Topological invariants for interacting topological insulators with inversion symmetry

2012/01/31 by Zhong Wang, Xiao-Liang Qi, Shou-Cheng Zhang · 1 citation
Materials Science · Mathematics · Physics and Astronomy · #Advanced Condensed Matter Physics #Combinatorics #Condensed matter physics #Geology #Geometry #Graphene research and applications #Inversion (geology) #Mathematics #Paleontology #Physics #Point reflection #Quantum #Quantum mechanics #Symmetry (geometry) #Symmetry protected topological order #Theoretical physics #Topological Materials and Phenomena #Topological insulator #Topological order #Topology (electrical circuits) #cond-mat.str-el

paper · pdf · doi:10.1103/physrevb.85.165126

published as Phys. Rev. B 85, 165126 (2012) · Fig.2 added. Published version

openalex publication_date 2012/04/17 · arxiv created 2012/04/18 · arxiv updated 2012/04/19 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

For interacting Z₂ topological insulators with inversion symmetry, we propose a simple topological invariant expressed in terms of the parity eigenvalues of the interacting Green's function at time-reversal invariant momenta and zero frequency. We derive this result from our previous formula involving the integral over the frequency-momenta space. This formula greatly simplifies the explicit calculation of Z₂ topological invariants in inversion-symmetric insulators with strong interactions.

Citations

• Topological field theory of time-reversal invariant insulators
• Z2classification of quantum spin Hall systems: An approach using time-reversal invariance
• Inversion-symmetric topological insulators
• Mott physics and band topology in materials with strong spin–orbit interaction
• Topological insulators and superconductors
• Topological Insulators with Inversion Symmetry
• Quantized Hall Conductance in a Two-Dimensional Periodic Potential
• Tuning phase transition between quantum spin Hall and ordinary insulating phases
• The birth of topological insulators
• Exciton Condensation and Charge Fractionalization in a Topological Insulator Film
• Topological Insulators

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