Frequency domain winding number and interaction effect on topological insulators

Abstract

We study the effect of interactions on the time reversal invariant topological insulators in four and three spatial dimensions. Their topological indices are expressed by the interacting Green's functions. Under the local self-energy approximation, we find that interaction could induce nontrivial frequency-domain winding numbers and change the topological classes of the system. Our results suggest that the topological phases could be destroyed without developing long range orders. Practical issues on the accurate frequency-momentum integration combined with DMFT and diagrammatic calculations of the interacting Green's functions are also addressed.

6 pages, 1 figure

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• Strongly Correlated Topological Superconductors and Topological Phase Transitions via Green's Function
• Detecting edge degeneracy in interacting topological insulators through entanglement entropy
• Topological phase transition in a generalized Kane-Mele-Hubbard model: A combined Quantum Monte Carlo and Green's function study
• Interaction-driven transition between topological states in a Kondo insulator
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• Topological Phase Transition in the Hofstadter-Hubbard Model
• Local marker for interacting topological insulators
• Correlation-driven phase transition in a Chern insulator
• Topological Green function of interacting systems
• Quantum geometry of correlated many-body states
• Thermodynamic and topological phase diagrams of correlated topological insulators