Electron-Electron Interactions in the Vacuum Polarization of Graphene

Details Electron-Electron Interactions in the Vacuum Polarization of Graphene Electron-Electron Interactions in the Vacuum Polarization of Graphene

2007-06-15

arxiv.org/abs/0706.2185v4

Physical Review B 78, 035119 (2008)

Physics

Condensed Matter

Strongly Correlated Electrons

5 pages, 2 figures; published version

Scientific paper

10.1103/PhysRevB.78.035119

We discuss the effect of electron-electron interactions on the static polarization properties of graphene beyond RPA. Divergent self-energy corrections are naturally absorbed into the renormalized coupling constant $\alpha$. We find that the lowest order vertex correction, which is the first non-trivial correlation contribution, is finite, and about 30% of the RPA result at strong coupling $\alpha \sim 1$. The vertex correction leads to further reduction of the effective charge. Finite contributions to dielectric screening are expected in all orders of perturbation theory.

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