Quantum adiabatic particle transport
- 15 October 1986
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review B
- Vol. 34 (8) , 5093-5100
- https://doi.org/10.1103/physrevb.34.5093
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.Keywords
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