Comparison of microscopic models for disorder in bilayer graphene: Implications for the density of states and the optical conductivity

Details Comparison of microscopic models for disorder in bilayer graphene: Implications for the density of states and the optical conductivity Comparison of microscopic models for disorder in bilayer graphene: Implications for the density of states and the optical conductivity

2011-09-26

arxiv.org/abs/1109.5702v2

Phys. Rev. B 85, 045411 (2012)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

11 pages, 6 figures

Scientific paper

10.1103/PhysRevB.85.045411

We study the effects of disorder on bilayer graphene using four different microscopic models and directly compare their results. We compute the self-energy, density of states, and optical conductivity in the presence of short-ranged scatterers and screened Coulomb impurities, using both the Born approximation and self-consistent Born approximation for the self-energy. We also include a finite interlayer potential asymmetry which generates a gap between the valence and conduction bands. We find that the qualitative behavior of the two scattering potentials are similar, but that the choice of approximation for the self-energy leads to important differences near the band edge in the gapped case. Finally, we describe how these differences manifest in the measurement of the band gap in optical and transport experimental techniques.

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