Topological Kondo Insulators

Abstract

This article reviews recent theoretical and experimental work on a new class of topological material - topological Kondo insulators, which develop through the interplay of strong correlations and spin-orbit interactions. The history of Kondo insulators is reviewed along with the theoretical models used to describe these heavy fermion compounds. The Fu-Kane method of topological classification of insulators is used to show that hybridization between the conduction electrons and localized f-electrons in these systems gives rise to interaction-induced topological insulating behavior. Finally, some recent experimental results are discussed, which appear to confirm the theoretical prediction of the topological insulating behavior in Samarium hexaboride, where the long-standing puzzle of the residual low-temperature conductivity has been shown to originate from robust surface states.

Accepted as an article in the Annual Review of Condensed Matter Physics, Volume 7 (2016)

References in corpus (13)

• Quantum Spin Hall Effect and Topological Phase Transition in HgTe Quantum Wells
• Quantum Spin Hall Insulator State in HgTe Quantum Wells
• Topological Insulators with Inversion Symmetry
• A topological Dirac insulator in a quantum spin Hall phase : Experimental observation of first strong topological insulator
• Dissipationless Quantum Spin Current at Room Temperature
• Correlated Topological Insulators with Mixed Valence
• On the $Z_2$ classification of Quantum Spin Hall Models
• Unconventional Fermi surface in an insulating state
• Direct observation of the spin texture in strongly correlated SmB6 as evidence of the topological Kondo insulator
• Kondo Breakdown in Topological Kondo Insulators
• Surface Theory of a Family of Topological Kondo Insulators
• Surface-state spin textures and mirror Chern numbers in topological Kondo insulators
• Distinct topological crystalline phases in models for the strongly correlated topological insulator SmB6

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