Lévy flights due to anisotropic disorder in graphene
arXiv:1604.07623 · doi:10.1103/PhysRevLett.117.046603
Abstract
We study transport properties of graphene with anisotropically distributed on-site impurities (adatoms) that are randomly placed on every third line drawn along carbon bonds. We show that stripe states characterized by strongly suppressed back-scattering are formed in this model in the direction of the lines. The system reveals Lévy-flight transport in stripe direction such that the corresponding conductivity increases as the square root of the system length. Thus, adding this type of disorder to clean graphene near the Dirac point strongly enhances the conductivity, which is in stark contrast with a fully random distribution of on-site impurities which leads to Anderson localization. The effect is demonstrated both by numerical simulations using the Kwant code and by an analytical theory based on the self-consistent -matrix approximation.
11 pages, 6 figures
References in corpus (14)
- Control of graphene's properties by reversible hydrogenation
- Anderson Transitions
- Fluorographene: Two Dimensional Counterpart of Teflon
- Electron transport in disordered graphene
- Effect of Disorder on Transport in Graphene
- Resonant scattering by realistic impurities in graphene
- Monovalent impurities on graphene: midgap states and migration barriers
- Colossal negative magnetoresistance in dilute fluorinated graphene
- Quantum criticality and minimal conductivity in graphene with long-range disorder
- Macroscopic self-reorientation of interacting two-dimensional crystals
- Diffusion and criticality in undoped graphene with resonant scatterers
- Resonant low-energy electron scattering on short-range impurities in graphene
- Conductivity of disordered graphene at half filling
- Color-dependent conductance of graphene with adatoms
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