Adiabatic Process and Chern Numbers
Mesoscale and Nanoscale Physics
2009-11-11 v2 Statistical Mechanics
Abstract
We study quantum processes with two or more adiabatic parameters. When the parameters are compactified, a derivative of the Hamiltonian gives a first Chern number, hence an integer. This topological formulation is applied to the AC Josephson effect and the spin Hall effect in semiconductors.
Keywords
Cite
@article{arxiv.cond-mat/0606758,
title = {Adiabatic Process and Chern Numbers},
author = {Jun Goryo and Mahito Kohmoto},
journal= {arXiv preprint arXiv:cond-mat/0606758},
year = {2009}
}
Comments
9 pages, to be published in Mod. Phys. Lett. B