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We analyze the impact of strong correlations on the surface states of athree-dimensional topological Kondo insulator. An important observation is thatcorrelations are strongly increased at the surface, which leads to anenergetical confinement of the surface $f$-electrons into a narrow windowaround the Fermi energy at low enough temperature. This correlation effect incombination with the nontrivial topology has two remarkable consequences: (i)coexistence of light and heavy surface states at low temperatures. While heavysurface states are formed directly in the surface layer, light surface statesare formed in the next-nearest surface layer. Furthermore, (ii) with increasingthe temperature, the heavy surface states become incoherent and only lightsurface states can be observed. The coexistence of light and heavy surfacestates is thereby a remarkable characteristic of the combination of strongcorrelations and nontrivial topology. We believe that these results areapplicable to the candidate topological Kondo insulator SmB6.

Coexistence of light and heavy surface states in a topological multi-band Kondo insulator