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SmB6 was recently proposed to be both a strong topological insulator and atopological crystalline insulator. For this and related cubic topological Kondoinsulators, we prove the existence of four different topological phases,distinguished by the sign of mirror Chern numbers. We characterize these phasesin terms of simple observables, and we provide concrete tight-binding modelsfor each phase. Based on theoretical and experimental results for SmB6 weconclude that it realizes the phase with C^+_{k_z=0}=+2, C^+_{k_z=pi}=+1,C^+_{k_x=k_y}=-1, and we propose a corresponding minimal model.

Distinct topological crystalline phases in models for the strongly correlated topological insulator SmB6