Band gaps in incommensurable graphene on hexagonal boron nitride
  Devising ways of opening a band gap in graphene to make charge-carrier masses finite is essential for many applications. Recent experiments with graphene on hexagonal boron nitride (h-BN) offer tantalizing hints that the weak interaction with the substrate is sufficient to open a gap, in contradiction of earlier findings. Using many-body perturbation theory, we find that the small observed gap is what remains after a much larger underlying quasiparticle gap is suppressed by incommensurability. The sensitivity of this suppression to a small modulation of the distance separating graphene from the substrate suggests ways of exposing the larger underlying gap. 
Menno Bokdam, Taher Amlaki, Geert Brocks, Paul J. Kelly
cond-mat.mes-hall cond-mat.mtrl-sci