Quantum transport in disordered graphene: A theoretical perspective

The present theoretical review puts into perspective simulations of quantum transport properties in disordered graphene-based materials. In particular, specific effects induced by short versus long range scattering on the minimum conductivity, weak (anti-)localization, and strongly insulating regimes are discussed in depth. Using various types of disorder profiles (random fluctuations of the local impurity potential, long range Coulomb scatterers or more intrusive chemical functionalizations), universal aspects of transport as well as novel features in chemically modified graphene-based materials are depicted, especially in the cases of oxygen and hydrogen atoms adsorption. Finally, our theoretical results are compared to experimental measurements.