  Using density functional theory, we present a comparative study of the
electronic properties of BN-doped graphene monolayer, bilayer, trilayer, and
multilayer systems. In addition, we address a superlattice of pristine and
BN-doped graphene. Five doping concentrations between 12.5% and 75% are
considered, for which we obtain band gaps from 0.02 eV to 2.43 eV. We show that
the effective mass varies between 0.007 and 0.209 free electron masses,
resembling a high mobility of the charge carriers.
