Geometry, Statistics and Asymptotics of Quantum Pumps

Details Geometry, Statistics and Asymptotics of Quantum Pumps Geometry, Statistics and Asymptotics of Quantum Pumps

2000-02-14

arxiv.org/abs/cond-mat/0002194v2

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

RevTex, 4 pages, 2 figures

Scientific paper

10.1103/PhysRevB.62.R10618

We give a pedestrian interpretation of a formula of Buttiker et. al. (BPT) relating the adiabatically pumped current to the S matrix and its (time) derivatives. We relate the charge in BPT to Berry's phase and the corresponding Brouwer pumping formula to curvature. As applications we derive explicit formulas for the joint probability density of pumping and conductance when the S matrix is uniformly distributed; and derive a new formula that describes hard pumping when the S matrix is periodic in the driving parameters.

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