An $H^{3}(G,{\mathbb T})$-valued index of symmetry-protected topological phases with on-site finite group symmetry for two-dimensional quantum spin systems

IF 2.8 1区数学 Q1 MATHEMATICS

Forum of Mathematics Pi Pub Date : 2021-01-02 DOI:10.1017/fmp.2021.17

Y. Ogata

引用次数: 14

Abstract

Abstract We consider symmetry-protected topological phases with on-site finite group G symmetry $\beta $ for two-dimensional quantum spin systems. We show that they have $H^{3}(G,{\mathbb T})$-valued invariant.

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二维量子自旋系统的H^{3}(G，{\mathbb T})$值指标

摘要我们考虑了二维量子自旋系统的具有局部有限群G对称性$\beta$的对称保护拓扑相。我们证明了它们具有$H^｛3｝（G，｛\mathbb T｝）$值不变量。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Forum of Mathematics Pi Mathematics-Statistics and Probability

CiteScore

3.50

自引率

0.00%

发文量

审稿时长

19 weeks

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