Thermal fluctuations of free standing graphene
Soft Condensed Matter
2010-07-13 v3 Mesoscale and Nanoscale Physics
Abstract
We use non-perturbative renormalization group techniques to calculate the momentum dependence of thermal fluctuations of graphene, based on a self-consistent calculation of the momentum dependent elastic constants of a tethered membrane. We find a sharp crossover from the perturbative to the anomalous regime, in excellent agreement with Monte Carlo results for graphene, and give an accurate value for the crossover scale. Our work strongly supports the notion that graphene is well described as a tethered membrane. Ripples emerge naturally from our analysis.
Keywords
Cite
@article{arxiv.1003.5116,
title = {Thermal fluctuations of free standing graphene},
author = {F. L. Braghin and N. Hasselmann},
journal= {arXiv preprint arXiv:1003.5116},
year = {2010}
}
Comments
5 pages, 2 figures; discussion of the Ginzburg scale of the out-of-plane fluctuations and its relation to ripples was extended. Final version, to appear in PRB