Nonlinear dynamics of a driven nanomechanical single-electron transistor

Kirton, P. G. and Armour, A. D. (2013) Nonlinear dynamics of a driven nanomechanical single-electron transistor. Physical Review B, 87 (15). 155407. ISSN 1098-0121 (https://doi.org/10.1103/PhysRevB.87.155407)

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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 nonlinear 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.

ORCID iDs

Kirton, P. G. ORCID logoORCID: https://orcid.org/0000-0002-3915-1098 and Armour, A. D.;
CORE (COnnecting REpositories)