Parallel transport and band theory in crystals

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...

Full description

Saved in:
Bibliographic Details
Published in:Europhysics letters 2014-06, Vol.106 (6), p.60002
Main Authors: Fruchart, Michel, Carpentier, David, Gaw dzki, Krzysztof
Format: Article
Language:English
Subjects:
03.65.Vf
71.20.-b
73.43.Cd
Band theory
Crystal lattices
Eigenvectors
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary: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.
ISSN:0295-5075
1286-4854
DOI:10.1209/0295-5075/106/60002