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We calculate theoretically the optical conductivity in the bilayer grapheneby considering Kubo-Green-Matsubara formalism. Different regimes of theinterlayer coupling parameter have been considered in the paper. We show thatthe excitonic effects substantially affect the optical conductivity spectrum atthe high-frequency regime when considering the full interaction bandwidth,leading to a total suppression of the usual Drude intraband optical transitionchannels and by creating a new type of optical gap. We discuss the role of theinterlayer coupling parameter and the Fermi level on the conductivity spectrum,going far beyond the usual tight-binding approximation scheme for the extrinsicbilayer graphene.

High energy shift in the optical conductivity spectrum of the bilayer graphene