Simplified topological invariants for interacting insulators

Abstract

We propose general topological order parameters for interacting insulators in terms of the Green's function at zero frequency. They provide an unified description of various interacting topological insulators including the quantum anomalous Hall insulators and the time reversal invariant insulators in four, three and two dimensions. Since only Green's function at zero frequency is used, these topological order parameters can be evaluated efficiently by most numerical and analytical algorithms for strongly interacting systems.

Published version

References in corpus (27)

• Topological Insulators
• Topological insulators and superconductors
• $Z_2$ Topological Order and the Quantum Spin Hall Effect
• Topological Field Theory of Time-Reversal Invariant Insulators
• Topological invariants of time-reversal-invariant band structures
• Quantized Anomalous Hall Effect in Magnetic Topological Insulators
• The quantum spin Hall effect and topological insulators
• Mott physics and band topology in materials with strong spin-orbit interaction
• 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
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• Topological Kondo Insulators
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• Topological Mott Insulators
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• A Four Dimensional Generalization of the Quantum Hall Effect
• Dynamical Axion Field in Topological Magnetic Insulators
• Quantum spin Hall effect in a transition metal oxide Na2IrO3
• Single particle Green's functions and interacting topological insulators
• Exciton condensation and charge fractionalization in a topological insulator film
• Topological Order Parameters for Interacting Topological Insulators
• Topological insulators in three dimensions from spontaneous symmetry breaking
• Equivalent topological invariants of topological insulators
• Topological invariants for interacting topological insulators with inversion symmetry
• Unified Formalism for calculating Polarization, Magnetization, and more in a Periodic Insulator
• Topological Hubbard model and its high-temperature quantum Hall effect
• Frequency domain winding number and interaction effect on topological insulators

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