Bushes of Nonlinear Normal Modes in Single-Layer Graphene

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dc.contributor.authorChechin, G. M.en
dc.contributor.authorRyabov, D. S.en
dc.contributor.authorShcherbinin, S. A.en
dc.date.accessioned2016-11-24T13:47:02Z
dc.date.available2016-11-24T13:47:02Z
dc.date.issued2016
dc.description.abstractIn-plane vibrations in uniformly stretched single-layer graphene (space group P6mm), which are described by the Rosenberg nonlinear normal modes (NNMs) and their bushes, are studied with the aid of group-theoretical methods developed by authors in some earlier papers. It was found that only 4 symmetry-determined NNMs (one-dimensional bushes), as well as 14 two-dimensional bushes are possible in graphene. They are exact solutions to the dynamical equations of this two-dimensional crystal. The verification of group-theoretical results with the aid of ab initio simulations based on density functional theory is discussed.en
dc.identifier.citationChechin G. M. Bushes of Nonlinear Normal Modes in Single-Layer Graphene / G. M. Chechin, D. S. Ryabov, S. A. Shcherbinin // Nonlinear Dynamics–2016 (ND-KhPI2016) : proceedings of 5th International Conference, dedicated to the 90th anniversary of Academician V. L. Rvachev, September 27-30, 2016 = Нелінійна динаміка–2016 : тези доп. 5-ї Міжнар. конф., 27-30 вересня 2016 р. – Kharkov : NTU "KhPI", 2016. – P. 65-70.en
dc.identifier.urihttps://repository.kpi.kharkov.ua/handle/KhPI-Press/24883en
dc.language.isoen
dc.publisherNTU "KhPI"en
dc.subjectlattice dynamicsen
dc.subjectnonlinear normal modesen
dc.subjectgrapheneen
dc.subjectgroup-theoretical methodsen
dc.subjectab initio simulationsen
dc.subjectdensity functional theoryen
dc.titleBushes of Nonlinear Normal Modes in Single-Layer Grapheneen
dc.typeArticleen

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Nonlinear Dynamics–2016