  A study of the formation of excitons as a problem of two Dirac particles
confined in two-layer graphene sheets separated by a dielectric when gaps are
opened and they interact via a Coulomb potential is presented. We propose to
observe Bose-Einstein condensation and superfluidity of quasi-two-dimensional
dipole excitons in double layer graphene in the presence of band gaps. The
energy spectrum of the collective excitations, the sound spectrum, and the
effective exciton mass are functions of the energy gaps, density and interlayer
separation. The superfluid density ns and temperature of the
Kosterlitz-Thouless phase transition Tc are decreasing functions of the energy
gaps as well as the interlayer separation, and therefore, could be controlled
by these parameters.
