Fluctuation broadening in carbon nanotube resonators

Arthur W. Barnard; Vera Sazonova; Arend M. Van Der Zande; Paul L. McEuen

doi:10.1073/pnas.1216407109

Fluctuation broadening in carbon nanotube resonators

Arthur W. Barnard, Vera Sazonova, Arend M. Van Der Zande, Paul L. McEuen

Research output: Contribution to journal › Article › peer-review

Abstract

We simulated the behavior of suspended carbon nanotube resonators over a broad range of temperatures to explore the physics of semiflexible polymers in underdamped environments. We find that thermal fluctuations induce strong coupling between resonance modes. This effect leads to spectral fluctuations that readily account for the experimentally observed quality factors Q ∼ 100 at 300 K. Using a mean-field approach to describe fluctuations, we analytically calculate Q and frequency shifts in tensioned and buckled carbon nanotubes and find excellent agreement with simulations.

Original language	English (US)
Pages (from-to)	19093-19096
Number of pages	4
Journal	Proceedings of the National Academy of Sciences of the United States of America
Volume	109
Issue number	47
DOIs	https://doi.org/10.1073/pnas.1216407109
State	Published - Nov 20 2012
Externally published	Yes

Keywords

Mesoscopic physics
Nanomechanics
Nonlinear vibrations
Stochastic dynamics

ASJC Scopus subject areas

General

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10.1073/pnas.1216407109

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AU - Sazonova, Vera

AU - Van Der Zande, Arend M.

AU - McEuen, Paul L.

PY - 2012/11/20

Y1 - 2012/11/20

N2 - We simulated the behavior of suspended carbon nanotube resonators over a broad range of temperatures to explore the physics of semiflexible polymers in underdamped environments. We find that thermal fluctuations induce strong coupling between resonance modes. This effect leads to spectral fluctuations that readily account for the experimentally observed quality factors Q ∼ 100 at 300 K. Using a mean-field approach to describe fluctuations, we analytically calculate Q and frequency shifts in tensioned and buckled carbon nanotubes and find excellent agreement with simulations.

AB - We simulated the behavior of suspended carbon nanotube resonators over a broad range of temperatures to explore the physics of semiflexible polymers in underdamped environments. We find that thermal fluctuations induce strong coupling between resonance modes. This effect leads to spectral fluctuations that readily account for the experimentally observed quality factors Q ∼ 100 at 300 K. Using a mean-field approach to describe fluctuations, we analytically calculate Q and frequency shifts in tensioned and buckled carbon nanotubes and find excellent agreement with simulations.

KW - Mesoscopic physics

KW - Nanomechanics

KW - Nonlinear vibrations

KW - Stochastic dynamics

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Fluctuation broadening in carbon nanotube resonators

Abstract

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