Non-linear dynamics of a driven nanomechanical single electron transistor

Abstract

We analyze the response of a nanomechanical resonator to an external drive when it is also coupled to a single-electron transistor (SET). The interaction between the SET electrons and the mechanical resonator depends on the amplitude of the mechanical motion leading to a strongly non-linear response to the drive which is similar to that of a Duffing oscillator. We show that the average dynamics of the resonator is well-described by a simple effective model which incorporates damping and frequency renormalization terms which are amplitude dependent. We also find that for a certain range of parameters the system displays interesting bistable dynamics in which noise arising from charge fluctuations causes the resonator to switch slowly between different dynamical states.

11 pages, 9 figures

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Cited by in corpus (6)

• Dynamical multistability in a quantum-dot laser
• Thermoelectric transport through a quantum nanoelectromechanical system and its backaction
• Noise-assisted Thouless pump in elastically deformable molecular junctions
• Single-parameter adiabatic charge pumping in carbon nanotube resonators
• Conductance of a SET with a retarded dielectric layer in the gate capacitor
• Quantitative analysis of the interaction between a dc SQUID and an integrated micromechanical doubly clamped cantilever