Vacuum Polarization and Screening of Supercritical Impurities in Graphene

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dc.creatorShytov, A. V.
dc.creatorKatsnelson, M. I.
dc.creatorLevitov, L. S.
dc.date2007-05-31
dc.date2007-07-23
dc.date.accessioned2026-07-07T08:47:48Z
dc.date.available2026-07-07T08:47:48Z
dc.descriptionScreening of charge impurities in graphene is analyzed using the exact solution for vacuum polarization obtained from the massless Dirac-Kepler problem. For the impurity charge below certain critical value no density perturbation is found away from the impurity, in agreement with the linear response theory result. For supercritical charge, however, the polarization distribution is shown to have a power law profile, leading to screening of the excess charge at large distances. The Dirac-Kepler scattering states give rise to standing wave oscillations in the local density of states which appear and become prominent in the supercritical regime.
dc.description5 pages, 2 figures
dc.identifierhttps://arxiv.org/abs/0705.4663
dc.identifierhttp://arxiv.org/abs/0705.4663
dc.identifierPhys. Rev. Lett. 99, 236801 (2007)
dc.identifierdoi:10.1103/PhysRevLett.99.236801
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/143727
dc.subjectMesoscale and Nanoscale Physics
dc.subjectMaterials Science
dc.titleVacuum Polarization and Screening of Supercritical Impurities in Graphene
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