The self-retracting motion of a graphene flake on a stack of graphene flakes is studied using molecular dynamics simulations. It is shown that in the case when the extended flake is initially rotated to an incommensurate state, there is no barrier to the self-retracting motion of the flake and the flake retracts as fast as possible. If the extended flake is initially commensurate with the other flakes, the self-retracting motion is hindered by potential energy barriers. However, in this case, the rotation of the flake to incommensurate states is often observed. Such a rotation is found to be induced by the torque acting on the flake on hills of the potential relief of the interaction energy between the flakes. Contrary to carbon nanotubes, telescopic oscillations of the graphene flake are suppressed because of the high dynamic friction related to the excitation * am-popov@isan.troitsk.ru † lebedeva@kintechlab.com ‡ knizhnik@kintechlab.com § lozovik@isan.troitsk.ru 2 of flexural vibrations of the flake. This makes graphene promising for the use in fast-responding electromechanical memory cells. PACS: 85.85.+j
I. INTRODUCTIONDue to the extraordinary electrical and mechanical properties of graphene 1 , this novel twodimensional nanostructure is considered promising for the use in nanoelectromechanical systems (NEMS). For example, a nanoresonator based on flexural vibrations of suspended graphene was implemented 2 . The experimentally observed self-retracting motion of graphite, i.e. retraction of graphite flakes back into graphite stacks on their extension arising from the van der Waals interaction between graphene layers, led to the idea of an oscillator based on the telescopic oscillation of graphene layers 3 . Nanorelays based on the telescopic extension and self-retracting motion of carbon nanotube walls were realized experimentally 4,5 . By analogy with these nanotube-based devices, a nanorelay based on the telescopic motion of graphene layers was proposed 6,7 .The gigahertz oscillator based on the telescopic oscillation of carbon nanotubes walls 8,9 has been widely considered as a model system to study fundamental aspects of tribological properties and dynamic behavior of nanoscale systems (see, for example, Refs. 10 -26).However, there are significant differences in the potential reliefs of the interlayer interaction energy for graphene layers and carbon nanotube walls. The magnitude of corrugation of the potential energy relief is orders of magnitude higher for graphene layers 6,27-30 than for nanotube walls 27,31-33 . Moreover, graphene layers can rotate relative to each other to incommensurate states (see FIG. 1a and b) in which the potential relief of the interlayer interaction energy is smooth. At relative rotation angles 120 60 0 0 , , etc., graphene layers are commensurate (see FIG. 1a) and the potential energy relief has significant barriers to the relative motion of the layers. However, when the layers are rotated relative to each other by an angle 3 0 0 60 ( 0 a / L...