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| ファイル | 記述 | サイズ | フォーマット | |
|---|---|---|---|---|
| ptep_ptad086.pdf | 3.35 MB | Adobe PDF | 見る/開く |
| タイトル: | Generalized homology and Atiyah–Hirzebruch spectral sequence in crystalline symmetry protected topological phenomena |
| 著者: | Shiozaki, Ken    https://orcid.org/0000-0003-1645-9935 (unconfirmed)Xiong, Charles Zhaoxi Gomi, Kiyonori |
| 著者名の別形: | 塩崎, 謙 |
| キーワード: | A13 Other topics in mathematical physics A63 Quantum many-body systems I47 Other topics I68 Other topics I96 Quantum Hall effect |
| 発行日: | Aug-2023 |
| 出版者: | Oxford University Press (OUP) The Physical Society of Japan |
| 誌名: | Progress of Theoretical and Experimental Physics |
| 巻: | 2023 |
| 号: | 8 |
| 論文番号: | 083I01 |
| 抄録: | We propose that symmetry protected topological (SPT) phases with crystalline symmetry are formulated by equivariant generalized homologies $h^G_n(X)$ over a real space manifold $X$ with $G$ a crystalline symmetry group. The Atiyah-Hirzebruch spectral sequence unifies various notions in crystalline SPT phases such as the layer construction, higher-order SPT phases and Lieb-Schultz-Mattis type theorems. Our formulation is applicable to interacting systems with onsite and crystalline symmetries as well as free fermions. |
| 著作権等: | © The Author(s) 2023. Published by Oxford University Press on behalf of the Physical Society of Japan. This is an Open Access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted reuse, distribution, and reproduction in any medium, provided the original work is properly cited. |
| URI: | http://hdl.handle.net/2433/286424 |
| DOI(出版社版): | 10.1093/ptep/ptad086 |
| 出現コレクション: | 学術雑誌掲載論文等 |
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