Vertical absorption edge and universal onset conductance in semi-hydrogenated graphene

preprint2009arXivOpen access

Abstract

We show that for graphene with any finite difference in the on-site energy between the two sub-lattices (ΔΔ), The optical absorption edge is determined by the ΔΔ. The universal conductance will be broken and the conductance near the band edge varies with frequency as 1/ω21/ω^2. Moreover, we have identified another universal conductance for such systems without inversion symmetry, i.e., the onset conductance at the band edge is % σ_c=2σ_0=πe^2/2h, independent of the size of the band gap. The total integrated optical response is nearly conserved despite of the opening of the band gap.

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