The Induced Charge Generated By The Potential Well In Graphene

Abstract

The induced charge density, ${\rho }_{ind}(\mathbf{r})$, generated in graphene by the potential well of the finite radius $R$ is considered. The result for ${\rho }_{ind}(\mathbf{r})$ is derived for large distances $r\gg R$. We also obtained the induced charges outside of the radius $r\gg R$ and inside of this radius for subcritical and supercritical regimes. The consideration is based on the convenient representation of the induced charge density via the Green's function of electron in the field.

12 pages, 2 figures, version published in Phys.Rev. B

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• Effect of topological defects and Coulomb charge on the low energy quantum dynamics of gapped graphene
• Polarization Charge around Impurities in Two-Dimensional Anisotropic Dirac Systems