2022 Fiscal Year Final Research Report
Quest of novel phases due to collaboration between higher-order topology and quantum spin liquid
| Project/Area Number |
20K14371
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| Research Category |
Grant-in-Aid for Early-Career Scientists
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| Allocation Type | Multi-year Fund |
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| Review Section |
Basic Section 13010:Mathematical physics and fundamental theory of condensed matter physics-related
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| Research Institution | University of Tsukuba |
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Principal Investigator |
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| Project Period (FY) |
2020-04-01 – 2023-03-31
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| Keywords | トポロジカル相 / フラストレートスピン系 / 高次トポロジカル絶縁体 / 平方根トポロジカル絶縁体 |
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| Outline of Final Research Achievements |
This research project aims to explore variety of novel topological phases by combining different novel concepts, or combining them with quantum many-body systems and frustrated spin systems. The main results of this project are as follows: (i) We have proposed square-root higher-order topological insulators and semimetals. (ii) We have proposed a marker of the higher-order topological phase under the quench dynamics. (iii) We have obtained the phase diagram of the model with competing first- and second-order topological phases. (iv) We have proposed the exactly-solvable Kitaev-type model on a decorated honeycomb model and its extension. (v) We have investigated the role of two-particle-band topology in the fractional Chern insulators.
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| Free Research Field |
物性理論
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| Academic Significance and Societal Importance of the Research Achievements |
近年のトポロジカル物質相の研究の進展は著しい. その中で本課題において平方根高次トポロジカル絶縁体に代表される新奇な相や概念を発見したことは学術的に意義深く, 実際に本研究による理論的提案の後に複数の実験でその存在が確かめられるという波及効果があった. またトポロジカル物質相の諸概念が乱れに対し頑強な境界状態の発現機構として様々な物理系での応用可能性が指摘されており, 本研究もトポロジカル物質相の基礎研究の一環として将来的な応用可能性の探索に資するものと期待される.
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