Quantum Transport in Chemically-modified Two-Dimensional Graphene: From   Minimal Conductivity to Anderson Localization
  An efficient computational methodology is used to explore charge transport properties in chemically-modified (and randomly disordered) graphene-based materials. The Hamiltonians of various complex forms of graphene are constructed using tight-binding models enriched by first-principles calculations. These atomistic models are further implemented into a real-space order-N Kubo-Greenwood approach, giving access to the main transport length scales (mean free paths, localization lengths) as a function of defect density and charge carrier energy. An extensive investigation is performed for epoxide impurities with specific discussions on both the existence of a minimum semi-classical conductivity and a crossover between weak to strong localization regime. The 2D generalization of the Thouless relationship linking transport length scales is here illustrated based on a realistic disorder model. 
Nicolas Leconte, Aur\'elien Lherbier, Fran\c{c}ois Varchon, Pablo   Ordejon, Stephan Roche, Jean-Christophe Charlier
cond-mat.mes-hall