Dynamics and Current Fluctuations in AC driven Charge Shuttle

Abstract

The behavior of a charge shuttle under a pure AC field has been recently considered theoretically and experimentally. If the system presents an asymmetry in the tunneling amplitudes the device acts as a nano-electromechanical rectifier, transforming a pure AC voltage field into a direct curren. In this paper we first review the model and the appearance of the rectifying effect for bias voltages below the threshold of self-oscillation. We discuss in some details the dynamics of the central island that, like the current, presents strong dependence on the forcing AC field frequency. In presence of both a constant and a small oscillating bias voltage we analyze the transition from the static to self-oscillating solution. We then consider current fluctuations (full counting statistics) for periodic motion of the grain. We explicitly evaluate the current noise numerically and we find that it shows clear signatures of correlated transport at certain locking frequencies. In the adiabatic limit we obtain a simple expression for the full-counting statistics and calculate explicitly the first four moments.

16 pages, 7 Figures. Invited paper for the special issue on NEMS on New Journal of Physics

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• A tunable carbon nanotube electromechanical oscillator
• Vibrational sidebands and dissipative tunneling in molecular transistors
• Tunneling in suspended carbon nanotubes assisted by longitudinal phonons
• Full counting statistics of nano-electromechanical systems
• Shot Noise of a Quantum Shuttle
• Single-electron Tunneling with Strong Mechanical Feedback
• The charge shuttle as a nanomechanical ratchet
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Cited by in corpus (5)

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• Sub-Poissonian phononic population in a nanoelectromechanical system
• Time-dependent magnetotransport of a wave packet in a quantum wire with embedded quantum dots
• Coulomb blockade for an oscillating tunnel junction