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We review recent theoretical and experimental developments in magnetic Weyl semimetals, focusing on the electromagnetic responses emerging from the interplay of their electronic band topology and magnetism. We begin by introducing the…

Mesoscale and Nanoscale Physics · Physics 2026-03-25 Akihiro Ozawa , Yasufumi Araki , Koji Kobayashi , Kentaro Nomura

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

Weyl semimetals (WSM) are a new class of topological materials that exhibit a bulk Hall effect due to time-reversal symmetry breaking, as well as a chiral magnetic effect due to inversion symmetry breaking. These unusual electromagnetic…

High Energy Physics - Theory · Physics 2019-05-01 A. Martín-Ruiz , M. Cambiaso , L. F. Urrutia

We theoretically study the magnetoconductivity of the Weyl semimetal having a surface boundary under $E$ || $B$ geometry and demonstrate that the topological surface state plays an essential role in the magnetotransport. In the long-range…

Mesoscale and Nanoscale Physics · Physics 2016-06-20 Yuya Ominato , Mikito Koshino

Noncentrosymmetric metals are anticipated to exhibit a $dc$ photocurrent in the nonlinear optical response caused by the Berry curvature dipole in momentum space. Weyl semimetals (WSMs) are expected to be excellent candidates for observing…

Materials Science · Physics 2018-01-10 Yang Zhang , Yan Sun , Binghai Yan

Weyl semimetals are intriguing topological states of matter that support various anomalous magneto-transport phenomena. One such phenomenon is a negative longitudinal ($\mathbf{\nabla} T \parallel \mathbf{B}$) magneto-thermal resistivity,…

Mesoscale and Nanoscale Physics · Physics 2019-09-18 S. Nandy , A. Taraphder , Sumanta Tewari

Dirac metals (gapless semi-conductors) are believed to turn into Weyl metals when perturbations, which break either time reversal symmetry or inversion symmetry, are employed. However, no experimental evidence has been reported for the…

Strongly Correlated Electrons · Physics 2014-02-27 Heon-Jung Kim , Ki-Seok Kim , J. F. Wang , M. Sasaki , N. Satoh , A. Ohnishi , M. Kitaura , M. Yang , L. Li

Unusual magnetotransport behaviors, such as temperature-dependent negative magnetoresistance (MR) and bowtie-shaped MR, have puzzled us for a long time. Although several mechanisms have been proposed to explain these phenomena, the absence…

Materials Science · Physics 2025-09-23 Zhihao Liu , Shengnan Zhang , Zhong Fang , Hongming Weng , Quansheng Wu

We predict a large anomalous Nernst effect in the inverse Heusler compensated ferrimagnets Ti$_2$Mn$X$ ($X$=Al,Ga,In) with vanishing net magnetic moments. Though the net magnetic moment is zero, the Weyl points in these systems lead to a…

Materials Science · Physics 2020-03-30 Jonathan Noky , Jacob Gayles , Claudia Felser , Yan Sun

We show that Weyl semimetals with broken time-reversal symmetry can host chiral electromag- netic waves. The magnetization that results in a momentum space separation of a pair of opposite chirality Weyl nodes is also responsible for the…

Mesoscale and Nanoscale Physics · Physics 2016-01-05 A. A. Zyuzin , V. A. Zyuzin

We consider the phenomenon of natural optical activity, and related chiral magnetic effect in metals with low carrier concentration. To reveal the correspondence between the two phenomena, we compute the optical conductivity of a…

Mesoscale and Nanoscale Physics · Physics 2015-12-18 Jing Ma , D. A. Pesin

We theoretically study the effect of the Berry curvature on the transport properties of Weyl semimetals in the nonadiabatic process, which results in nonlinear optical responses. In the adiabatic process, the Berry curvature, which involves…

Mesoscale and Nanoscale Physics · Physics 2017-06-28 Hiroaki Ishizuka , Tomoya Hayata , Masahito Ueda , Naoto Nagaosa

The chiral anomaly, a hallmark of chiral spin-1/2 Weyl fermions, is an imbalance between left- and right-moving particles that underpins both high and low energy phenomena, including particle decay and negative longitudinal…

Mesoscale and Nanoscale Physics · Physics 2024-08-07 F. Balduini , A. Molinari , L. Rocchino , V. Hasse , C. Felser , M. Sousa , C. Zota , H. Schmid , A. G. Grushin , B. Gotsmann

Weyl semimetals (WSMs) have Weyl nodes where conduction and valence bands meet in the absence of inversion or time-reversal symmetry (TRS), or both. Interesting phenomena are expected in WSMs such as the chiral magnetic effect, anomalous…

Mesoscale and Nanoscale Physics · Physics 2018-08-22 John W. Villanova , Kyungwha Park

We evaluate the sound attenuation in a Weyl semimetal subject to a magnetic field or a pseudomagnetic field associated with a strain. Due to the interplay of intra- and inter-node scattering processes as well as screening, the fields…

Mesoscale and Nanoscale Physics · Physics 2023-09-06 P. O. Sukhachov , L. I. Glazman

We continue our investigation of the response tensors in planar Hall (or planar thermal Hall) configurations where a three-dimensional Weyl/multi-Weyl semimetal is subjected to the combined influence of an electric field $\mathbf E $…

Mesoscale and Nanoscale Physics · Physics 2024-11-06 Leonardo Medel , Rahul Ghosh , Alberto Martín-Ruiz , Ipsita Mandal

Inter-band effects of magnetic field on orbital magnetic susceptibility and Hall effect in weak magnetic field have been studied theoretically at absolute zero for the model of massless Fermions in two dimension described by Weyl equation…

Strongly Correlated Electrons · Physics 2009-11-13 H. Fukuyama

Recently, a class of Dirac semimetals, such as \textrm{Na}$_{\mathrm{3}}% $\textrm{Bi} and \textrm{Cd}$_{\mathrm{2}}$\textrm{As}$_{\mathrm{3}}$, are discovered to carry $\mathbb{Z}_{2}$ monopole charges. We present an experimental mechanism…

Mesoscale and Nanoscale Physics · Physics 2019-12-10 Ming-Xun Deng , Yan-Yan Yang , Wei Luo , R. Ma , Rui-Qiang Wang , L. Sheng , D. Y. Xing

We theoretically investigated the magnetoresistance (MR) and planar Hall effect (PHE) in Weyl semimetals based on the semiclassical Boltzmann theory, focusing on the fine structure of the band dispersion. We identified that the negative…

Mesoscale and Nanoscale Physics · Physics 2022-06-15 Akiyoshi Yamada , Yuki Fuseya

Having the chiral anomaly induced magneto-transport phenomena extensively studied in single Weyl semimetal (WSM) as characterized by topological charge $n=1$, we here address the transport properties in the context of multi-Weyl semimetals…

Mesoscale and Nanoscale Physics · Physics 2020-12-01 Tanay Nag , Snehasish Nandy