Critical level-statistics for weakly disordered graphene
Disordered Systems and Neural Networks
2013-02-12 v1 Mesoscale and Nanoscale Physics
Abstract
In two dimensions chaotic level-statistics is expected for massless Dirac fermions in the presence of disorder. For weakly disordered graphene flakes with zigzag edges the obtained level-spacing distribution in the Dirac region is neither chaotic (Wigner) nor localized (Poisson) but similar to that at the critical point of the Anderson metal-insulator transition. The quantum transport in finite graphene can occur via critical edge states as in topological insulators, for strong disorder the Dirac region vanishes and graphene behaves as ordinary Anderson insulator.
Cite
@article{arxiv.1302.2470,
title = {Critical level-statistics for weakly disordered graphene},
author = {H. Amanatidis and I. Kleftogiannis and D. E. Katsanos and S. N. Evangelou},
journal= {arXiv preprint arXiv:1302.2470},
year = {2013}
}