Screening of a hypercritical charge in graphene

Details Screening of a hypercritical charge in graphene Screening of a hypercritical charge in graphene

2007-07-06

arxiv.org/abs/0707.1023v3

Phys. Rev. B 76, 233402 (2007)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

(v1) 4 pages, 1 figure (v2) Much improved introduction; extended range of numerics

Scientific paper

10.1103/PhysRevB.76.233402

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.

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