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Pis'ma v Zhurnal Èksperimental'noi i Teoreticheskoi Fiziki, 2011, Volume 94, Issue 7, Pages 580–584 (Mi jetpl2343)  

This article is cited in 74 scientific papers (total in 74 papers)

CONDENSED MATTER

Discrete breathers in deformed graphene

L. Z. Khadeevaa, S. V. Dmitrieva, Yu. S. Kivshar'b

a Institute for Metals Superplasticity Problems of RAS, Ufa
b Australian National University
References:
Abstract: The linear and nonlinear dynamics of elastically deformed graphene have been studied. The region of the stability of a planar graphene sheet has been represented in the space of the two-dimensional strain $(\varepsilon_{xx},\varepsilon_{yy})$ with the $x$ and $y$ axes oriented in the zigzag and armchair directions, respectively. It has been shown that the gap in the phonon spectrum appears in graphene under uniaxial deformation in the zigzag or armchair direction, while the gap is not formed under a hydrostatic load. It has been found that graphene deformed uniaxially in the zigzag direction supports the existence of spatially localized nonlinear modes in the form of discrete breathers, the frequency of which decreases with an increase in the amplitude. This indicates soft nonlinearity in the system. It is unusual that discrete breather has frequency within the phonon spectrum of graphene. This is explained by the fact that the oscillation of the discrete breather is polarized in the plane of the graphene sheet, while the phonon spectral band where the discrete breather frequency is located contains phonons oscillating out of plane. The stability of the discrete breather with respect to the small out-of-plane perturbation of the graphene sheet has been demonstrated.
Received: 07.07.2011
English version:
Journal of Experimental and Theoretical Physics Letters, 2011, Volume 94, Issue 7, Pages 539–543
DOI: https://doi.org/10.1134/S0021364011190106
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: L. Z. Khadeeva, S. V. Dmitriev, Yu. S. Kivshar', “Discrete breathers in deformed graphene”, Pis'ma v Zh. Èksper. Teoret. Fiz., 94:7 (2011), 580–584; JETP Letters, 94:7 (2011), 539–543
Citation in format AMSBIB
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\by L.~Z.~Khadeeva, S.~V.~Dmitriev, Yu.~S.~Kivshar'
\paper Discrete breathers in deformed graphene
\jour Pis'ma v Zh. \`Eksper. Teoret. Fiz.
\yr 2011
\vol 94
\issue 7
\pages 580--584
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\transl
\jour JETP Letters
\yr 2011
\vol 94
\issue 7
\pages 539--543
\crossref{https://doi.org/10.1134/S0021364011190106}
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  • https://www.mathnet.ru/eng/jetpl/v94/i7/p580
  • This publication is cited in the following 74 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Письма в Журнал экспериментальной и теоретической физики Pis'ma v Zhurnal Иksperimental'noi i Teoreticheskoi Fiziki
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