A self-consistent theory for graphene transport Shaffique Adam, E. H. Hwang, V. M. Galitski, and S. Das Sarma present a theoretical analysis of graphene transport properties at zero magnetic field, demonstrating that most observed transport behaviors are due to scattering from charged impurities. They find that these properties are not universal but depend on the impurity concentration $ n_{imp} $. For dirty samples, the minimum conductivity at low carrier density is $ 4e^2/h $, consistent with early experiments, with weak dependence on impurity concentration. For cleaner samples, the minimum conductivity strongly depends on $ n_{imp} $, increasing to $ 8e^2/h $ for $ n_{imp} \sim 20 \times 10^{10} cm^{-2} $. The authors suggest that improving graphene mobility can be achieved by eliminating charged impurities or using a substrate with a higher dielectric constant. The paper discusses the unique properties of graphene, including its band structure and electron transport behavior. It argues that the physics of graphene is more similar to Metal-Oxide-Semiconductor-Field-Effect-Transistors (MOSFETs) than to relativistic chiral Fermions. The authors analyze transport properties of graphene, including the minimum conductivity plateau and high-density conductivity, and propose a self-consistent RPA-Boltzmann formalism to explain these phenomena. They derive analytic expressions for mobility, plateau width, minimum conductivity, and gate voltage shift. The results show that the minimum conductivity is not universal but depends on impurity concentration, with cleaner samples showing higher values. The authors also discuss the importance of charged impurity scattering in determining graphene transport properties and compare their results with experimental data. They emphasize that the observed transport properties of doped graphene do not access the Dirac point physics, at least in currently available samples. The paper concludes that the self-consistent theory provides a quantitative explanation for the observed minimum conductivity plateau and highlights the importance of understanding graphene transport for technological applications. The theory is validated against experimental data and shows good agreement with recent studies.A self-consistent theory for graphene transport Shaffique Adam, E. H. Hwang, V. M. Galitski, and S. Das Sarma present a theoretical analysis of graphene transport properties at zero magnetic field, demonstrating that most observed transport behaviors are due to scattering from charged impurities. They find that these properties are not universal but depend on the impurity concentration $ n_{imp} $. For dirty samples, the minimum conductivity at low carrier density is $ 4e^2/h $, consistent with early experiments, with weak dependence on impurity concentration. For cleaner samples, the minimum conductivity strongly depends on $ n_{imp} $, increasing to $ 8e^2/h $ for $ n_{imp} \sim 20 \times 10^{10} cm^{-2} $. The authors suggest that improving graphene mobility can be achieved by eliminating charged impurities or using a substrate with a higher dielectric constant. The paper discusses the unique properties of graphene, including its band structure and electron transport behavior. It argues that the physics of graphene is more similar to Metal-Oxide-Semiconductor-Field-Effect-Transistors (MOSFETs) than to relativistic chiral Fermions. The authors analyze transport properties of graphene, including the minimum conductivity plateau and high-density conductivity, and propose a self-consistent RPA-Boltzmann formalism to explain these phenomena. They derive analytic expressions for mobility, plateau width, minimum conductivity, and gate voltage shift. The results show that the minimum conductivity is not universal but depends on impurity concentration, with cleaner samples showing higher values. The authors also discuss the importance of charged impurity scattering in determining graphene transport properties and compare their results with experimental data. They emphasize that the observed transport properties of doped graphene do not access the Dirac point physics, at least in currently available samples. The paper concludes that the self-consistent theory provides a quantitative explanation for the observed minimum conductivity plateau and highlights the importance of understanding graphene transport for technological applications. The theory is validated against experimental data and shows good agreement with recent studies.