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


  • 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