This investigation presents a good application of wave propagation approach in the arena of CNTs vibrations. Finally, it is concluded that the presented CSM method is an alternative best choice to examine the overall vibration behavior of SWCNTs. The present investigation may be helpful in study of MWCNTs vibrations like considering aspects of high frequency oscillators and mechanical sensors.

The low-dimensional electron systems made from semiconductor heterostructures are known mostly as a base for studying the mesoscopic electron-transport phenomena. However, they can also be used for creation of nanoelectromechanical systems combining non-trivial electron transport and mechanical degrees of freedom. In the present paper, we propose a quantitative physical model describing the piezoelectric electromechanical coupling in nanomechanical resonators with a two-dimensional electron gas.