Abstract
The problem of quantized adiabatic particle transport is studied for three classes of one-dimensional periodic potentials. In cases of periodically modulated potentials, the electron transport (in full bands) induced by the propagating modulation wave is shown to be given by a Diophantine equation. Some analytic results are also obtained for a potential consisting of a moving and a standing part. The results are mainly derived under various approximations, but they are expected to be valid in a wider range of situations due to the topological nature of the problem.
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