Normal Modes in Graphene for Different Geometries

Abstract

Using classical molecular dynamics, we study the time evolution of out-of-plane standing waves on a square and circular single-layer graphene membrane. We explore the first six normal modes, obtaining the oscillation frequencies from the atomic motion. The modes show long-time stability in the harmonic regime, with no decoupling on multiple frequencies. Using the frequencies of oscillation, we calculated the transverse speed of sound in graphene and the tension on the membrane.