Parallel Transport and Band Theory in Crystals

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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Submitted on : Tuesday, March 11, 2014 - 11:55:05 PM
Last modification on : Thursday, April 19, 2018 - 2:54:03 PM
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  • HAL Id : ensl-00958214, version 1
  • ARXIV : 1403.2836

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Michel Fruchart, David Carpentier, Krzysztof Gawedzki. Parallel Transport and Band Theory in Crystals. 2014. ⟨ensl-00958214⟩

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