the chiral anomaly and topological Fermi arc surface states. We point out that a very different but no less dramatic physical effect is…

Materials Science · Physics 2018-07-09 Haiwen Liu , Hua Jiang , Ziqiang Wang , Robert Joynt , X. C. Xie

We report the electrical transport properties for Weyl semimetal TaAs in an intense magnetic field. Series of anomalies occur in the longitudinal magnetoresistance and Hall signals at ultra-low temperatures when the Weyl electrons are…

Mesoscale and Nanoscale Physics · Physics 2017-01-24 Cheng-Long Zhang , Bingbing Tong , Zhujun Yuan , Ziquan Lin , Junfeng Wang , Jinglei Zhang , Chuan-Ying Xi , Zhong Wang , Shuang Jia , Chi Zhang

The chiral anomaly in Weyl semimetals states that the left- and right-handed Weyl fermions, constituting the low energy description, are not individually conserved, resulting, for example, in a negative magnetoresistance in such materials.…

Mesoscale and Nanoscale Physics · Physics 2018-04-09 Jan Behrends , Jens H. Bardarson

For a generic lattice Hamiltonian of the electron states in Weyl materials, we calculate analytically the chiral (or, equivalently, valley) charge and current densities in the first order in background electromagnetic and strain-induced…

Mesoscale and Nanoscale Physics · Physics 2017-09-19 E. V. Gorbar , V. A. Miransky , I. A. Shovkovy , P. O. Sukhachov

TaRhTe$_4$ is a type-IIWeyl semimetal, exhibiting fourWeyl points in proximity to the Fermi level. In this article, we report our results of a systematic study of longitudinal magnetoresistance in TaRhTe$_4$. Our findings indicate that…

We study the propagation of an oscillatory electromagnetic field inside a Weyl semimetal. In conventional conductors, the motion of the charge carriers in the skin layer near the surface can be diffusive, ballistic, or hydrodynamic. We show…

Mesoscale and Nanoscale Physics · Physics 2022-03-16 Paweł Matus , Renato M. A. Dantas , Roderich Moessner , Piotr Surówka

Magnetotransport investigation of a half-Heusler antiferromagnet DyPdBi revealed hallmark features of Weyl semimetal: huge negative longitudinal magnetoresistance and planar Hall effect. Both effects have recently been linked to chiral…

Materials Science · Physics 2019-04-11 Orest Pavlosiuk , Dariusz Kaczorowski , Piotr Wiśniewski

Studying many-body versions of Landau-Zener-like problems of non-interacting electrons in the Slater formalism for several $k \cdot p$ models representing Weyl and Dirac semimetals, we systematically include non-adiabatic corrections to a…

Mesoscale and Nanoscale Physics · Physics 2022-08-23 Matej Badin

Topological charge changing transitions can induce chirality in the quark-gluon plasma by the axial anomaly. We study the equilibrium response of the quark-gluon plasma in such a situation to an external magnetic field. To mimic the effect…

High Energy Physics - Phenomenology · Physics 2008-11-26 Kenji Fukushima , Dmitri E. Kharzeev , Harmen J. Warringa

We study Dirac fermions in the presence of a space-dependent chiral gauge field and thermodynamic gradients, establishing a connection to the inverse spin Hall effect. The chiral gauge field induces a chiral magnetic field, resulting in a…

Mesoscale and Nanoscale Physics · Physics 2024-10-10 Hung-Hsuan Teh , Tokiro Numasawa , Shun Okumura , Takashi Oka

The planar Hall effect (PHE), the appearance of an in-plane transverse voltage in the presence of coplanar electric and magnetic fields, has been ascribed to the chiral anomaly and Berry curvature effects in Weyl semimetals. In the presence…

Mesoscale and Nanoscale Physics · Physics 2023-10-06 L. Medel Onofre , A. Martín-Ruiz

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

From a direct calculation of the anomalous Hall conductivity and an effective electromagnetic action obtained via Fujikawa's chiral rotation technique, we conclude that an axionic field theory with a non-quantized coefficient describes the…

Mesoscale and Nanoscale Physics · Physics 2013-12-17 Pallab Goswami , Sumanta Tewari

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

Weyl semimetals are a three dimensional topological phase of matter with linearly dispersed Weyl points which appear in pairs and carry opposite chirality. The separation of paired Weyl points allows charge transfer between them in the…

Mesoscale and Nanoscale Physics · Physics 2019-01-08 Salah Uddin , Wenye Duan , Jun Wang , Zhongshui Ma , Jun-Feng Liu

We generalize a semiclassical theory and use the argument of angular momentum conservation to examine the ballistic transport in lightly-doped Weyl semimetals, taking into account various phase-space Berry curvatures. We predict universal…

Mesoscale and Nanoscale Physics · Physics 2015-10-14 Shengyuan A. Yang , Hui Pan , Fan Zhang