Polarization Charge Distribution in Gapped Graphene

Details Polarization Charge Distribution in Gapped Graphene Polarization Charge Distribution in Gapped Graphene

2008-06-07

arxiv.org/abs/0806.1228v2

Physical Review B 78, 075433 (2008)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

6 pages, 4 figures; expanded version

Scientific paper

10.1103/PhysRevB.78.075433

We study the distribution of vacuum polarization charge induced by a Coulomb impurity in massive graphene. By analytically computing the polarization function, we show that the charge density is distributed in space in a non-trivial fashion, and on a characteristic length-scale set by the effective Compton wavelength. The density crosses over from a logarithmic behavior below this scale, to a power law variation above it. Our results in the continuum limit are confirmed by explicit diagonalization of the corresponding tight-binding model on a finite-size lattice. Electron-electron interaction effects are also discussed.

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