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

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### abstract

• The amount of charge that is pushed by a moving scatterer is \$dQ=\ensuremath{-}GdX\$, 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 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.

### publication date

• January 1, 2005