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Scattering approach to parametric pumping

P. W. Brouwer
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Abstract

A d.c. current can be pumped through a quantum dot by periodically varying two independent parameters $X_1$ and $X_2$, like a gate voltage or magnetic field. We present a formula that relates the pumped current to the parametric derivatives of the scattering matrix $S(X_1,X_2)$ 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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P. W. Brouwer. 1998-08-31. Scattering approach to parametric pumping. https://doi.org/10.1103/physrevb.58.r10135

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