Classification of symmetry protected topological phases in quantum spin chains
Classification of symmetry protected topological phases in quantum spin chains
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DOI：
10.4310/cdm.2020.v2020.n1.a2
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发表时间：
2021-10
期刊：
影响因子：
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通讯作者：
Y. Ogata
中科院分区：
文献类型：
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作者：
Y. Ogata
研究了量子自旋系统中对称保护拓扑(SPT)相的分类问题。SPT相是具有G对称性的短程有隙纠缠量子相。我们解释了在一维和二维量子自旋系统中，存在H(G，U(1))/H(G，U(1))值不变量，证实了物理学家的猜想。
We consider the classification problem of symmetry protected topological (SPT) phases on quantum spin systems. SPT phases are gapped short-range-entangled quantum phases with a symmetry G. We explain that in one and two-dimensional quantum spin systems, there are H(G,U(1))/ H(G,U(1))-valued invariant, confirming a physicists conjecture.