Parallel Transport and Band Theory in Crystals
Quantum Gases
2014-06-23 v2 Mesoscale and Nanoscale Physics
Mathematical Physics
math.MP
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.
Keywords
Cite
@article{arxiv.1403.2836,
title = {Parallel Transport and Band Theory in Crystals},
author = {Michel Fruchart and David Carpentier and Krzysztof Gawędzki},
journal= {arXiv preprint arXiv:1403.2836},
year = {2014}
}
Comments
5 pages, 1 figure ; minor update