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

Abstract

SmB6 was recently proposed to be both a strong topological insulator and a topological crystalline insulator. For this and related cubic topological Kondo insulators, we prove the existence of four different topological phases, distinguished by the sign of mirror Chern numbers. We characterize these phases in terms of simple observables, and we provide concrete tight-binding models for each phase. Based on theoretical and experimental results for SmB6 we conclude 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.

5+4 pages, 3 figs

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Cited by in corpus (23)

• Interacting topological insulators: a review
• Topological Kondo Insulators
• Mixed-valence insulators with neutral Fermi surfaces
• 4$f$ crystal field ground state of the strongly correlated topological insulator SmB${}_6$
• Surface-state spin textures and mirror Chern numbers in topological Kondo insulators
• Spin textures on general surfaces of the correlated topological insulator SmB6
• Spin- and angle-resolved photoemission on the topological Kondo Insulator candidate: SmB6
• Characterization of a correlated topological Kondo insulator in one dimension
• Formation and condensation of excitonic bound states in the generalized Falicov-Kimball model
• Multiple topological Dirac cones in a mixed-valent Kondo semimetal: g-SmS
• Fragility of the Kondo insulating gap against disorder: relevance to recent puzzles in topological Kondo insulators
• Ferromagnetism and glassiness on the surface of topological insulators
• Universal properties of the near-gap spectra of SmB6: dynamical mean-field calculations and photoemission experiments
• Kramers' doublet ground state in topological Kondo insulators
• Comparative Scanning Tunneling Microscopy Study on Hexaborides
• An STM perspective on hexaborides: Surface states of the Kondo insulator SmB${}_6$
• Interacting topological phases in thin films of topological mirror Kondo insulators
• Surface reconstruction in a tight-binding model for the topological Kondo insulator SmB6
• Topology of SmB6 revisited by means of topological quantum chemistry
• Cotunneling into a Kondo lattice with odd hybridization
• Mapping out the emergence of topological features in the highly alloyed topological Kondo insulators Sm${}_{1-x}{M}_x$B${}_6$ ($M$=Eu, Ce)
• The role of the short range magnetic correlations on the gap opening of the topological Kondo insulators
• f-electron charge densities probed using core level non-resonant inelastic x-ray scattering