Selective self-excitation of higher vibrational modes of graphene nano-ribbons and carbon nanotubes through magnetomotive instability

TL;DR

This paper theoretically demonstrates the possibility of selectively exciting higher vibrational modes in graphene nano-ribbons and carbon nanotubes using magnetomotive instability, with potential applications in nanoscale resonators.

Contribution

It introduces a method for selective self-excitation of higher vibrational modes in nano-resonators via magnetomotive instability, including detailed numerical simulations for graphene and carbon nanotubes.

Findings

Numerical simulations show feasible selective excitation of higher modes.

Graphene and nanotubes exhibit similar behavior with material-specific differences.

The device requires only simple electrical components and a magnetic field.

Abstract

We demonstrate theoretically the feasibility of selective self-excitation of higher-mode flexural vibrations of graphene nano-ribbons and carbon nanotubes by the means of magnetomotive instability. Apart from the mechanical resonator, the device consists only of a constant voltage source, an inductor, a capacitor, a gate electrode and a constant magnetic field. Numerical simluations were performed on both graphene and carbon nanotubes displaying an overall similar behaviour, but with some differences arising mainly due to the non-linear mechanical bending forces. The advantages and disadvantages of both materials are discussed.