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Fizika Tverdogo Tela, 2019, Volume 61, Issue 11, Pages 2163–2168
DOI: https://doi.org/10.21883/FTT.2019.11.48423.444 (Mi ftt8631) 		 
This article is cited in 21 scientific papers (total in 21 papers)

Lattice dynamics

Dynamics of a three-component delocalized nonlinear vibrational mode in graphene

S. A. Shcherbinina, M. N. Semenovab, A. S. Semenovb, E. A. Korznikovac, G. M. Chechina, S. V. Dmitrievcd

a Research Institute of Physics, Southern Federal University, Rostov-on-Don
b Ammosov North-Eastern Federal University, Mirny, Sakha (Yakutia), Russia
c Institute for Metals Superplasticity Problems of RAS, Ufa
d Tomsk State University
Full-text PDF (421 kB) Citations (21)
DOI: https://doi.org/10.21883/FTT.2019.11.48423.444
Abstract: The dynamics of a three-component nonlinear delocalized vibrational mode in graphene is studied with molecular dynamics. This mode, being a superposition of a root and two one-component modes, is an exact and symmetrically determined solution of nonlinear equations of motion of carbon atoms. The dependences of a frequency, energy per atom, and average stresses over a period that appeared in graphene are calculated as a function of amplitude of a root mode. We showed that the vibrations become periodic with certain amplitudes of three component modes, and the vibrations of one-component modes are close to periodic one and have a frequency twice the frequency of a root mode, which is noticeably higher than the upper boundary of a spectrum of low-amplitude vibrations of a graphene lattice. The data obtained expand our understanding of nonlinear vibrations of graphene lattice.
Keywords: nonlinear dynamics, graphene, delocalized oscillations, second harmonic generation.
Funding agency Grant number
Russian Science Foundation 18-72-00006
Russian Foundation for Basic Research 18-32-20158 мол_а_вед
Ministry of Education and Science of the Russian Federation
A.S. Semenov (calculations together with discussion of results) is grateful to Russian Science Foundation (project no. 18-72-00006). E.A. Korznikova is grateful to Russian Foundation for Basic Research (grant no. 18-32-20158 mol_a_ved) for financial support (discussion of results and writing the article). This work was partially supported by the State Assignment of the Institute for Metals Superplasticity Problems (Russian Academy of Sciences).
Received: 02.04.2019
Revised: 06.06.2019
Accepted: 14.06.2019
English version:
Physics of the Solid State, 2019, Volume 61, Issue 11, Pages 2139–2144
DOI: https://doi.org/10.1134/S1063783419110313
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: S. A. Shcherbinin, M. N. Semenova, A. S. Semenov, E. A. Korznikova, G. M. Chechin, S. V. Dmitriev, “Dynamics of a three-component delocalized nonlinear vibrational mode in graphene”, Fizika Tverdogo Tela, 61:11 (2019), 2163–2168; Phys. Solid State, 61:11 (2019), 2139–2144
Citation in format AMSBIB
\Bibitem{ShcSemSem19}
\by S.~A.~Shcherbinin, M.~N.~Semenova, A.~S.~Semenov, E.~A.~Korznikova, G.~M.~Chechin, S.~V.~Dmitriev
\paper Dynamics of a three-component delocalized nonlinear vibrational mode in graphene
\jour Fizika Tverdogo Tela
\yr 2019
\vol 61
\issue 11
\pages 2163--2168
\mathnet{http://mi.mathnet.ru/ftt8631}
\crossref{https://doi.org/10.21883/FTT.2019.11.48423.444}
\elib{https://elibrary.ru/item.asp?id=41300788}
\transl
\jour Phys. Solid State
\yr 2019
\vol 61
\issue 11
\pages 2139--2144
\crossref{https://doi.org/10.1134/S1063783419110313}
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    • This publication is cited in the following 21 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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