Coulomb impurity in graphene

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Biswas, Rudro R.
Sachdev, Subir
Son, Dam T.
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Abstract
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We consider the problem of screening of an electrically charged impurity in a clean graphene sheet. When electron-electron interactions are neglected, the screening charge has a sign opposite to that of the impurity, and is localized near the impurity. Interactions between electrons smear out the induced charge density to give a large-distance tail that follows approximately, but not exactly, an r^{-2} behavior and with a sign which is the same as that of the impurity.
Comment: 10 pages, 3 figures; (v2) Corrected sign error in Eq. (13); (v3) corrected figures
Keywords
Condensed Matter - Strongly Correlated Electrons, High Energy Physics - Theory
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