Nonlinear vibrational modes in graphene: group-theoretical results
Pattern Formation and Solitons
2016-01-21 v1 Mesoscale and Nanoscale Physics
Abstract
In-plane nonlinear delocalized vibrations in uniformly stretched single-layer graphene (space group P6mm) are considered with the aid of the group-theoretical methods. These methods were developed by authors earlier in the framework of the theory of the bushes of nonlinear normal modes (NNMs). We have found that only 4 symmetry-determined NNMs (one-dimensional bushes), as well as 14 two-dimensional, 1 three-dimensional and 6 four-dimensional vibrational bushes are possible in graphene. They are exact solutions to the dynamical equations of this two-dimensional crystal. Prospects of further research are discussed.
Cite
@article{arxiv.1601.05200,
title = {Nonlinear vibrational modes in graphene: group-theoretical results},
author = {G. Chechin and D. Ryabov and S. Shcherbinin},
journal= {arXiv preprint arXiv:1601.05200},
year = {2016}
}