Scattering approach to parametric pumping
Abstract
A d.c. current can be pumped through a quantum dot by periodically varying two independent parameters X1 and X2, like a gate voltage or magnetic field. We present a formula that relates the pumped current to the parametric derivatives of the scattering matrix S(X1,X2) of the system. As an application we compute the statistical distribution of the pumped current in the case of a chaotic quantum dot.
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