Screening of a hypercritical charge in graphene
arXiv:0707.1023 · doi:10.1103/PhysRevB.76.233402
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
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- Transport measurements across a tunable potential barrier in graphene
- Electronic transport and quantum Hall effect in bipolar graphene p-n-p junction
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Cited by in corpus (14)
- The electronic properties of graphene
- 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 center and excitonic instability in graphene
- Supercritical Coulomb Impurities in Gapped Graphene
- Atomic collapse, Lorentz boosts, Klein scattering, and other quantum-relativistic phenomena in graphene
- Screening of Coulomb Impurities in Graphene
- Theory of charged impurity scattering in two dimensional graphene
- Polarization Charge Distribution in Gapped Graphene
- Bound States in Graphene
- Induced Current and Aharonov-Bohm Effect in Graphene