Charge response function and a novel plasmon mode in graphene

Gangadharaiah, S.; Farid, A. M.; Mishchenko, E. G.

Charge response function and a novel plasmon mode in graphene

Authors

Gangadharaiah, S.

Farid, A. M.

Mishchenko, E. G.

Description

Polarizability of non-interacting 2D Dirac electrons has a 1/\sqrt{qv-ω} singularity at the boundary of electron-hole excitations. The screening of this singularity by long-range electron-electron interactions is usually treated within the random phase approximation. The latter is exact only in the limit of N -> infinity, where N is the ``color'' degeneracy. We find that the ladder-type vertex corrections become crucial close to the threshold as the ratio of the n-th order ladder term to the same order RPA contribution is (\ln|qv-ω|)^n/N^n$. We perform analytical summation of the infinite series of ladder diagrams which describe excitonic effect. Beyond the threshold, qv>ω, the real part of the polarization operator is found to be positive leading to the appearance of a strong and narrow plasmon resonance.
4 pages, 3 figures,typos corrected