Full Counting Statistics of a charge shuttle

Abstract

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.

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

References in corpus (4)

• Full Counting Statistics of Charge Transfer in Coulomb Blockade Systems
• Quantum Shuttle in Phase Space
• Quantum Shuttle Phenomena in a Nanoelectromechanical Single-Electron Transistor
• Decoherence in a Cooper pair shuttle

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