Screening of a hypercritical charge in graphene
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Screening of a large external charge in graphene is studied. The charge is assumed to be displaced away or smeared over a finite region of the graphene plane. The initial decay of the screened potential with distance is shown to follow the 3/2 power. It gradually changes to the Coulomb law outside of a hypercritical core whose radius is proportional to the external charge.
(v1) 4 pages, 1 figure (v2) Much improved introduction; extended range of numerics
(v1) 4 pages, 1 figure (v2) Much improved introduction; extended range of numerics