English

Dynamic Screening and Low Energy Collective Modes in Bilayer Graphene

Materials Science 2010-11-18 v2 Mesoscale and Nanoscale Physics

Abstract

We theoretically study the dynamic screening properties of bilayer graphene within the random phase approximation assuming quadratic band dispersion and zero gap for the single-particle spectrum. We calculate the frequency dependent dielectric function of the system and obtain the low energy plasmon dispersion and broadening of the plasmon modes from the dielectric function. We also calculate the optical spectral weight (i.e. the dynamical structure factor) for the system. We find that the leading order long wavelength limit of the plasmon dispersion matches with the classical result for 2D electron gas. However, contrary to electron gas systems, the non-local plasmon dispersion corrections decrease the plasmon frequency. The non-local corrections are also different from the single layer graphene. Finally, we also compare our results with the double layer graphene system (i.e. a system of two independent graphene monolayers).

Keywords

Cite

@article{arxiv.1006.3078,
  title  = {Dynamic Screening and Low Energy Collective Modes in Bilayer Graphene},
  author = {Rajdeep Sensarma and E. H. Hwang and S. Das Sarma},
  journal= {arXiv preprint arXiv:1006.3078},
  year   = {2010}
}

Comments

Typos corrected in equations, expanded discussion, new section on crossover from bilayer to single layer behaviour, new figures added. 10 pages 8 Figures