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arXiv · 1601.05200

Nonlinear vibrational modes in graphene: group-theoretical results

G. Chechin·D. Ryabov·S. Shcherbinin
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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.

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G. Chechin, D. Ryabov, S. Shcherbinin. 2016-01-20. Nonlinear vibrational modes in graphene: group-theoretical results. https://arxiv.org/abs/1601.05200

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