We re-examine the quantum q and transport t scattering lifetimes due to background impurities in twodimensional systems. We show that the well-known logarithmic divergence in the quantum lifetime is due to the nonphysical assumption of an infinitely thick heterostructure and demonstrate that the existing nondivergent multiple scattering theory can lead to unphysical quantum scattering lifetimes...

We study electron transport properties of graphene in the presence of correlated charged impurities via adsorption and thermal annealing of potassium atoms. For the same density of charged scattering centers, the sample mobility sensitively depends on temperature which sets the correlation length between the scatterers. The data are well-understood by a recent theory that allows us to quantitat...

We present the complete formalism that describes scattering in graphene at lowenergies. We begin by analyzing the real-space free Green’s function matrix, and its analytical expansions at low-energy, carefully incorporating the discrete lattice structure, and arbitrary forms of the atomic-orbital wave function. We then compute the real-space Green’s function in the presence of an impurity. We e...