Peculiar Features of Vibrations Propagation and Localization in Graphene Nanostructures

The nature of flexural rigidity of graphene monolayers and a formation of the quasiflexural modes in a graphite and the graphene nanofilms is explained. It is shown, that in the major part of the band of quasicontinuous spectrum, quasiflexural modes do not practically couple with the modes polarized in the plane of the layer. The frequencies of propagone zone are determined for the phonons with various polarizations. The existence of high-frequency propagation zone is demonstrated for quasi-flexural phonons. The conditions for a formation of quasi-local vibrations and boson peaks are analyzed for modes with different polarization. The conditions for the formation of quasi-local vibrations and boson peaks in modes of different polarization are analyzed.