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.
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.
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
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Yuriy Yerin, Caterina Petrillo, A. A. Varlamov, SciPost Phys. Core, 5:1 (2022)
B.Ya. Shapiro, Physica C: Superconductivity and its Applications, 602 (2022), 1354123
E. Cheng, W. Xia, X. Shi, H. Fang, Ch. Wang, Ch. Xi, Sh. Xu, D. C. Peets, L. Wang, H. Su, L. Pi, W. Ren, X. Wang, N. Yu, Yu. Chen, W. Zhao, Zh. Liu, Ya. Guo, Sh. Li, Nat. Commun., 12:1 (2021), 6970
A. A. Varlamov, Y. M. Galperin, S. G. Sharapov, Yu. Yerin, Low Temp. Phys., 47:8 (2021), 672–683
V. Yu. Irkhin, Yu. N. Skryabin, JETP Letters, 114:9 (2021), 551–555
Z. Jalali-Mola, S. A. Jafari, Phys. Rev. B, 102:24 (2020), 245148
Ya. Ferreiros, Ya. Kedem, E. J. Bergholtz, J. H. Bardarson, Phys. Rev. Lett., 122:5 (2019), 056601
G. E. Volovik, Phys. Usp., 61:1 (2018), 89–98
B. Rosenstein, B. Ya. Shapiro, D. Li, I. Shapiro, Phys. Rev. B, 97:14 (2018), 144510
K. Zhang, G. E. Volovik, JETP Letters, 105:8 (2017), 519–525