Parallel Transport and Band Theory in Crystals
classification
❄️ cond-mat.quant-gas
cond-mat.mes-hallmath-phmath.MP
keywords
paralleltransportblochdifferentassociatedbandberrycanonical
read the original 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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