A H³(G,\mathbb T)-valued index of symmetry protected topological phases with on-site finite group symmetry for two-dimensional quantum spin systems

2021/01/02 by Ogata, Yoshiko · 4 citations
#FOS: Physical sciences #Mathematical Physics (math-ph) #Quantum Physics (quant-ph) #Statistical Mechanics (cond-mat.stat-mech)

paper · doi:10.48550/arxiv.2101.00426

Abstract

We consider SPT-phases with on-site finite group G symmetry β for two-dimensional quantum spin systems. We show that they have H³(G,\mathbb T)-valued invariant.

Cited by

• The Lieb-Robinson condition and the Fréchet topology
• On Symmetry-Compatible Superselection Structures for Product States in 2D Quantum Spin Systems
• LSM and CPT
• Reflection positivity and a refined index for 2d invertible phases

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