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Pis'ma v Zhurnal Èksperimental'noi i Teoreticheskoi Fiziki, 2017, Volume 105, Issue 8, Pages 504–505
DOI: https://doi.org/10.7868/S0370274X17080094
(Mi jetpl5247)
 

This article is cited in 10 scientific papers (total in 10 papers)

METHODS OF THEORETICAL PHYSICS

Lifshitz transitions via the type-II Dirac and type-II Weyl points

K. Zhangab, G. E. Volovikcb

a State Key Laboratory of Quantum Optics and Quantum Optics Devices, Institute of Laser Spectroscopy, Shanxi University, 030006 Taiyuan, P. R. China
b Low Temperature Laboratory, Aalto University, P.O. Box 15100, FI-00076 Aalto, Finland
c Landau Institute for Theoretical Physics, Russian Academy of Sciences, 119334 Moscow, Russia
References:
Abstract: The type-II Weyl and type-II Dirac points emerge in semimetals and in relativistic systems. In particular, the type-II Weyl fermions may emerge behind the event horizon of black holes. The type-II Weyl and Dirac points also emerge as the intermediate states of the topological Lifshitz transitions. In one case, the type-II Weyl point connects the Fermi pockets, and the Lifshitz transition corresponds to the transfer of the Berry flux between the Fermi pockets. In the other case, the type-II Weyl point connects the outer and inner Fermi surfaces. At the Lifshitz transition, the Weyl point is released from both Fermi surfaces. They loose their Berry flux, which guarantees the global stability, and without the topological support, the inner surface disappears after shrinking to a point at the second Lifshitz transition. These examples reveal the complexity and universality of topological Lifshitz transitions, which originate from the ubiquitous interplay of a variety of topological characters of the momentum-space manifolds.
Funding agency Grant number
European Research Council 694248
National Natural Science Foundation of China 11674200
11422433
11604392
The work by GEV has been supported by the European Research Council (ERC) under the European Union’s Horizon 2020 research and innovation programme (Grant Agreement # 694248). The work by KZ has been supported in part by the National Natural Science Foundation of China (NSFC) under Grants # 11674200, # 11422433, # 11604392.
Received: 14.03.2017
English version:
Journal of Experimental and Theoretical Physics Letters, 2017, Volume 105, Issue 8, Pages 519–525
DOI: https://doi.org/10.1134/S0021364017080094
Bibliographic databases:
Document Type: Article
Language: English
Citation: K. Zhang, G. E. Volovik, “Lifshitz transitions via the type-II Dirac and type-II Weyl points”, Pis'ma v Zh. Èksper. Teoret. Fiz., 105:8 (2017), 504–505; JETP Letters, 105:8 (2017), 519–525
Citation in format AMSBIB
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  • This publication is cited in the following 10 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    Письма в Журнал экспериментальной и теоретической физики Pis'ma v Zhurnal Иksperimental'noi i Teoreticheskoi Fiziki
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