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Velocities of sound and the densities of phonon states in a uniformly strained flat graphene sheet

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Abstract

The effect of elastic strain on the mechanical and physical properties of graphene has been intensively studied in recent years. Using the molecular dynamics method, a surface has been built in the three-dimensional space of components of the plane strain tensor bounds the region of the structural stability of a flat graphene sheet without considering thermal vibrations and the influence of boundary conditions. The velocities of sound and the densities of phonon states in graphene subjected to an elastic strain within the region of the structural stability have been calculated. It has been shown that one of the velocities of sound becomes zero near the stability boundary of a flat graphene sheet. During biaxial tension of graphene, there is no gap in its phonon spectrum; however, it forms under uniaxial tension along the zigzag or armchair directions and also under combined tensile and compressive strains.

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Authors and Affiliations

  1. Institute for Metals Superplasticity Problems, Russian Academy of Sciences, ul. Khalturina 39, Ufa, 450001, Bashkortostan, Russia

    Yu. A. Baimova & S. V. Dmitriev

  2. Semenov Institute of Chemical Physics, Russian Academy of Sciences, ul. Kosygina 4, Moscow, 119991, Russia

    A. V. Savin

  3. Nonlinear Physics Centre, Research School of Physics and Engineering, Australian National University, Mlls Road 59, Canberra, ACT, 0200, Australia

    Yu. S. Kivshar’

Authors
  1. Yu. A. Baimova
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  2. S. V. Dmitriev
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  3. A. V. Savin
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  4. Yu. S. Kivshar’
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Correspondence to Yu. A. Baimova.

Additional information

Original Russian Text © Yu.A. Baimova, S.V. Dmitriev, A.V. Savin, Yu.S. Kivshar’, 2012, published in Fizika Tverdogo Tela, 2012, Vol. 54, No. 4, pp. 813–820.

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Baimova, Y.A., Dmitriev, S.V., Savin, A.V. et al. Velocities of sound and the densities of phonon states in a uniformly strained flat graphene sheet. Phys. Solid State 54, 866–874 (2012). https://doi.org/10.1134/S1063783412040026

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  • DOI: https://doi.org/10.1134/S1063783412040026

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