Full Counting Statistics of a charge shuttle

Details Full Counting Statistics of a charge shuttle Full Counting Statistics of a charge shuttle

2004-01-20

arxiv.org/abs/cond-mat/0401361v2

Phys. Rev. B 69, 245409 (2004)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

8 pages, 6 figures. Minor revisions. Phys. Rev. B (in press)

Scientific paper

10.1103/PhysRevB.69.245409

We study the charge transfer in a small grain oscillating between two leads. Coulomb blockade restricts the charge fluctuations in such a way that only zero or one additional electrons can sit on the grain. The system thus acts as a charge shuttle. We obtain the full counting statistics of charge transfer and discuss its behavior. For large oscillation amplitude the probability of transferring $\tilde n$ electrons per cycle is strongly peaked around one. The peak is asymmetric since its form is controlled by different parameters for $\tilde n>1$ and $\tilde n < 1$. Under certain conditions the systems behaves as if the effective charge is 1/2 of the elementary one. Knowledge of the counting statistics gives a new insight on the mechanism of charge transfer.

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