Unified understanding of topological semimetals and quantum spin liquids based on spatial symmetries and electronic filling

2019 Fiscal Year Final Research Report

• Project/Area Number: 17K17678
• Research Category: Grant-in-Aid for Young Scientists (B)
• Allocation Type: Multi-year Fund
• Research Field: Mathematical physics/Fundamental condensed matter physics; Condensed matter physics II
• Research Institution: The University of Tokyo
• Principal Investigator: Watanabe Haruki 東京大学, 大学院工学系研究科(工学部), 准教授 (20785323)
• Project Period (FY): 2017-04-01 – 2020-03-31
• Keywords: トポロジカル物性

Outline of Final Research Achievements

The goal of this project was to develop a framework that helps us understand the topological property of materials based on their spatial symmetry and the electronic filling. We achieved this gaol by developing the theory of symmetry indicators for topological insulators, semimetals, and higher-order topological insulators. We also extended the theory to magnetic materials and superconductors. Furthermore, we theoretically proposed the possibility of "fragile" topology. We also did press-release four times to advertise these achievement.

Free Research Field

物性理論

Academic Significance and Societal Importance of the Research Achievements

結晶の持つ対称性や物質に含まれている電子数という容易に測定可能な情報に基づいて、その物質が持つトポロジカルな性質を部分的に制限する研究を行った。工学的応用が期待される各種トポロジカル物質（トポロジカル絶縁体、半金属、磁性物質、超伝導体）の物質候補探索への応用が期待できる。またこの方法論についても日本語の雑誌に解説記事を執筆したり、研究成果を積極的にプレスリリースするなどの広報活動も努めた。