Thermal fluctuations of free standing graphene

Autor: Braghin, F. L., Hasselmann, N.
Rok vydání: 2010
Předmět:
Zdroj: Phys. Rev. B 82, 035407 (2010)
Druh dokumentu: Working Paper
DOI: 10.1103/PhysRevB.82.035407
Popis: 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.
Comment: 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
Databáze: arXiv