We develop the plasmon-pole approximation (PPA) theory for calculating the carrier self-energy of extrinsic graphene as a function of doping density within analytical approximations to the GW random phase approximation (GW-RPA). Our calculated self-energy shows excellent quantitative agreement with the corresponding full GW-RPA calculation results in spite of the simplicity of the PPA, establishing the general validity of the plasmon-pole approximation scheme. We also provide a comparison between the PPA and the hydrodynamic approximation in graphene, and comment on the experimental implications of our findings.
@article{arxiv.1808.02484,
title = {Plasmon-pole approximation for many-body-effects in extrinsic graphene},
author = {E. H. Hwang and Robert E. Throckmorton and S. Das Sarma},
journal= {arXiv preprint arXiv:1808.02484},
year = {2018}
}
Comments
13 pages, 9 figures. Expanded discussions of the use of PPA as a numerical approximation compared with other approximations and clarified that we are developing an analytical approximation for graphene. Combined Figs. 2-5 into a single figure. Published in Phys. Rev. B; this is the published version