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We present the collective excitations spectrum (magnetoplasmon spectrum) of  Dirac electrons in a weakly modulated single graphene layer in the presenceof a uniform magnetic field. We consider electric modulation in one-dimensionand the magnetic field applied perpendicular to graphene.We derive analyticalresults for the intra-Landau band plasmon spectrum within theself-consistent-field approach. We find Weiss oscillations in themagnetoplasmon spectrum which is the primary focus of this work. Results arepresented for the intra-Landau band magnetoplasmon spectrum as a function ofinverse magnetic field. These results are also compared with those ofconventional 2DEG. We have found that the Weiss oscillations in themagnetoplasmon spectrum are larger in amplitude compared to those inconventional 2DEG for the same modulation strength, period of modulation andelectron density.

Theory of Weiss oscillations in the magnetoplasmon spectrum of Dirac electrons in graphene