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

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Researchers

Research units

  • Shanxi University
  • Russian Academy of Sciences

Abstract

The type-II Weyl and type-II Dirac points emerge in semimetals and also 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.

Details

Original languageEnglish
Pages (from-to)519–525
Number of pages7
JournalJETP Letters
Volume105
Issue number8
Publication statusPublished - 2017
MoE publication typeA1 Journal article-refereed

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