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We study a generic topological Kondo insulator system by performing amean-field theoretic calculation within the frame-work of slave-boson protocol.We assume infinite Hubbard-type interaction among the localized electrons. Thedifference between the bulk metallic and insulating phases of the insulator isin the sign of nearest neighbor hopping of localized electrons. The hoppingamplitude is positive for the metallic and negative for the insulating phase.The surface metallicity together with bulk insulation, however, requires verystrong f electron localization. Furthermore, we find that the exchange field,arising due to the presence of the magnetic impurities on the surface of thesystem, opens a gap at the gapless Dirac dispersion of the surface states. Forthe gapped surface state spectrum, we find the possibility of intra-band aswell as inter-band unconventional plasmons. The paramountcy of the bulkmetallicity, and, in the presence of the Rashba impurities, the insulatorsurface comprising of helical liquids are the important outcomes of the presentcommunication. The access to the gapless Dirac spectrum leads to spin plasmonswith the usual wave vector dependence q^1/2. The Rashba coupling does notimpair the Kondo screening and does not affect the quantum critical point forthe bulk.

Investigation of Surface State of Topological Kondo Insulator with Rashba Impurities