Operating a quantum pump in a closed circuit
Itamar Sela, Doron Cohen
Abstract
During an adiabatic pumping cycle a conventional two barrier quantum device takes an electron from the left lead and ejects it to the right lead. Hence the pumped charge per cycle is naively expected to be Q e. This zero order adiabatic point of view is in fact misleading. For a closed device we can get Q > e and even Q e. In this paper a detailed analysis of the quantum pump operation is presented. Using the Kubo formula for the geometric conductance, and applying the Dirac chains picture, we derive practical estimates for~Q.
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