Selective Self-Excitation of Higher Vibrational Modes of Graphene Nano-Ribbons and Carbon Nanotubes Through Magnetomotive Instability

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 simulations were performed on both graphene and carbon nanotubes displaying an overall similar behavior, but with some differences arising mainly due to the nonlinear forces caused by the mechanical deformation. The advantages and disadvantages of both materials are discussed.