Non-linear dynamics of a driven nanomechanical single electron transistor
arXiv:1301.7239 · doi:10.1103/PhysRevB.87.155407
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
References in corpus (16)
- Cooling a nanomechanical resonator with quantum back-action
- Franck-Condon blockade and giant Fano factors in transport through single molecules
- Strong coupling between single-electron tunneling and nano-mechanical motion
- Full counting statistics of nano-electromechanical systems
- Quantum nano-electromechanics with electrons, quasiparticles and Cooper pairs: effective bath descriptions and strong feedback effects
- Cooling carbon nanotubes to the phononic ground state with constant electron current
- Intrinsic noise properties of atomic point contact displacement detectors
- Strong feedback and current noise in nanoelectromechanical systems
- Shot noise control in ac-driven nanoscale conductors
- Semi-classical dynamics of nano-electromechanical systems
- Distortion blockade in classical nano-electromechanical resonator
- Electrical transport through a single-electron transistor strongly coupled to an oscillator
- Coherent properties of nano-electromechanical systems
- Current noise of a superconducting single electron transistor coupled to a resonator
- Scattering approach to backaction in coherent nanoelectromechanical systems
- Dynamical instabilities of a resonator driven by a superconducting single-electron transistor