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Adiabatic Process and Chern Numbers

Jun Goryo·Mahito Kohmoto
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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.

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Jun Goryo, Mahito Kohmoto. 2007-11-09. Adiabatic Process and Chern Numbers. https://doi.org/10.1142/s021798490801481x

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