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Parallel Transport and Band Theory in Crystals

Michel Fruchart
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David Carpentier
Krzysztof Gawedzki
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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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ensl-00958214 , version 1 (11-03-2014)



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