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Vanishing density of states in weakly disordered Weyl semimetals

Buchhold, Michael and Diehl, Sebastian and Altland, Alexander (2018) Vanishing density of states in weakly disordered Weyl semimetals. Physical Review Letters, 121 (21). Art. No. 215301. ISSN 0031-9007.

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The Brillouin zone of the clean Weyl semimetal contains points at which the density of states (DOS) vanishes. Previous work suggested that below a certain critical concentration of impurities this feature is preserved including in the presence of disorder. This result got criticized for its neglect of rare disorder fluctuations which might bind quantum states and hence generate a finite DOS. We here show that in spite of their existence these states are so fragile that their contribution effectively vanishes when averaged over continuous disorder distributions. This means that the integrity of the nodal points remains protected for weak disorder.

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Additional Information:© 2018 American Physical Society. Received 6 May 2018; published 19 November 2018. We thank P. W. Brouwer, V. Gurarie, R. Nandkishore, L. Radzihovsky, G. Refael, B. Sbierski, J. H. Wilson, K. Ziegler, and M. Zirnbauer for discussions. Work supported by the German Research Foundation (DFG) through the Institutional Strategy of the University of Cologne within the German Excellence Initiative (ZUK 81) and CRC/TR 183—Entangled states of matter (project A02). M. B. acknowledges support from the Alexander von Humboldt foundation.
Funding AgencyGrant Number
Deutsche Forschungsgemeinschaft (DFG)ZUK 81
Deutsche Forschungsgemeinschaft (DFG)CRC/TR 183
Alexander von Humboldt FoundationUNSPECIFIED
Record Number:CaltechAUTHORS:20181009-090700314
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:90180
Deposited By: Tony Diaz
Deposited On:09 Oct 2018 17:28
Last Modified:19 Nov 2018 23:03

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