Universität zu Köln

Buchhold, Michael ORCID: 0000-0001-5194-9388, Diehl, Sebastian and Altland, Alexander ORCID: 0000-0002-2991-4805 (2018). Nodal points of Weyl semimetals survive the presence of moderate disorder. Phys. Rev. B, 98 (20). COLLEGE PK: AMER PHYSICAL SOC. ISSN 2469-9969

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Abstract

In this work we address the physics of individual three-dimensional Weyl nodes subject to a moderate concentration of disorder. Previous analysis indicates the presence of a quantum phase transition below which disorder becomes irrelevant and the integrity of sharp nodal points of vanishing spectral density is preserved in this system. This statement appears to be at variance with the inevitable presence of statistically rare fluctuations which cannot be considered as weak and must have strong influence on the system's spectrum, no matter how small the average concentration. We here reconcile the two pictures by demonstrating that rare fluctuation potentials in the Weyl system generate a peculiar type of resonances which carry spectral density in any neighborhood of zero energy, but never at zero. In this way, the vanishing of the DoS for weak disorder survives the inclusion of rare events. We demonstrate this feature by considering three different models of disorder, each emphasizing specific aspects of the problem: a simplistic box potential model, a model with Gaussian distributed disorder, and one with a finite number of s-wave scatterers. Our analysis also explains why the protection of the nodal DoS may be difficult to see in simulations of finite size lattices.

Item Type:	Journal Article
Creators:	Creators Email ORCID ORCID Put Code Buchhold, Michael UNSPECIFIED orcid.org/0000-0001-5194-9388 UNSPECIFIED Diehl, Sebastian UNSPECIFIED UNSPECIFIED UNSPECIFIED Altland, Alexander UNSPECIFIED orcid.org/0000-0002-2991-4805 UNSPECIFIED
URN:	urn:nbn:de:hbz:38-165559
DOI:	10.1103/PhysRevB.98.205134
Journal or Publication Title:	Phys. Rev. B
Volume:	98
Number:	20
Date:	2018
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 DENSITY-OF-STATES; FERMI ARCS; DEGENERATE SEMICONDUCTORS; CRITICAL-BEHAVIOR; DISCOVERY Multiple languages Materials Science, Multidisciplinary; Physics, Applied; Physics, Condensed Matter Multiple languages
Refereed:	Yes
URI:	http://kups.ub.uni-koeln.de/id/eprint/16555