Current-oscillator correlation and Fano factor spectrum of quantum shuttle with finite bias voltage and temperature

Physics – Condensed Matter – Mesoscale and Nanoscale Physics

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Scientific paper

A general maser equation is derived to describe an electromechanical single-dot transistor in the Coulomb blockade regime. In the equation, Fermi distribution functions in the two leads are taken into account, which are combined with energy levels of the mechanical oscillator. It allows one to study the system as a function of bias voltage and temperature. Furthermore, we consider the coupling between electron tunneling and vibrational modes including both coherent and incoherent terms. Numerical calculations show current steps is intensively correlated with mean phonon number of the oscillator at low temperature. Thermal noise of the system appears to have direct contribution to the smear of current steps at finite temperatures. When the system is in the ground state, zero frequency Fano factor of current manifests sub-Poissonian noise and when the system is in the excited states it exhibits super-Poissonian noise. The difference in noise would almost be removed for the situation where the dissipation rate of the oscillator is much larger than the bare tunneling rates of electrons.

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