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Exact numerical calculations of the conductivity of graphene sheets withrandom and correlated distributions of disorders have been performed using thetime-dependent real-space Kubo formalism. The disorder was modeled by thelong-range Gaussian potential describing screened charged impurities and by theshort-range potential describing neutral adatoms both in the weak and strongscattering regime. Our central result is that correlation in the spatialdistribution for the strong short-range scatterers and for the long-rangeGaussian potential do not lead to any enhancement of the conductivity incomparison to the uncorrelated case. Our results strongly indicate that thetemperature enhancement of the conductivity reported in the recent study (Yanand Fuhrer, Phys. Rev. Lett. 107, 206601 (2011)) and attributed to the effectof dopant correlations was most likely caused by other factors not related tothe correlations in the scattering potential.

Influence of correlated impurities on conductivity of graphene sheets: Time-dependent real-space Kubo approach