2014
DOI: 10.1002/andp.201400140
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Transient dynamics of an adiabatic NEMS

Abstract: This paper is focused on the transient dynamics of an adiabatic nano-electromechanical system (NEMS), consisting of a nano-mechanical oscillator coupled to a quantum dot. By numerically solving the nonlinear stochastic differential equation governing the oscillator, the time evolution of the oscillator position, of the dot occupation number and of the current are studied. Different parameter settings are studied where the system exhibits bi-stable, tri-stable or mono-stable behavior on a finite-time horizon. I… Show more

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Cited by 9 publications
(10 citation statements)
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“…Our obtained experimental fit value = 0.11 on imaging DxO@mGO and MxD@mGO (Fig. 6a) matches well to a generalized theoretical estimate of damping coefficient of order 10 À1 that considers similar dynamics 53 ; attesting merit to our analysis.…”
Section: Resultssupporting
confidence: 83%
See 1 more Smart Citation
“…Our obtained experimental fit value = 0.11 on imaging DxO@mGO and MxD@mGO (Fig. 6a) matches well to a generalized theoretical estimate of damping coefficient of order 10 À1 that considers similar dynamics 53 ; attesting merit to our analysis.…”
Section: Resultssupporting
confidence: 83%
“…2). Basically, two markedly distinct regimes of energy interactions are possible (i) the anti-adiabatic case: when the cantilever dynamics does a fast transition between equilibrium states remaining oblivious to the intermediate metastable state 53 and (ii) the opposite adiabatic case: where the oscillator dynamics is very slow compared to the faster relaxation processes at the interface, thus susceptible to nonlinear damping effects 54 . A third crossover regime at a comparable timescale τ osc ffi τ sur has the fluctuational relevance as described above.…”
Section: Resultsmentioning
confidence: 99%
“…We emphasize that the focus of the paper has been on the steady-state dynamics of the system in the realistic regime of weak to intermediate electron-vibration coupling. The issue of the transient dynamics, which has recently attracted the interest of many researchers [71][72][73][74][75], has not been addressed. Some work on the transient regime in the presence of a temperature difference between the leads is in progress.…”
Section: Resultsmentioning
confidence: 99%
“…In general, the phonon-induced renormalization of the density of states on the quantum dot and the phonon-induced renormalization of the dot-lead coupling are important. Distinct time-dependent characteristics have been related to polaron effects [421,422], tunneling switch and nonadiabaticity [423,424], nanomechanical oscillations [425,426], optical excitations [427][428][429], Kondo resonance [394,430,431], image-charge effect [432] and also in higher-order cumulants, waiting-time distributions, FCS and noise [133,391,392,433] (Fig. 12(c)).…”
Section: Electronic Transportmentioning
confidence: 99%