Neutrality point of graphene with coplanar charged impurities

Details Neutrality point of graphene with coplanar charged impurities Neutrality point of graphene with coplanar charged impurities

2008-10-10

arxiv.org/abs/0810.1755v3

Phys. Rev. Lett. 103, 236801 (2009)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

(v3) 4 pages main paper, 2 pages supplementary info, no figures

Scientific paper

10.1103/PhysRevLett.103.236801

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 $\alpha$, the dimensionless strength of the Coulomb interaction. The theory is asymptotically exact when $\alpha$ is small, which is the case for graphene on a substrate with a high dielectric constant.

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