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.

9 pp, 7 figs

References in corpus (9)

• Classification of topological insulators and superconductors in three spatial dimensions
• Topological Field Theory of Time-Reversal Invariant Insulators
• Three dimensional topological invariants for time reversal invariant Hamiltonians and the three dimensional quantum spin Hall effect
• Time Reversal Polarization and a Z_2 Adiabatic Spin Pump
• Identifying Topological Order by Entanglement Entropy
• Correlated Topological Insulators with Mixed Valence
• Simplified topological invariants for interacting insulators
• Topological orbital ladders
• Hybridization, Inter-Ion Correlation, and Surface States in the Kondo Insulator SmB6

Cited by in corpus (12)

• 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
• Magnetic end-states in a strongly-interacting one-dimensional topological Kondo insulator
• Two relativistic Kondo effects: Classification with particle and antiparticle impurities
• Shadow surface states in topological Kondo insulators
• Topological zero modes and correlation pumping in an engineered Kondo lattice
• Surface vs bulk electronic structures of a moderately correlated topological insulator YbB6 revealed by ARPES
• Topological end states and Zak phase of rectangular armchair ribbon
• Electric and Magnetic Properties of Higher-Spin Kondo-Heisenberg Models at Strong Coupling
• Spin fractionalization in a Kondo-lattice superconductor heterostructure
• Topological quantum phase transition in strongly correlated Kondo insulators in 1D