Simplified Topological Invariants for Interacting Insulators

By Zhong Wang, Shoucheng Zhang. 2012

176 citations recorded by the source corpus.

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.

Subfields: Atomic and Molecular Physics, and Optics

View Paper: https://www.semanticscholar.org/paper/e4972a72f2953b8bc7c12460e1904599b8a1eb7d

How researchers see this paper

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In Atomic and Molecular Physics, and Optics

1. Tanmoy Das
2. Hsin Lin
3. Arun Bansil
4. Zhong Wang
5. Zhongbo Yan
6. Ling Lu
7. Ren Bi
8. Huitao Shen

Citations in the corpus

• Nodal-link semimetals (2017, background): “[15] Zhong Wang and Shou-Cheng Zhang, “Simplified topological invariants for interacting insulators,” Phys.”
• Colloquium : Topological band theory (2016, methodology): “Gyorffy 1978) Using field theoretic methods Z2 can be evaluated in terms of just the zero frequency oneparticle Green’s function G(0,k) of the interacting system (Wang and Zhang 2012; Wang and Zhang 2013).”