Bending sound in graphene: origin and manifestation
arXiv:1510.07878 · doi:10.1016/j.physleta.2016.09.008
Abstract
It is proved that the acoustic-type dispersion of bending mode in graphene is generated by the fluctuation interaction between in-plane and out-of-plane terms in the free energy arising with account of non-linear components in the graphene strain tensor. In doing so we use an original adiabatic approximation based on the alleged (confirmed a posteriori) significant difference of sound speeds for in-plane and bending modes. The explicit expression for the bending sound speed depending only on the graphene mass density, in-plane elastic constants and temperature is deduced as well as the characteristics of the microscopic corrugations of graphene. The obtained results are in good quantitative agreement with the data of real experiments and computer simulations.
10 pages, 3 figures
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Cited by in corpus (8)
- Anharmonic effects in the optical and acoustic bending modes of graphene
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- Bending mode and thermal expansion of graphene
- Thermal properties of graphene under tensile stress
- Anharmonicity of the acoustic modes of graphene
- Critical behavior in graphene: spinodal instability at room temperature
- Thermal control of graphene morphology: a signature of its intrinsic surface tension
- Graphene thermal break-down induced by anharmonic bending mode