title: Critical level statistics for weakly disordered graphene.
abstract: In two dimensions chaotic level statistics with the Wigner spacing distribution P(S) is expected for massless fermions in the Dirac region. The obtained P(S) for weakly disordered finite graphene samples with zigzag edges turns out, however, to be neither chaotic (Wigner) nor localized (Poisson). It is similar to the intermediate statistics at the critical point of the Anderson metal-insulator transition. The quantum transport of finite graphene for weak disorder, with critical level statistics can occur via edge states as in topological insulators, and for strong disorder, graphene behaves as an ordinary Anderson insulator with Poisson statistics.
authors.affiliation: Department of Physics, University of Ioannina, Ioannina 45110, Greece.
authors.forename: E
authors.initials: E
authors.lastname: Amanatidis
authors.forename: I
authors.initials: I
authors.lastname: Kleftogiannis
authors.forename: D E
authors.initials: DE
authors.lastname: Katsanos
authors.forename: S N
authors.initials: SN
authors.lastname: Evangelou
mesh_terms: D004553:Electric Conductivity; D006108:Graphite / Q000737:chemistry*; D008958:Models, Molecular; D015233:Models, Statistical; D044367:Phase Transition; D011789:Quantum Theory; D013816:Thermodynamics
chemical_list: D006108:Graphite