Classical and quantum pumping in closed systems

Details Classical and quantum pumping in closed systems Classical and quantum pumping in closed systems

2002-08-12

arxiv.org/abs/cond-mat/0208233v4

Solid State Communications 133, 583-588 (2005)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

5 pages, 3 figures. The long published version is cond-mat/0307619. This is the short unpublished version

Scientific paper

Pumping of charge (Q) in a closed ring geometry is not quantized even in the strict adiabatic limit. The deviation form exact quantization can be related to the Thouless conductance. We use Kubo formalism as a starting point for the calculation of both the dissipative and the adiabatic contributions to Q. As an application we bring examples for classical dissipative pumping, classical adiabatic pumping, and in particular we make an explicit calculation for quantum pumping in case of the simplest pumping device, which is a 3 site lattice model.

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