End states in a 1-D topological Kondo insulator

Abstract

To gain further insight into the properties of interacting topological insulators, we study a 1 dimensional model of topological Kondo insulators which can be regarded as the strongly interacting limit of the Tamm-Shockley model. Treating the model in a large $N$ expansion, we find a number of competing ground-state solutions, including topological insulating and valence bond ground-states. One of the effects to emerge in our treatment is a reconstruction of the Kondo screening process near the boundary of the material ("Kondo band bending"). Near the boundary for localization into a valence bond state, we find that the conduction character of the edge state grows substantially, leading to states that extend deeply into bulk. We speculate that such states are the one-dimensional analog of the light f-electron surface states which appear to develop in the putative topological Kondo insulator, SmB6.

arXiv comment9 pp, 7 figs

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• Kondo Breakdown in Topological Kondo Insulators
• Surface Theory of a Family of Topological Kondo Insulators
• Two-dimensional heavy fermions on the strongly correlated boundaries of Kondo topological insulators
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• Magnetic end-states in a strongly-interacting one-dimensional topological Kondo insulator
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• Why rare-earth ferromagnets are so rare: insights from the p-wave Kondo model
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