Adiabatic Process and Chern Numbers
arXiv:cond-mat/0606758 · doi:10.1142/S021798490801481X
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.
9 pages, to be published in Mod. Phys. Lett. B