Strong and tunable mode coupling in carbon nanotube resonators

Abstract

The non-linear interaction between two mechanical resonances of the same freely suspended carbon nanotube resonator is studied. We find that in the Coulomb blockade regime, the non-linear modal interaction is dominated by single-electron-tunneling processes, and that the mode-coupling parameter can be tuned with the gate voltage, allowing both mode softening and mode stiffening behavior. This is in striking contrast to tension-induced mode coupling in strings, where the coupling parameter is positive and gives rise to a stiffening of the mode. The strength of the mode coupling in carbon nanotubes in the Coulomb blockade regime is observed to be six orders of magnitude larger than the mechanical mode coupling in micromechanical resonators.

8 pages, 4 figures

References in corpus (8)

• A tunable carbon nanotube electromechanical oscillator
• A Mechanical Mass Sensor with Yoctogram Resolution
• Cooling a nanomechanical resonator with quantum back-action
• Strong coupling between single-electron tunneling and nano-mechanical motion
• Carbon nanotubes as ultra-high quality factor mechanical resonators
• Nonlinear modal interactions in clamped-clamped mechanical resonators
• High-frequency nanotube mechanical resonators
• Nonlinear modal coupling in a high-stress doubly-clamped nanomechanical resonator

Cited by in corpus (8)

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• Nonlinear modal coupling in a high-stress doubly-clamped nanomechanical resonator
• Time-domain response of atomically thin $\mathrm{Mo}{\mathrm{S}}_2$ nanomechanical resonators
• Observation of decoherence in a carbon nanotube mechanical resonator
• Strongly coupled modes in a weakly driven micromechanical resonator
• Weak force sensing based on optical parametric amplification in a cavity optomechanical system coupled in series with two oscillators