Berry phase and quantized Hall effect in three-dimension
Mesoscale and Nanoscale Physics
2009-11-07 v2
Abstract
We consider Bloch electrons in the electromagnetic field and argue the relation between the Berry phase and the quantized Hall conductivity in three-dimension. The Berry phase we consider here is induced by the adiabatic change of the time-dependent vector potential. The relation has been shown in two-dimensional systems, and we generalize the relation in three-dimensional systems.
Keywords
Cite
@article{arxiv.cond-mat/0201389,
title = {Berry phase and quantized Hall effect in three-dimension},
author = {J. Goryo and M. Kohmoto},
journal= {arXiv preprint arXiv:cond-mat/0201389},
year = {2009}
}
Comments
corrected some typos. Accepted for publication in J. Phys. Soc. Jpn