Simplified Topological Invariants for Interacting Insulators

We propose general topological order parameters for interacting insulators in terms of the Green’s function at zero frequency. They provide a unified description of various interacting topological insulators including the quantum anomalous Hall insulators and the time-reversal-invariant insulators i...

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Bibliographic Details
Main Authors: Zhong Wang, Shou-Cheng Zhang
Format: Article
Language:English
Published: American Physical Society 2012-08-01
Series:Physical Review X
Online Access:http://doi.org/10.1103/PhysRevX.2.031008
Description
Summary:We propose general topological order parameters for interacting insulators in terms of the Green’s function at zero frequency. They provide a 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 the 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.
ISSN:2160-3308