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arXiv · 1702.05343

Global band topology of simple and double Dirac-point (semi-)metals

Adrien Bouhon·Annica Black-Schaffer
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Abstract

We combine space group representation theory together with scanning of closed subdomains of the Brillouin zone with Wilson loops to algebraically determine global band structure topology. Considering space group #19 as a case study, we show that the energy ordering of the irreducible representations at the high-symmetry points $\{\Gamma,S,T,U\}$ fully determines the global band topology, with all topological classes characterized through their simple and double Dirac-points.

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Adrien Bouhon, Annica Black-Schaffer. 2017-02-17. Global band topology of simple and double Dirac-point (semi-)metals. https://doi.org/10.1103/physrevb.95.241101

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