Journal
JETP LETTERS
Volume 105, Issue 8, Pages 519-525Publisher
MAIK NAUKA/INTERPERIODICA/SPRINGER
DOI: 10.1134/S0021364017080094
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Funding
- European Research Council [694248]
- National Natural Science Foundation of China [11674200, 11422433, 11604392]
- European Research Council (ERC) [694248] Funding Source: European Research Council (ERC)
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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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