Non-linear dynamics of a driven nanomechanical single electron transistor
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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.
Kirton , P G & Armour , A D 2013 , ' Non-linear dynamics of a driven nanomechanical single electron transistor ' , Physical Review. B, Condensed matter and materials physics , vol. 87 , no. 15 , 155407 . https://doi.org/10.1103/PhysRevB.87.155407
Physical Review. B, Condensed matter and materials physics
©2013 American Physical Society. Article deposited by permission of the publisher.
DescriptionThis work was supported by EPSRC [Grant number EP/I017818/1]
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