Theory of charged impurity scattering in two dimensional graphene

TL;DR

This paper reviews how charged impurities influence the electronic properties and transport behavior of graphene, emphasizing screening effects and scattering mechanisms at various carrier densities.

Contribution

It provides a comprehensive theoretical overview of charged impurity effects on graphene's ground state and transport, including screening and scattering phenomena.

Findings

Charged impurities significantly affect graphene's density profile.

Screening reduces impurity potential impact at high densities.

Impurity scattering influences graphene's conductivity across densities.

Abstract

We review the physics of charged impurities in the vicinity of graphene. The long-range nature of Coulomb impurities affects both the nature of the ground state density profile as well as graphene's transport properties. We discuss the screening of a single Coulomb impurity and the ensemble averaged density profile of graphene in the presence of many randomly distributed impurities. Finally, we discuss graphene's transport properties due to scattering off charged impurities both at low and high carrier density.