Chapter

Carbon nanotubes: nonlinear high‐Q resonators with strong coupling to single‐electron tunneling

H. B. Meerwaldt, G. A. Steele and H. S. J. van der Zant

in Fluctuating Nonlinear Oscillators

Published in print July 2012 | ISBN: 9780199691388
Published online September 2012 | e-ISBN: 9780191742255 | DOI: http://dx.doi.org/10.1093/acprof:oso/9780199691388.003.0012
Carbon nanotubes: nonlinear high‐Q resonators with strong coupling to single‐electron tunneling

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Carbon nanotubes (CNTs) are nonlinear high-Q resonators with strong coupling to single-electron tunneling. This chapter begins by describing several methods to detect the flexural motion of a CNT resonator. Next, it illustrates how single-electron tunneling in quantum dot CNT resonators leads to sharp dips in the mechanical resonance frequency and significant damping. It discusses four different contributions to the nonlinear oscillation of a CNT resonator: beam-like mechanical nonlinearity, nonlinearity due to gate-induced mechanical tension, electrostatic nonlinearity, and nonlinearity due to single-electron tunneling, and provide quantitative estimates of their strengths. Finally, it shows how the large response of the resonance frequency of a CNT resonator to a change in gate voltage or tension makes CNT resonators ideally suited for parametric excitation and for studying the coupling between different mechanical modes.

Keywords: carbon nanotube; nonlinearity; flexural motion; single-electron tunnelling; quantum dot; mode coupling; parametric excitation; tension; damping; frequency tuning

Chapter.  13580 words.  Illustrated.

Subjects: Mathematical and Statistical Physics

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