Universität zu Köln

Altland, Alexander ORCID: 0000-0002-2991-4805 and Bagrets, Dmitry ORCID: 0000-0002-3985-4834 (2016). Theory of the strongly disordered Weyl semimetal. Phys. Rev. B, 93 (7). COLLEGE PK: AMER PHYSICAL SOC. ISSN 2469-9969

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Abstract

In disordered Weyl semimetals, mechanisms of topological origin lead to novel mechanisms of transport, whichmanifest themselves in unconventional types of electromagnetic response. Prominent examples of transport phenomena particular to the Weyl context include the anomalous Hall effect, the chiral magnetic effect, and the formation of totally field-dominated regimes of transport in which the longitudinal conductance is proportional to an external magnetic field. In this paper, we discuss the manifestations of these phenomena at large length scales including the cases of strong disorder and/or magnetic field which are beyond the scope of diagrammatic perturbation theory. Our perhaps most striking finding is the identification of a regime of drift-diffusion transport where diffusion at short scales gives way to effectively ballistic dynamics at large scales before a reentrance to diffusion takes place at yet larger scales. We show that this regime plays a key role in understanding the interplay of the various types of magnetoresponse of the system. Our results are obtained by describing the strongly disordered system in terms of an effective field theory of Chern-Simons type. The paper contains a self-contained derivation of this theory and a discussion of both equilibrium and nonequilibrium (noise) transport phenomena following from it.

Item Type:	Journal Article
Creators:	Creators Email ORCID ORCID Put Code Altland, Alexander UNSPECIFIED orcid.org/0000-0002-2991-4805 UNSPECIFIED Bagrets, Dmitry UNSPECIFIED orcid.org/0000-0002-3985-4834 UNSPECIFIED
URN:	urn:nbn:de:hbz:38-284744
DOI:	10.1103/PhysRevB.93.075113
Journal or Publication Title:	Phys. Rev. B
Volume:	93
Number:	7
Date:	2016
Publisher:	AMER PHYSICAL SOC
Place of Publication:	COLLEGE PK
ISSN:	2469-9969
Language:	English
Faculty:	Faculty of Mathematics and Natural Sciences
Divisions:	Faculty of Mathematics and Natural Sciences > Department of Physics > Institute for Theoretical Physics
Subjects:	no entry
Uncontrolled Keywords:	Keywords Language FERMI ARCS; TRANSPORT-PROPERTIES; MAGNETIC-FIELD; HALL; SUPERCONDUCTORS; TRANSITION; TAAS; LOCALIZATION; EQUILIBRIUM; DISCOVERY Multiple languages Materials Science, Multidisciplinary; Physics, Applied; Physics, Condensed Matter Multiple languages
Refereed:	Yes
URI:	http://kups.ub.uni-koeln.de/id/eprint/28474