Spin textures on general surfaces of the correlated topological insulator SmB6

Abstract

Employing the $\mathbf{k}\cdot \mathbf{p}$ expansion for a family of tight-binding models for SmB${}_6$, we analytically compute topological surface states on a generic $(lmn)$ surface. We show how the Dirac-cone spin structure depends on model ingredients and on the angle $\theta$ between the surface normal and the main crystal axes. We apply the general theory to $(001)$, $(110)$, $(111)$, and $(210)$ surfaces, for which we provide concrete predictions for the spin pattern of surface states which we also compare with tight-binding results. As shown in previous work, the spin pattern on a $(001)$ surface can be related to the value of mirror Chern numbers, and we explore the possibility of topological phase transitions between states with different mirror Chern numbers and the associated change of the spin structure of surface states. Such transitions may be accessed by varying either the hybridization term in the Hamiltonian or the crystal-field splitting of the low-energy $f$ multiplets, and we compute corresponding phase diagrams.

References in corpus (17)

• Topological Crystalline Insulators
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• Unconventional Fermi surface in an insulating state
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• Surface-state spin textures and mirror Chern numbers in topological Kondo insulators
• Scanning tunneling spectroscopy and surface quasiparticle interference in models for the strongly correlated topological insulators SmB6 and PuB6
• Distinct topological crystalline phases in models for the strongly correlated topological insulator SmB6
• Model Hamiltonian for topological Kondo insulator SmB6
• Kondo holes in topological Kondo insulators: Spectral properties and surface quasiparticle interference
• Consistency of Photoemission and Quantum Oscillations for Surface States of SmB6
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• Multiple topological Dirac cones in a mixed-valent Kondo semimetal: g-SmS
• Ferromagnetism and glassiness on the surface of topological insulators
• Breakdown of bulk-projected isotropy in surface electronic states of topological Kondo insulator SmB${}_6$(001)
• An STM perspective on hexaborides: Surface states of the Kondo insulator SmB${}_6$
• Mapping out the emergence of topological features in the highly alloyed topological Kondo insulators Sm${}_{1-x}{M}_x$B${}_6$ ($M$=Eu, Ce)
• f-electron charge densities probed using core level non-resonant inelastic x-ray scattering