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We theoretically address the effects of strong magnetic fields in three-dimensional Weyl semimetals (WSMs) built out of Weyl nodes with a monopole charge $n$. For $n=1$, $2$, and $3$ we realize single, double, and triple WSM, respectively,…

Materials Science · Physics 2016-11-29 Xiao Li , Bitan Roy , S. Das Sarma

The Planar Hall effect (PHE) in topological materials has been a subject of great interest in recent years. Generally, it is understood to originate from the chiral-anomaly (CA) induced charge pumping between doubly degenerate Weyl nodes.…

Strongly Correlated Electrons · Physics 2024-01-12 Sonika , Sunil Gagwar , Nikhlesh Singh Mehta , G. Sharma , C. S. Yadav

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

Including the effect of the trivial band near Weyl nodes, we evaluate the longitudinal magnetoconductivity (LMC) of Weyl semimetals along the magnetic field direction using the Boltzmann magnetotransport theory, and study its dependence on…

Mesoscale and Nanoscale Physics · Physics 2024-03-19 Jeonghyeon Suh , Hongki Min

Weyl semimetals host relativistic chiral quasiparticles, which display quantum anomalies in the presence of external electromagnetic fields. Here, we study the manifestations of chiral anomalies in the longitudinal and planar…

Mesoscale and Nanoscale Physics · Physics 2023-01-06 Kamal Das , Sahil Kumar Singh , Amit Agarwal

We experimentally investigate a non-linear Hall effect for three-dimensional WTe$_2$ and Cd$_3$As$_2$ single crystals, representing Weyl and Dirac semimetals, respectively. We observe finite second-harmonic Hall voltage, which depends…

Mesoscale and Nanoscale Physics · Physics 2019-08-07 O. O. Shvetsov , V. D. Esin , A. V. Timonina , N. N. Kolesnikov , E. V. Deviatov

The planar Hall effect (PHE) is a powerful tool for characterizing Weyl semimetals (WSMs). Here, we inves- tigate the PHE in general anisotropic WSMs under strong magnetic fields. We analytically derive the Landau levels (LLs) and their…

Mesoscale and Nanoscale Physics · Physics 2025-04-25 Fu-Yang Chen , Zhuo-Hua Chen , Hou-Jian Duan , Mou Yang , Rui-Qiang Wang , Ming-Xun Deng

We predict a nonlinear Hall effect in certain Weyl semimetals with broken inversion symmetry. When the energy dispersions about pairs of Weyl nodes are skewed -- the Weyl cones are "tilted" -- the concerted actions of the anomalous velocity…

Mesoscale and Nanoscale Physics · Physics 2021-01-19 Rui-Hao Li , Olle G. Heinonen , Anton A. Burkov , Steven S. -L. Zhang

By making use of the Kubo formula, we calculate the conductivity of Dirac and Weyl semimetals in a magnetic field. We find that the longitudinal (along the direction of the magnetic field) magnetoresistivity is negative at sufficiently…

Mesoscale and Nanoscale Physics · Physics 2014-02-25 E. V. Gorbar , V. A. Miransky , I. A. Shovkovy

We evaluate the topological character of TaAs through a detailed study of the angular, magnetic-field and temperature dependence of its magnetoresistivity and Hall-effect(s), and of its bulk electronic structure through quantum oscillatory…

Hall effect of topological quantum materials often reveals essential new physics and possesses potential for application. Magnetic Weyl semimetal is one especially interesting example that hosts an interplay between the spontaneous…

Mesoscale and Nanoscale Physics · Physics 2024-10-18 Xiao-Xiao Zhang , Naoto Nagaosa

We present the Planar Hall effect studies on the Cu intercalated type-II Dirac semimetal PdTe$_{2}$. The electrical resistivity exhibits a positive field dependence both in perpendicular and parallel field directions, causing non-zero…

Strongly Correlated Electrons · Physics 2024-06-19 Sonika , M. K. Hooda , Shailja Sharma , C. S. Yadav

We develop a fully quantum-mechanical theory of negative magnetoresistance in multi-Weyl semimetals in the ${\bf E}\parallel{\bf B}$ configuration, where the chiral anomaly is activated. The magnetotransport response is governed by Landau…

Mesoscale and Nanoscale Physics · Physics 2026-01-01 Arka Ghosh , Sushmita Saha , Alestin Mawrie

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

Recently, chiral anomaly (CA) has been proposed to occur in spin-orbit coupled noncentrosymmetric metals (SOC-NCMs), motivating CA to be a Fermi surface property rather than a Weyl node property. Although the nature of the anomaly is…

Mesoscale and Nanoscale Physics · Physics 2023-11-01 Gautham Varma K , Azaz Ahmad , Sumanta Tewari , G. Sharma

The nodal points in a Weyl semimetal are generally considered as the causes of the chiral anomaly and the chiral magnetic effect (CME). Employing a linear-response analysis of a two-band lattice model, we show that the Weyl nodes and thus…

Mesoscale and Nanoscale Physics · Physics 2015-11-10 Ming-Che Chang , Min-Fong Yang

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

We investigate the 3D quantum Hall effect in Weyl semimetals and elucidate a global picture of the edge states. The edge states hosting 3D quantum Hall effect are combinations of Fermi arcs and chiral bulk Landau levels parallel to the…

Mesoscale and Nanoscale Physics · Physics 2020-07-17 Hailong Li , Haiwen Liu , Hua Jiang , X. C. Xie

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

In the presence of parallel electric and magnetic fields, the violation of separate number conservation laws for the three dimensional left and right handed Weyl fermions is known as the chiral anomaly. The recent discovery of Weyl and…

Mesoscale and Nanoscale Physics · Physics 2024-02-20 Gargee Sharma , Pallab Goswami , Sumanta Tewari