Screening of a hypercritical charge in graphene

Abstract

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

References in corpus (2)

• Electronic transport and quantum Hall effect in bipolar graphene p-n-p junction
• The Coulomb impurity problem in graphene

Cited by in corpus (8)

• Electronic properties of bilayer and multilayer graphene
• Ground-state of graphene in the presence of random charged impurities
• Nonlinear screening and ballistic transport in a graphene p-n junction
• Density-Functional Theory of Graphene Sheets
• Effect of disorder on a graphene p-n junction
• Supercritical Coulomb Impurities in Gapped Graphene
• Screening of Coulomb Impurities in Graphene
• Polarization Charge Distribution in Gapped Graphene