▎ 摘　　要

In this paper we point out the possible observation of the Bose-Einstein condensation for a gas of paired photon dressed electrons in a graphene monolayer. At T=0 the condensation presents a strong crossover from the BCS state to the Bose-Einstein condensate. In an explicit way we calculated the fraction of condensed photon dressed electron pairs as a function of the photon electron bound energy and the temperature. The range of coherence of condensed quasiparticles is circumscribed to local bound states, where the Off diagonal long-range order is guaranteed via the BCS state. (c) 2014 Elsevier B.V. All rights reserved.