Nonharmonic oscillations of nanosized cantilevers due to quantum-size effects

Details Nonharmonic oscillations of nanosized cantilevers due to quantum-size effects Nonharmonic oscillations of nanosized cantilevers due to quantum-size effects

2010-08-10

arxiv.org/abs/1008.1697v1

Physical Review B, volume 81, issue 5, article number 054304, (2010)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

6 pages, 5 figures

Scientific paper

10.1103/PhysRevB.81.054304

Using a one-dimensional jellium model and standard beam theory we calculate the spring constant of a vibrating nanowire cantilever. By using the asymptotic energy eigenvalues of the standing electron waves over the nanometer-sized cross-section area, the change in the grand canonical potential is calculated and hence the force and the spring constant. As the wire is bent more electron states fits in its cross section. This has an impact on the spring"constant" which oscillates slightly with the bending of the wire. In this way we obtain an amplitude-dependent resonance frequency of the oscillations that should be detectable.

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