Abstract
It is demonstrated that planar solitary waves of the
longitudinal compression can propagate in a graphene
sheet with supersonic velocities from a narrow range. In
an infinite sheet, such a solitary wave does not change its
shape, and interaction between two solitary waves is elastic
with no energy loss for radiation. However, in a graphene
nanoribbon the solitary waves are affected by the nanoribbon
edges which stipulate the phonon emission. As a result, the
soliton lifetime becomes finite, and it is roughly equal to the
double width of the nanoribbon.
References (8)
1. T.Yu. Astakhova, O.D. Gurin, M. Menon, and G.A.Vinogradov. Phys. Rev. B 64, 035418 (2001).
2. T.Yu. Astakhova, M. Menon, and G.A. Vinogradov. Phys.Rev. B 70, 125409 (2004).
3. A.V. Savin and O.I. Savina. Fizika tverdogo tela 46(2) 372(2004) (in Russian). Physics of the Solid State, 46(2) 383(2004).
4. Y. Zolotaryuk, A.V. Savin, and P.L. Christiansen. Phys.Rev. B, 57(22) 14213 (1998).
5. G. Lee and K. Cho. Phys. Rev. B 79, 165440 (2009).
6. D.W. Boukhvalov and M.I. Katsnelson. Nano Letters 8, 4373 (2008).
7. A.V. Savin and Yu.S. Kivshar, EPL 82, 66002 (2008).
8. A.V. Savin, Y.S. Kivshar, and B. Hu. Phys. Rev. B 82, 195422 (2010).