Adiabatic Process and Chern Numbers
classification
❄️ cond-mat.mes-hall
cond-mat.stat-mech
keywords
adiabaticcherneffectparametersappliedcompactifiedderivativefirst
read the original 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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