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Exotic Lifshitz transitions in topological materials

 a, b, c
a Low Temperature Laboratory, Aalto University, PO Box 15100, Aalto, FI-00076, Finland
b Landau Institute for Theoretical Physics, Russian Academy of Sciences, ul. Kosygina 2, Moscow, 119334, Russian Federation
c Lebedev Physical Institute, Russian Academy of Sciences, Leninsky prosp. 53, Moscow, 119991, Russian Federation

Topological Lifshitz transitions involve many types of topological structures in momentum and frequency-momentum spaces, such as Fermi surfaces, Dirac lines, Dirac and Weyl points, etc., each of which has its own stability-supporting topological invariant (N1, N2, N3, Ñ3, etc.). The Fermi surface and Dirac line topologies and the interconnection of objects of different dimensionality produce a variety of Lifshitz transition classes. Lifshitz transitions have important implications for many areas of physics. To give examples, transition-related singularities can increase the superconducting transition temperature; Lifshitz transitions are the possible origin of the small masses of elementary particles in our Universe; a black hole horizon serves as the surface of Lifshitz transition between the vacua with type-I and type-II Weyl points, etc.

Text can be downloaded in Russian. English translation is available here.
Keywords: topological Lifshitz transitions, Fermi surface, Dirac point, Weyl point, black hole event horizon
PACS: 04.70.−s, 71.30.+h, 73.22.−f (all)
DOI: 10.3367/UFNe.2017.01.038218
URL: https://ufn.ru/en/articles/2018/1/g/
Citation: Volovik G E "Exotic Lifshitz transitions in topological materials" Phys. Usp. 61 89–98 (2018)
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Received: 23rd, January 2017, 18th, January 2017

Оригинал: Воловик Г Е «Экзотические переходы Лифшица в топологической материи» УФН 188 95–105 (2018); DOI: 10.3367/UFNr.2017.01.038218

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