arXiv · 0710.0622
Charge response function and a novel plasmon mode in graphene
Abstract
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.
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S. Gangadharaiah, A. M. Farid, E. G. Mishchenko. 2008-05-02. Charge response function and a novel plasmon mode in graphene. https://doi.org/10.1103/physrevlett.100.166802
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