2016 Fiscal Year Final Research Report
Variety and universality of bulk-edge correspondence in topological phases: From solid state physics to cold atoms
| Project/Area Number |
26247064
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| Research Category |
Grant-in-Aid for Scientific Research (A)
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| Allocation Type | Single-year Grants |
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| Section | 一般 |
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| Research Field |
Mathematical physics/Fundamental condensed matter physics
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| Research Institution | University of Tsukuba |
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Principal Investigator |
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| Co-Investigator(Kenkyū-buntansha) |
高橋 義朗 京都大学, 理学研究科, 教授 (40226907)
木村 昭夫 広島大学, 理学研究科, 教授 (00272534)
青木 秀夫 東京大学, 理学系研究科, 教授 (50114351)
福井 隆裕 茨城大学, 理学部, 教授 (10322009)
河原林 透 東邦大学, 理学部, 教授 (90251488)
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| Co-Investigator(Renkei-kenkyūsha) |
OKA TAKASHI 東京大学, 大学院工学系研究科, 講師 (50421847)
IMURA KENICHIROU 広島大学, 先端物質科学研究科, 助教 (90391870)
KARIYADO TOSHIKAZE 国立研究開発法人物質材料研究機構, 国際ナノアーキテクトニクス研究拠点, 研究員 (60711281)
MARUYAMA ISAO 福岡工業大学, 情報工学部, 准教授 (20422339)
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| Project Period (FY) |
2014-04-01 – 2017-03-31
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| Keywords | バルク・エッジ対応 / トポロジカル相 / 冷却原子 / 放射光ARPES実験 / エッジ状態 / トポロジカルポンプ / トポロジカル絶縁体 |
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| Outline of Final Research Achievements |
Absence of characteristic symmetry breaking is a fundamental aspect of the topological phase. It is mostly gapped and does not response to an infinitesimal perturbation. However, if the system is with boundaries, there exist unique localized edge states, which reflect non-trivial topology of the bulk. This relation is the bulk-edge correspondence. In this project, two experimental groups (cold atom group realizing ultimate quantum systems and the ARPES group observing surface states of topological insulators and related) are working together with theoretical group sharing a common interest in the bulk-edge correspondence.
Some of the achievements of the project are as follows. We clarified the role of edge states in topological pumping, which has been never realized for the 30 years and first done by our cold atom group. Also motivated by the studies of magnetic topological insulators by ARPES group, a new topological number as an entanglement Chern number is theoretically proposed.
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| Free Research Field |
物性理論（トポロジカル相の理論）
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