Vacuum Polarization and Screening of Supercritical Impurities in Graphene

Details Vacuum Polarization and Screening of Supercritical Impurities in Graphene Vacuum Polarization and Screening of Supercritical Impurities in Graphene

2007-05-31

arxiv.org/abs/0705.4663v2

Phys. Rev. Lett. 99, 236801 (2007)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

5 pages, 2 figures

Scientific paper

10.1103/PhysRevLett.99.236801

Screening 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.

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