Weyl discs: theoretical prediction

Abstract

A variety of quantum systems exhibits Weyl points in their spectra where two bands cross in a point of three-dimensional parameters space with conical dispersion in the vicinity of the point. We consider theoretically the soft constraint regime where the parameters are dynamical quantum variables. We have shown that in general the soft constraints, in quasi-classical limit, result in Weyl discs where two states are (almost) degenerate in a finite 2d region of the 3d parameter space. We provide concrete calculations for two setups: Weyl point in a four-terminal superconducting structure and a Weyl exciton, i.e., a bound state of Weyl electron and a massive hole.

arXiv comment7 pages (including supplementary material), 4 figures

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Cited by in corpus (10)

• The multi-terminal Josephson effect
• Topological supercurrents interaction and fluctuations in the multiterminal Josephson effect
• Andreev processes in mesoscopic multi-terminal graphene Josephson junctions
• Non-Abelian monopoles in the multiterminal Josephson effect
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• Holonomic quantum manipulation in the Weyl Disk
• Drastic effect of weak interaction near special points in semiclassical multiterminal superconducting nanostructures