Correlation effects in two-dimensional topological insulators

Abstract

Topological insulators have become one of the most active research areas in condensed matter physics. This article reviews progress on the topic of electronic correlations effects in the two-dimensional case, with a focus on systems with intrinsic spin-orbit coupling and numerical results. Topics addressed include an introduction to the noninteracting case, an overview of theoretical models, correlated topological band insulators, interaction-driven phase transitions, topological Mott insulators and fractional topological states, correlation effects on helical edge states, and topological invariants of interacting systems.

33 pages, 20 figures; invited Topical Review (published version)

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• Dynamically generated edge states in topological Kondo insulators
• Self-organized topological insulator due to cavity-mediated correlated tunneling
• Distinct topological crystalline phases in models for the strongly correlated topological insulator SmB6
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• Correlation effects in pyrochlore iridate thin films grown along the $[111]$ direction
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• Topological Phase Transition in the Hofstadter-Hubbard Model
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• Topological Invariants and Ground-State Wave Functions of Topological Insulators on a Torus
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