Abstract
Bloch theory describes the electronic states in crystals whose energies are distributed as bands over the Brillouin zone. The electronic states corresponding to a (few) isolated energy band(s) thus constitute a vector bundle. The topological properties of these vector bundles provide new characteristics of the corresponding electronic phases. We review some of these properties in the case of (topological) insulators and semi-metals.
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Carpentier, D. (2017). Topology of Bands in Solids: From Insulators to Dirac Matter. In: Duplantier, B., Rivasseau, V., Fuchs, JN. (eds) Dirac Matter . Progress in Mathematical Physics, vol 71. Birkhäuser, Cham. https://doi.org/10.1007/978-3-319-32536-1_5
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DOI: https://doi.org/10.1007/978-3-319-32536-1_5
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Publisher Name: Birkhäuser, Cham
Print ISBN: 978-3-319-32535-4
Online ISBN: 978-3-319-32536-1
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