Negative frequency tuning of a carbon nanotube nano-electromechanical resonator
P. L. Stiller, S. Kugler, D. R. Schmid, C. Strunk, A. K. Huettel

TL;DR
This study demonstrates negative frequency tuning in a suspended carbon nanotube nano-electromechanical resonator at cryogenic temperatures, achieved through electrostatic softening, with observable higher harmonic responses and Coulomb blockade effects.
Contribution
First observation of negative frequency tuning in a carbon nanotube NEMS resonator, showing electrostatic softening as the tuning mechanism at cryogenic temperatures.
Findings
Negative frequency tuning to 75% of maximum value
Observation of higher harmonic responses
Electrostatic softening explains frequency shift
Abstract
A suspended, doubly clamped single wall carbon nanotube is characterized as driven nano-electromechanical resonator at cryogenic temperatures. Electronically, the carbon nanotube displays small bandgap behaviour with Coulomb blockade oscillations in electron conduction and transparent contacts in hole conduction. We observe the driven mechanical resonance in dc-transport, including multiple higher harmonic responses. The data shows a distinct negative frequency tuning at finite applied gate voltage, enabling us to electrostatically decrease the resonance frequency to 75% of its maximum value. This is consistently explained via electrostatic softening of the mechanical mode.
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