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arXiv · 1211.4363

Tension-induced non-linearities of flexural modes in nanomechanical resonators

Raphaël Khan·F. Massel·T. T. Heikkilä
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Abstract

We consider the tension-induced non-linearities of mechanical resonators, and derive the Hamiltonian of the flexural modes up to the fourth order in the position operators. This tension can be controlled by a nearby gate voltage. We focus on systems which allow large deformations $u(x)\gg h$ compared to the thickness $h$ of the resonator and show that in this case the third-order coupling can become non-zero due to the induced dc deformation and offers the possibility to realize equations of motion encountered in optomechanics. The fourth-order coupling is relevant especially for relatively low voltages. It can be detected by accessing the Duffing regime, and by measuring frequency shifts due to mode-mode coupling.

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Raphaël Khan, F. Massel, T. T. Heikkilä. 2013-02-12. Tension-induced non-linearities of flexural modes in nanomechanical resonators. https://doi.org/10.1103/physrevb.87.235406

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