Adiabatic Process and Chern Numbers

Details Adiabatic Process and Chern Numbers Adiabatic Process and Chern Numbers

2006-06-29

arxiv.org/abs/cond-mat/0606758v2

Modern Physics Letters B, 22, (2008) 303

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

9 pages, to be published in Mod. Phys. Lett. B

Scientific paper

10.1142/S021798490801481X

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.

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