arXiv · 1301.7239
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.
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P. G. Kirton, A. D. Armour. 2013-01-30. Non-linear dynamics of a driven nanomechanical single electron transistor. https://doi.org/10.1103/physrevb.87.155407
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