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

Abstract

A general master 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 allows one to study the system as a function of bias voltage and temperature of the leads. Furthermore, we treat the coherent interaction mechanism between electron tunneling events and the dynamics of excited vibrational modes. Stationary solutions of the equation are numerically calculated. We show current through the oscillating island at low temperature appears step like characteristics as a function of the bias voltage and the steps depend on mean phonon number of the oscillator. At higher temperatures the current steps would disappear and this event is accompanied by the emergence of thermal noise of the charge transfer. When the system is mainly in the ground state, zero frequency Fano factor of current manifests sub-Poissonian noise and when the system is partially driven into its excited states it exhibits super-Poissonian noise. The difference in the current noise would almost be removed for the situation in which the dissipation rate of the oscillator is much larger than the bare tunneling rates of electrons.

arXiv comment14 pages, 8 figures

References in corpus (24)

• An Atomic-resolution nanomechanical mass sensor
• Franck-Condon blockade and giant Fano factors in transport through single molecules
• Opto-mechanical transducers for long-distance quantum communication
• Shuttle Mechanism for Charge Transfer in Coulomb Blockade Nanostructures
• Vibrational sidebands and dissipative tunneling in molecular transistors
• Influence of nano-mechanical properties on single electron tunneling: A vibrating Single-Electron Transistor
• Resonant Electron Transport in Single-Molecule Junctions: Vibrational Excitation, Rectification, Negative Differential Resistance and Local Cooling
• Full counting statistics of nano-electromechanical systems
• Quantum Shuttle in Phase Space
• Incoherent dynamics of vibrating single-molecule transistors
• Shot Noise of a Quantum Shuttle
• Current noise in a vibrating quantum dot array
• Quantum dynamics of a resonator driven by a superconducting single-electron transistor: a solid-state analogue of the micromaser
• Back-action amplification and quantum limits in optomechanical measurements
• Transport via a quantum shuttle
• Coherent effects in magneto-transport through Zeeman split levels
• Giving electrons a ride: nanomechanical electron shuttles
• Current noise spectrum of a quantum shuttle
• Anomalous suppression of the shot noise in a nanoelectromechanical system
• Spintronics of a Nanoelectromechanical Shuttle
• Sub-Poissonian phononic population in a nanoelectromechanical system
• Quantum Noise in the Electromechanical Shuttle
• Spin-detection in a quantum electromechanical shuttle system
• Temperature dependence of electron transport through a quantum shuttle

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