Semiclassical theory of a quantum pump

Details Semiclassical theory of a quantum pump Semiclassical theory of a quantum pump

2006-07-17

arxiv.org/abs/cond-mat/0607425v2

Phys. Rev. B, v74, 205327 (2006)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

14 pages, 8 figures. Revised version, minor changes

Scientific paper

10.1103/PhysRevB.74.205327

In a quantum charge pump, the periodic variation of two parameters that affect the phase of the electronic wavefunction causes the flow of a direct current. The operating mechanism of a quantum pump is based on quantum interference, the phases of interfering amplitudes being modulated by the external parameters. In a ballistic quantum dot, there is a minimum time before which quantum interference can not occur: the Ehrenfest time. Here we calculate the current pumped through a ballistic quantum dot when the Ehrenfest time is comparable to the mean dwell time. Remarkably, we find that the pumped current has a component that is not suppressed if the Ehrenfest time is much larger than the mean dwell time.

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