Vacuum Polarization and Screening of Supercritical Impurities in Graphene

Abstract

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.

5 pages, 2 figures

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• Carrier transport in 2D graphene layers
• Quantum Hall Ferromagnetism in Graphene
• Electron transport in disordered graphene
• Nonlinear screening of charge impurities in graphene
• Charge and Spin Transport at the Quantum Hall Edge of Graphene

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