Self-Organization of Irregular Nanoelectromechanical Vibrations in Multimode Shuttle Structures

Jönsson, Lars; Santandrea, Fabio; Gorelik, Leonid Y.; Shekhter, R. I.; Jonson, M.

doi:10.1103/physrevlett.100.186802

Cited by 14 publications

(15 citation statements)

References 18 publications

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“…[8][9][10][11][12][13][14][15][16][17][18][19][20][21][22][23][24][25][26][28][29][30] For example, Novotný et al 29,30 present a quantum theory of the shuttle instability in electronic transport through such a NEMS with a horizontal oscillation degree of freedom and observe a clear crossover from the tunneling to the shuttling regime of the transport as a function of the mechanical damping parameter. As a counterpart where the horizonal oscillation is completely frozen and only the transverse oscillation is taken into account, what will happen in this regime is still an open question.…”

Section: Introductionmentioning

confidence: 95%

Quantum transport through a transverse quantum-dot shuttle

Jiang

Zhao

et al. 2011

Phys. Rev. B

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A transverse quantum-dot (QD) shuttle (T-QDS) is proposed where the QD oscillating direction is perpendicular to the electron transmission direction, different from the usual QD shuttle where the oscillating direction is parallel to the electron transmission direction. Both the electrical and mechanical degrees of freedom are dealt with by using the full quantum mechanical approaches. We derive the modified rate equations and numerically investigate the quantum properties of the T-QDS. First, as a comparison, we study the time-dependent evolutions of the electron-occupation probabilities and the currents flowing through the classical T-QDS. It is shown that the current shows the time-dependent oscillation in phase with the oscillation of the T-QDS. Then, we turn to study the quantum properties of the quantum T-QDS. Sharply different from the classical T-QDS, no oscillations of the probabilities and the current are observed due to the quantum uncertainty of the space position of the quantum T-QDS. It is demonstrated that the effects induced by the quantized oscillation of the quantum T-QDS are reflected as the renormalization of the tunneling rates between the QD and the leads. Notably, the two tunneling rates of the QD with the left and right leads depend on the relative space positions of the leads and the QD in different ways. It is the interplay of the two tunneling rates that eventually determines the stationary current of the T-QDS. Moreover, we study the influences induced by the temperature, which can also be considered via the renormalized tunneling rates.

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Section: Introductionmentioning

confidence: 95%

Quantum transport through a transverse quantum-dot shuttle

Jiang

Zhao

et al. 2011

Phys. Rev. B

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“…In the following, we develop a linear master equation describing the probability distribution of the electron numbers in the shuttles. Although the probability distribution was widely discussed in previous studies on the single shuttle [2,3,[8][9][10][11][12][13][14], most approaches describe the mechanical oscillation by deterministic variables and their master equation is nonlinear.…”

Section: Introductionmentioning

confidence: 99%

Stochastic model of nanomechanical electron shuttles and symmetry breaking

Zhao

Blick

2016

Phys. Rev. E

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Nanomechanical electron shuttles can work as ratchets for radio-frequency rectification. We develop a full stochastic model of coupled shuttles, where the mechanical motion of nanopillars and the incoherent electronic tunneling are modeled by a Markov chain. In particular, the interaction of their randomness is taken into account, so that a linear master equation is constructed. Numerical solutions from our fast approximate method and analytical derivation reveal the symmetry breaking, which results in the direct current observed in earlier measurements [Phys. Rev. Lett. 105, 067204 (2010)PRLTAO0031-900710.1103/PhysRevLett.105.067204]. Additionally, the method can facilitate device simulation of more complex designs such as shuttle arrays.

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“…N/m, Q ≈ 10 4 − 10 5 and I 0 ≈ 0 1 µA for which we obtain (assuming maximum succeptibility) a theoretical cooling coefficient of the order…”

Section: Coolingmentioning

confidence: 99%

“…Secondly, there must also be some mechanism by which the electronic subsystem senses the motion of the nanotube. To date, most selfoscillation schemes rely on an electrostatic attraction between the nanotube and a counter-electrode in combination with a distance-dependent field emission of electrons [1][2][3][4][5]. On the other hand, today there are numerous different schemes for cooling of nanotubes, many of which utilize a magnetic field [6][7][8][9].…”

Section: Introductionmentioning

confidence: 99%

Magnetomotive cooling and excitation of carbon nanotube oscillations under voltage bias

Nordenfelt

2011

Open Physics

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Abstract:We explore a semi-classical scheme for cooling and excitation of mechanical oscillations of a suspended carbon nanotube which is incorporated as a deflection-sensitive resistor in an LRC-circuit. The active feedback consists of a magnetically induced Lorentz force. We show that, for feasible experimental parameters, we can obtain self-sustained oscillations or cooling by several orders of magnitude. 85.35.Kt, 85.85.+j PACS (2008):

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Self-Organization of Irregular Nanoelectromechanical Vibrations in Multimode Shuttle Structures

Cited by 14 publications

References 18 publications

Quantum transport through a transverse quantum-dot shuttle

Quantum transport through a transverse quantum-dot shuttle

Stochastic model of nanomechanical electron shuttles and symmetry breaking

Magnetomotive cooling and excitation of carbon nanotube oscillations under voltage bias

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