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 (12)

• Detection of Individual Gas Molecules Absorbed on Graphene
• Carrier transport in 2D graphene layers
• Transport measurements across a tunable potential barrier in graphene
• Quantum transport of massless Dirac fermions in graphene
• Non-Fermi liquid behaviour of electrons in the half-filled honeycomb lattice (A renormalization group approach)
• Electronic transport and quantum Hall effect in bipolar graphene p-n-p junction
• Marginal Fermi liquid behavior from 2d Coulomb interaction
• Friedel oscillations, impurity scattering and temperature dependence of resistivity in graphene
• The Coulomb impurity problem in graphene
• Quantum critical point in graphene approached in the limit of infinitely strong Coulomb interaction
• Nonlinear screening of charge impurities in graphene
• Dirac electron in a Coulomb Field in 2+1 Dimensions

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