4.4 Article

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

Journal

FORUM OF MATHEMATICS PI
Volume 9, Issue -, Pages -

Publisher

CAMBRIDGE UNIV PRESS
DOI: 10.1017/fmp.2021.17

Keywords

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Funding

  1. JSPS KAKENHI [16K05171, 19K03534]
  2. JST CREST [JPMJCR19T2]
  3. Grants-in-Aid for Scientific Research [19K03534, 16K05171] Funding Source: KAKEN

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This study explores symmetry-protected topological phases in two-dimensional quantum spin systems with specific symmetries, demonstrating the existence of a specific invariant for these phases.
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, T)-valued invariant.

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