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

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

2004-07-02

arxiv.org/abs/cond-mat/0407073v3

Phys. Rev. E 71, 035202(R) (2005)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

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

Scientific paper

10.1103/PhysRevE.71.035202

The amount of charge which is pushed by a moving scatterer is $dQ = -G dX$, where $dX$ is the displacement of the scatterer. The question is what is $G$. Does it depend on the transmission $g_0$ 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.

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