paper

Quantum pumping: The charge transported due to a translation of a scatterer

arXiv:cond-mat/0407073 · doi:10.1103/PhysRevE.71.035202

Abstract

The amount of charge which is pushed by a moving scatterer is , where is the displacement of the scatterer. The question is what is . Does it depend on the transmission of the scatterer? Does the answer depend on whether the system is open (with leads attached to reservoirs) or closed? In the latter case: what are the implications of having ``quantum chaos" and/or coupling to to the environment? The answers to these questions illuminate some fundamental aspects of the theory of quantum pumping. For the analysis we take a network (graph) as a model system, and use the Kubo formula approach.

4 pages, 2 figures, minor changes, to be published in PRE (Rapid)

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