Abstract
The ground state and the transport properties of graphene subject to the potential of in-plane charged impurities are studied. The screening of the impurity potential is shown to be nonlinear, producing a fractal structure of electron and hole puddles. Statistical properties of this density distribution as well as the charge compressibility of the system are calculated in the leading-log approximation. The conductivity depends logarithmically on , the dimensionless strength of the Coulomb interaction. The theory is asymptotically exact when is small, which is the case for graphene on a substrate with a high dielectric constant.
- Received 16 October 2008
DOI:https://doi.org/10.1103/PhysRevLett.103.236801
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