Coulomb excitations for Gapped Graphene in a perpendicular magnetic field

We investigate numerically the Coulomb excitations for gapped graphene and other buckled honeycomb lattices (such as silicene and germanene) in the present of a perpendicular magnetic field. The plasmons are calculated within the random phase approximation. The collective excitations in the presence of a perpendicular magnetic field for such gapped systems are shown to be different from those for both intrinsic gapless graphene as well as a standard two-dimensional electron gas. We present a theoretical description of Bernstein modes that appear due to the coupling between inter-Landau-level excitations and plasmons.