Probing nonlinear mechanical effects through electronic currents: the case of a nanomechanical resonator acting as electronic transistor

Abstract

We study a general model describing a self-detecting single electron transistor realized by a suspended carbon nanotube actuated by a nearby antenna. The main features of the device, recently observed in a number of experiments, are accurately reproduced. When the device is in a low current-carrying state, a peak in the current signals a mechanical resonance. On the contrary, a dip in the current is found in high current-carrying states. In the nonlinear vibration regime of the resonator, we are able to reproduce quantitatively the characteristic asymmetric shape of the current-frequency curves. We show that the nonlinear effects coming out at high values of the antenna amplitude are related to the effective nonlinear force induced by the electronic flow. The interplay between electronic and mechanical degrees of freedom is understood in terms of an unifying model including in an intrinsic way the nonlinear effects driven by the external probe.

7 pages, 3 figures, submitted to Physical Review B

References in corpus (15)

• Strong coupling between single-electron tunneling and nano-mechanical motion
• Carbon nanotubes as ultra-high quality factor mechanical resonators
• Scattering theory of current-induced forces in mesoscopic systems
• Current-induced forces in mesoscopic systems: a scattering matrix approach
• Adiabatic pumping through interacting quantum dots
• Quantum nano-electromechanics with electrons, quasiparticles and Cooper pairs: effective bath descriptions and strong feedback effects
• Single-electron Tunneling with Strong Mechanical Feedback
• Self-consistent theory of molecular switching
• Semi-classical dynamics of nano-electromechanical systems
• Distortion blockade in classical nano-electromechanical resonator
• Stochastic dynamics for a single vibrational mode in molecular junctions
• Euler buckling instability and enhanced current blockade in suspended single-electron transistors
• An electrical probe for mechanical vibrations in suspended carbon nanotubes
• Adiabaticity in semiclassical nanoelectromechanical systems
• Cotunneling, current blockade, and backaction forces in nanobeams close to the Euler buckling instability

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• Charge-vibration interaction effects in normal-superconductor quantum dots
• Single-parameter adiabatic charge pumping in carbon nanotube resonators
• Noise-assisted Thouless pump in elastically deformable molecular junctions
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