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

  • Methods of Theoretical Physics
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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.

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Authors and Affiliations

  1. State Key Laboratory of Quantum Optics and Quantum Optics Devices, Institute of Laser Spectroscopy, Shanxi University, 030006, Taiyuan, People’s Republic of China

    K. Zhang

  2. Low Temperature Laboratory, Aalto University, P.O. Box 15100, FI-00076, Aalto, Finland

    K. Zhang & G. E. Volovik

  3. Landau Institute for Theoretical Physics, Russian Academy of Sciences, Moscow, 119334, Russia

    G. E. Volovik

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  1. K. Zhang
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  2. G. E. Volovik
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Correspondence to K. Zhang.

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Zhang, K., Volovik, G.E. Lifshitz transitions via the type-II dirac and type-II Weyl points. Jetp Lett. 105, 519–525 (2017). https://doi.org/10.1134/S0021364017080094

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  • DOI: https://doi.org/10.1134/S0021364017080094

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