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Related papers: Theory of the strongly disordered Weyl semimetal

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In disordered Weyl semimetals, mechanisms of topological origin lead to the protection against Anderson localization, and at the same time to different types of transverse electromagnetic response -- the anomalous Hall, and chiral magnetic…

Mesoscale and Nanoscale Physics · Physics 2015-07-01 Alexander Altland , Dmitry Bagrets

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

Weyl semimetals are gapless quasi-topological materials with a set of isolated nodal points forming their Fermi surface. They manifest their quasi-topological character in a series of topological electromagnetic responses including the…

Mesoscale and Nanoscale Physics · Physics 2016-02-05 Hassan Shapourian , Taylor L. Hughes

Weyl semimetal is a solid material with isolated touching points between conduction and valence bands in its Brillouin zone -- Weyl points. Low energy excitations near these points exhibit a linear dispersion and act as relativistic…

Disordered Systems and Neural Networks · Physics 2024-01-24 M. E. Ismagambetov , P. M. Ostrovsky

The chiral magnetic effect is a one of the exotic bulk transport properties of the Weyl semimetals. Because of the Nielsen-Ninomiya "no-go theorem", the total chiral magnetic current is absent in the equilibrium state. One of the mechanisms…

Strongly Correlated Electrons · Physics 2020-01-08 Zaur Z. Alisultanov

We study magnetotransport in a disordered Weyl semimetal taking into account localization effects exactly. In the vicinity of a Weyl node, a single chiral Landau level coexists with a number of conventional non-chiral levels. Disorder…

Mesoscale and Nanoscale Physics · Physics 2017-09-13 E. Khalaf , P. M. Ostrovsky

Chiral anomalies give rise to dissipationless transport phenomena such as the chiral magnetic and vortical effects. In these notes I review the theory from a quantum field theoretic, hydrodynamic and holographic perspective. A physical…

High Energy Physics - Theory · Physics 2017-05-01 Karl Landsteiner

In this paper, we numerically study the magnetic transport properties of disordered Weyl semimetals (WSM) in the ultra-quantum limit. We find a positive magnetic conductivity for the long-range disorder, although the system tends to have…

Mesoscale and Nanoscale Physics · Physics 2016-04-27 Chui-Zhen Chen , Haiwen Liu , Hua Jiang , X. C. Xie

We study the density of states and magnetotransport properties of disordered Weyl semimetals, focusing on the case of a strong long-range disorder. To calculate the disorder-averaged density of states close to nodal points, we treat exactly…

Mesoscale and Nanoscale Physics · Physics 2016-03-28 D. A. Pesin , E. G. Mishchenko , A. Levchenko

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

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

Weyl fermions are one of the simplest objects that link ideas in geometry and topology to highenergy physics and condensed matter physics. Although the existence of Weyl fermions as elementary particles remains dubious, there is mounting…

Mesoscale and Nanoscale Physics · Physics 2024-06-05 Azaz Ahmad , Gautham Varma K. , Gargee Sharma

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 present a theory of magnetotransport phenomena related to the chiral anomaly in Weyl semimetals. We show that conductivity, thermal conductivity, thermoelectric and the sound absorption coefficients exhibit strong and anisotropic…

Mesoscale and Nanoscale Physics · Physics 2016-02-10 B. Z. Spivak , A. V. Andreev

Weyl semimetals are paradigmatic topological gapless phases in three dimensions. We here address the effect of disorder on charge transport in Weyl semimetals. For a single Weyl node with energy at the degeneracy point and without…

Mesoscale and Nanoscale Physics · Physics 2014-07-14 Björn Sbierski , Gregor Pohl , Emil J. Bergholtz , Piet W. Brouwer

Weyl fermions are powerful yet simple entities that connect geometry, topology, and physics. While their existence as fundamental particles is still uncertain, growing evidence shows they emerge as quasiparticles in special materials called…

Mesoscale and Nanoscale Physics · Physics 2025-06-17 Azaz Ahmad

For the solid state physics, recent interest to topological systems is mostly connected with topological semimetals, in particular, to Weyl ones as the most representative semimetal type. Like other topological materials, e.g. topological…

Mesoscale and Nanoscale Physics · Physics 2026-05-22 E. V. Deviatov

We theoretically investigate the transport and magnetotransport properties of three-dimensional Weyl semimetals. Using the RPA-Boltzmann transport scattering theory for electrons scattering off randomly distributed charged impurities,…

Mesoscale and Nanoscale Physics · Physics 2015-12-23 Navneeth Ramakrishnan , Mirco Milletari , Shaffique Adam

We develop a topological theory for disordered Weyl semimetals in the framework of gauge invariance of replica formalism and boundary-bulk correspondence of Chern insulators. An anisotropic topological $\theta$-term is analytically derived…

Mesoscale and Nanoscale Physics · Physics 2016-11-21 Y. X. Zhao , Z. D. Wang

We present a microscopic theory of diffusive magnetotransport in Weyl metals and clarify its relation to chiral anomaly. We derive coupled diffusion equations for the total and axial charge densities and show that chiral anomaly manifests…

Mesoscale and Nanoscale Physics · Physics 2014-12-17 A. A. Burkov
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