Thermal fluctuations of free standing graphene

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.

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

References in corpus (4)

• The electronic properties of graphene
• The structure of suspended graphene sheets
• Finite temperature lattice properties of graphene beyond the quasiharmonic approximation
• Crumpling transition and flat phase of polymerized phantom membranes

Cited by in corpus (4)

• Suppression of anharmonicities in crystalline membranes by external strain
• Self-Consistent Screening Approximation for Flexible Membranes: Application to Graphene
• Nonlocal effective average action approach to crystalline phantom membranes
• Flexuron, a self-trapped state of electron in crystalline membranes