Bending modes, anharmonic effects and thermal expansion coefficient in single layer and multilayer graphene
Materials Science
2015-06-05 v1 Mesoscale and Nanoscale Physics
Abstract
We present a simple analytical approach to study anharmonic effects in single layer, bilayer, and multilayer graphene. The coupling between in plane and out of plane modes leads to negative Gr\"uneisen coefficients and negative thermal expansion. The value of the thermal expansion coefficient depends on the coupling to the substrate. The bending rigidity in bilayer graphene shows a crossover between a long wavelength regime where its value is determined by the in plane elastic properties and a short wavelength regime where its value approaches twice that of a single layer.
Keywords
Cite
@article{arxiv.1206.4896,
title = {Bending modes, anharmonic effects and thermal expansion coefficient in single layer and multilayer graphene},
author = {P. L. de Andres and F. Guinea and M. I. Katsnelson},
journal= {arXiv preprint arXiv:1206.4896},
year = {2015}
}