The Induced Charge Generated By The Potential Well In Graphene

Details The Induced Charge Generated By The Potential Well In Graphene The Induced Charge Generated By The Potential Well In Graphene

2009-12-04

arxiv.org/abs/0912.0770v2

Phys. Rev. B.81, 125419 (2010)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

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

Scientific paper

10.1103/PhysRevB.81.125419

The induced charge density, $\rho_{ind}(\bm r)$, generated in graphene by the potential well of the finite radius $R$ is considered. The result for $\rho_{ind}(\bm r)$ 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.

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