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arXiv · 1403.2836

Parallel Transport and Band Theory in Crystals

Michel Fruchart·David Carpentier·Krzysztof Gawędzki
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Abstract

We show that different conventions for Bloch Hamiltonians on non-Bravais lattices correspond to different natural definitions of parallel transport of Bloch eigenstates. Generically the Berry curvatures associated with these parallel transports differ, while physical quantities are naturally related to a canonical choice of the parallel transport.

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Michel Fruchart, David Carpentier, Krzysztof Gawędzki. 2014-06-19. Parallel Transport and Band Theory in Crystals. https://doi.org/10.1209/0295-5075%2F106%2F60002

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