Operating a quantum pump in a closed circuit

Details Operating a quantum pump in a closed circuit Operating a quantum pump in a closed circuit

2005-12-20

arxiv.org/abs/cond-mat/0512500v3

J. Phys. A 39, 3575 (2006)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

19 pages, 8 figs, minor textual corretions, to be published in JPA

Scientific paper

10.1088/0305-4470/39/14/006

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 $Q \le e$. This zero order adiabatic point of view is in fact misleading. For a closed device we can get ${Q > e}$ and even ${Q \gg e}$. 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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