Thermal fluctuations of free standing graphene

Details Thermal fluctuations of free standing graphene Thermal fluctuations of free standing graphene

2010-03-26

arxiv.org/abs/1003.5116v3

Phys. Rev. B 82, 035407 (2010)

Physics

Condensed Matter

Soft Condensed Matter

5 pages, 2 figures; discussion of the Ginzburg scale of the out-of-plane fluctuations and its relation to ripples was extended

Scientific paper

10.1103/PhysRevB.82.035407

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.

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