Anderson Transition in Disordered Graphene

Abstract

We use the regularized kernel polynomial method (RKPM) to numerically study the effect disorder on a single layer of graphene. This accurate numerical method enables us to study very large lattices with millions of sites, and hence is almost free of finite size errors. Within this approach, both weak and strong disorder regimes are handled on the same footing. We study the tight-binding model with on-site disorder, on the honeycomb lattice. We find that in the weak disorder regime, the Dirac fermions remain extended and their velocities decrease as the disorder strength is increased. However, if the disorder is strong enough, there will be a {\em mobility edge} separating {\em localized states around the Fermi point}, from the remaining extended states. This is in contrast to the scaling theory of localization which predicts that all states are localized in two-dimensions (2D).

4 pages

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Cited by in corpus (16)

• Disorder and Electronic Transport in Graphene
• Anderson localization in two-dimensional graphene with short-range disorder: One-parameter scaling and finite-size effects
• RKKY Interaction in Disordered Graphene
• RKKY Interactions in Graphene: Dependence on Disorder and Gate Voltage
• Metal-insulator transition in hydrogenated graphene as manifestation of quasiparticle spectrum rearrangement of anomalous type
• Resilience of Majorana Fermions in the face of Disorder
• Analytical and numerical study of uncorrelated disorder on a honeycomb lattice
• Disorder induced loss of magnetization in Lieb's graphene quantum dots
• The effects of disorder and interactions on the Anderson transition in doped Graphene
• Comment on "Anderson transition in disordered graphene"
• Electrical conductivity and resonant states of doped graphene considering next-nearest neighbor interaction
• Localisation and finite-size effects in graphene flakes
• RKKY interaction in heavily vacant graphene
• Strong-coupling perturbative study of the disordered Hubbard model on honeycomb lattice
• Phase transitions in the binary-alloy Hubbard model: insight from strong-coupling perturbation theory
• Anderson Transition in Disordered Bilayer Graphene