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The mixed-valence compound SmB6 with partially filled samarium 4f flat bandshybridizing with 5d conduction bands is a paramount example of a correlatedtopological heavy-fermion system. In this study we revisit the topology of SmB6with the band theory paradigm and uncover previously overlooked aspectsresulting from the formation of multiple topological gaps in the electronicstructure. By invoking topological quantum chemistry (TQC) we provide adetailed classification of the strong and crystalline topological features thatderive from the existence of such topological gaps. To corroborate thisclassification, we calculate Wilson loops and simulate the surface electronicstructure using a minimal tight-binding model, allowing us to describe itssurface states and confirm the crystalline topology. We finally discuss itsimplications for experiments.

Topology of SmB6 revisited by means of topological quantum chemistry