Out-of-plane resonance of fixed boundary graphene driven by an electric field
Graphene is important in low-dimensional condensed matter physics.Due to its two-dimensional structure with only a single atomic layer,graphene exhibits excellent structural flexibility and can sustain diverse structural deformations.This mechanical property makes strain control of graphene properties extremely convenient.Starting from a continuum model,this article explores the out-of-plane resonance with different modes of fixed boundary graphene sheets driven by a vertical external electric field.These resonance modes are closely related to the phonon properties of graphene.Atomic level phonon calculations reveal that out-of-plane polarized phonon modes capture such modes,frequencies of these phonon are consistent with prediction of the continuous model.The non-uniform deformation of graphene structure induced by external fields provides a new approach for strain engineering of graphene.