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

Research Project

Project/Area Number 17K17678
Research Category

Grant-in-Aid for Young Scientists (B)

Allocation TypeMulti-year Fund
Research Field Mathematical physics/Fundamental condensed matter physics
Condensed matter physics II
Research InstitutionThe 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
Project Status Completed (Fiscal Year 2019)
Budget Amount *help
¥4,160,000 (Direct Cost: ¥3,200,000、Indirect Cost: ¥960,000)
Fiscal Year 2019: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
Fiscal Year 2018: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
Fiscal Year 2017: ¥1,560,000 (Direct Cost: ¥1,200,000、Indirect Cost: ¥360,000)
Keywordsトポロジカル物性 / 物性理論 / 物性基礎論 / トポロジカル相 / トポロジカル絶縁体 / 量子多体系
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.

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。

Report

(4 results)
  • 2019 Annual Research Report   Final Research Report ( PDF )
  • 2018 Research-status Report
  • 2017 Research-status Report
  • Research Products

    (42 results)

All 2020 2019 2018 2017 Other

All Int'l Joint Research (3 results) Journal Article (18 results) (of which Int'l Joint Research: 7 results,  Peer Reviewed: 18 results,  Open Access: 5 results) Presentation (21 results) (of which Int'l Joint Research: 12 results,  Invited: 12 results)

  • [Int'l Joint Research] MIT(米国)

    • Related Report
      2019 Annual Research Report
  • [Int'l Joint Research] ハーバード大学/カリフォルニア大学サンタバーバラ校(米国)

    • Related Report
      2017 Research-status Report
  • [Int'l Joint Research] 中国科学院物理学研究所(中国)

    • Related Report
      2017 Research-status Report
  • [Journal Article] Proof of the Absence of Long-Range Temporal Orders in Gibbs States2020

    • Author(s)
      Watanabe Haruki、Oshikawa Masaki、Koma Tohru
    • Journal Title

      Journal of Statistical Physics

      Volume: 178 Issue: 4 Pages: 926-935

    • DOI

      10.1007/s10955-019-02471-5

    • Related Report
      2019 Annual Research Report
    • Peer Reviewed / Open Access
  • [Journal Article] Refined symmetry indicators for topological superconductors in all space groups2020

    • Author(s)
      Seishiro Ono, Hoi Chun Po, Haruki Watanabe
    • Journal Title

      Science Advances (in press)

      Volume: 00 Pages: 00-00

    • Related Report
      2019 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Geometric orbital magnetization in adiabatic processes2019

    • Author(s)
      Trifunovic Luka、Ono Seishiro、Watanabe Haruki
    • Journal Title

      Physical Review B

      Volume: 100 Issue: 5 Pages: 054408-054408

    • DOI

      10.1103/physrevb.100.054408

    • Related Report
      2019 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Difficulties in operator-based formulation of the bulk quadrupole moment2019

    • Author(s)
      Ono Seishiro、Trifunovic Luka、Watanabe Haruki
    • Journal Title

      Physical Review B

      Volume: 100 Issue: 24 Pages: 245133-245133

    • DOI

      10.1103/physrevb.100.245133

    • Related Report
      2019 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Symmetry indicators for topological superconductors2019

    • Author(s)
      Ono Seishiro、Yanase Youichi、Watanabe Haruki
    • Journal Title

      Physical Review Research

      Volume: 1 Issue: 1 Pages: 013012-013012

    • DOI

      10.1103/physrevresearch.1.013012

    • NAID

      130008146223

    • Related Report
      2019 Annual Research Report
    • Peer Reviewed / Open Access
  • [Journal Article] Many-Body Chern Number without Integration2019

    • Author(s)
      Koji Kudo, Haruki Watanabe, Toshikaze Kariyado, and Yasuhiro Hatsugai
    • Journal Title

      Phys. Rev. Lett.

      Volume: 122 Issue: 14 Pages: 146601-146601

    • DOI

      10.1103/physrevlett.122.146601

    • Related Report
      2019 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Fragile topological phases in interacting systems2019

    • Author(s)
      Else Dominic V.、Po Hoi Chun、Watanabe Haruki
    • Journal Title

      Physical Review B

      Volume: 99 Issue: 12 Pages: 125122-125122

    • DOI

      10.1103/physrevb.99.125122

    • Related Report
      2018 Research-status Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] Inequivalent Berry Phases for the Bulk Polarization2018

    • Author(s)
      Watanabe Haruki、Oshikawa Masaki
    • Journal Title

      Physical Review X

      Volume: 8 Issue: 2 Pages: 021065-021065

    • DOI

      10.1103/physrevx.8.021065

    • NAID

      130007736149

    • Related Report
      2018 Research-status Report
    • Peer Reviewed / Open Access
  • [Journal Article] Symmetry Indicators and Anomalous Surface States of Topological Crystalline Insulators2018

    • Author(s)
      Khalaf Eslam、Po Hoi Chun、Vishwanath Ashvin、Watanabe Haruki
    • Journal Title

      Physical Review X

      Volume: 8 Issue: 3 Pages: 031070-031070

    • DOI

      10.1103/physrevx.8.031070

    • Related Report
      2018 Research-status Report
    • Peer Reviewed / Open Access / Int'l Joint Research
  • [Journal Article] Fragile Topology and Wannier Obstructions2018

    • Author(s)
      Po Hoi Chun、Watanabe Haruki、Vishwanath Ashvin
    • Journal Title

      Physical Review Letters

      Volume: 121 Issue: 12 Pages: 126402-126402

    • DOI

      10.1103/physrevlett.121.126402

    • Related Report
      2018 Research-status Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] Structure and topology of band structures in the 1651 magnetic space groups2018

    • Author(s)
      Watanabe Haruki、Po Hoi Chun、Vishwanath Ashvin
    • Journal Title

      Science Advances

      Volume: 4 Issue: 8

    • DOI

      10.1126/sciadv.aat8685

    • Related Report
      2018 Research-status Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] Connecting higher-order topological insulators to lower-dimensional topological insulators2018

    • Author(s)
      Matsugatani Akishi、Watanabe Haruki
    • Journal Title

      Physical Review B

      Volume: 98 Issue: 20 Pages: 205129-205129

    • DOI

      10.1103/physrevb.98.205129

    • NAID

      130007737157

    • Related Report
      2018 Research-status Report
    • Peer Reviewed
  • [Journal Article] Space Group Theory of Photonic Bands2018

    • Author(s)
      Watanabe Haruki、Lu Ling
    • Journal Title

      Physical Review Letters

      Volume: 121 Issue: 26 Pages: 263903-263903

    • DOI

      10.1103/physrevlett.121.263903

    • Related Report
      2018 Research-status Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] Unified understanding of symmetry indicators for all internal symmetry classes2018

    • Author(s)
      Ono Seishiro、Watanabe Haruki
    • Journal Title

      Physical Review B

      Volume: 98 Issue: 11 Pages: 115150-115150

    • DOI

      10.1103/physrevb.98.115150

    • Related Report
      2018 Research-status Report
    • Peer Reviewed
  • [Journal Article] Universal Relation among the Many-Body Chern Number, Rotation Symmetry, and Filling2018

    • Author(s)
      Akishi Matsugatani, Yuri Ishiguro, Ken Shiozaki, and Haruki Watanabe
    • Journal Title

      Physical Review Letters

      Volume: 120 Issue: 9

    • DOI

      10.1103/physrevlett.120.096601

    • Related Report
      2017 Research-status Report
    • Peer Reviewed
  • [Journal Article] The Lieb-Schultz-Mattis-type filling constraints in the 1651 Magnetic Space Groups2018

    • Author(s)
      Haruki Watanabe
    • Journal Title

      Physical Review B

      Volume: 印刷中

    • Related Report
      2017 Research-status Report
    • Peer Reviewed
  • [Journal Article] Symmetry-based indicators of band topology in the 230 space groups2017

    • Author(s)
      Po Hoi Chun、Vishwanath Ashvin、Watanabe Haruki
    • Journal Title

      Nature Communications

      Volume: 8 Issue: 1 Pages: 1-9

    • DOI

      10.1038/s41467-017-00133-2

    • Related Report
      2017 Research-status Report
    • Peer Reviewed / Open Access / Int'l Joint Research
  • [Journal Article] Lattice Homotopy Constraints on Phases of Quantum Magnets2017

    • Author(s)
      Hoi Chun Po, Haruki Watanabe, Chao-Ming Jian, and Michael P. Zaletel
    • Journal Title

      Physical Review Letters

      Volume: 119 Issue: 12

    • DOI

      10.1103/physrevlett.119.127202

    • NAID

      130007508711

    • Related Report
      2017 Research-status Report
    • Peer Reviewed / Int'l Joint Research
  • [Presentation] Symmetry indicators for topological superconductors.2019

    • Author(s)
      渡邉悠樹
    • Organizer
      Novel Phases of Quantum Matter
    • Related Report
      2019 Annual Research Report
  • [Presentation] Symmetry indicators for topological superconductors.2019

    • Author(s)
      渡邉悠樹
    • Organizer
      The Future of Topological Materials
    • Related Report
      2019 Annual Research Report
  • [Presentation] Symmetry indicators for topological superconductors.2019

    • Author(s)
      渡邉悠樹
    • Organizer
      SPICE workshop: Young Research Leaders Group Workshop
    • Related Report
      2019 Annual Research Report
  • [Presentation] Symmetry indicators for topological superconductors.2019

    • Author(s)
      渡邉悠樹
    • Organizer
      The 2nd Workshop on Spin-orbit Coupled Topological States
    • Related Report
      2019 Annual Research Report
  • [Presentation] Symmetry indicators of band topology I,II,III.2019

    • Author(s)
      Haruki Watanabe
    • Organizer
      Theoretical studies of topological phases of matter
    • Related Report
      2018 Research-status Report
    • Int'l Joint Research / Invited
  • [Presentation] Symmetry-Based Indicator and Fragile Topology with/without Interactions2018

    • Author(s)
      Haruki Watanabe
    • Organizer
      Workshop on Recent Developments in Chiral Matter and Topology
    • Related Report
      2018 Research-status Report
    • Int'l Joint Research / Invited
  • [Presentation] Symmetry-Based Indicator and Fragile Topology with/without Interactions2018

    • Author(s)
      Haruki Watanabe
    • Organizer
      Topological Phases and Excitations of Quantum Matter
    • Related Report
      2018 Research-status Report
    • Int'l Joint Research / Invited
  • [Presentation] Symmetry-based Indicators for higher-order topological insulators2018

    • Author(s)
      Haruki Watanabe
    • Organizer
      Topological Phases with Higher-Order Boundary States
    • Related Report
      2018 Research-status Report
    • Int'l Joint Research / Invited
  • [Presentation] Many-body polarization and Thouless pump via twisted boundary condition2018

    • Author(s)
      Haruki Watanabe
    • Organizer
      Topological Phases of Matter: from the Quantum Hall Effect to Spin Liquids
    • Related Report
      2018 Research-status Report
    • Int'l Joint Research / Invited
  • [Presentation] Symmetry-based Indicators of Topology2018

    • Author(s)
      Haruki Watanabe
    • Organizer
      New Paradigms in Quantum Matter 2018
    • Related Report
      2018 Research-status Report
    • Int'l Joint Research / Invited
  • [Presentation] Symmetry-based Indicators of Topology2018

    • Author(s)
      Haruki Watanabe
    • Organizer
      Topology and Correlation
    • Related Report
      2018 Research-status Report
    • Int'l Joint Research / Invited
  • [Presentation] 空間の対称性とフィリングに基づくトポロジカルに非自明な絶縁体の研究2018

    • Author(s)
      渡邉悠樹
    • Organizer
      統計物理学懇談会
    • Related Report
      2017 Research-status Report
    • Invited
  • [Presentation] 3次元トポロジカル結晶絶縁体表面の1次元エッジ状態の分類2018

    • Author(s)
      渡邉悠樹
    • Organizer
      日本物理学会春季大会
    • Related Report
      2017 Research-status Report
  • [Presentation] Symmetry-Based Indicators of Band Topology II: Applications2018

    • Author(s)
      渡邉悠樹
    • Organizer
      APS march meeting
    • Related Report
      2017 Research-status Report
    • Int'l Joint Research
  • [Presentation] Complete Theory of Symmetry-based Indicators of Band Topology2018

    • Author(s)
      渡邉悠樹
    • Organizer
      BEC2018 (Variety and universality of bulk-edge correspondence in topological phases: From solid state physics to transdisciplinary concepts)
    • Related Report
      2017 Research-status Report
    • Int'l Joint Research
  • [Presentation] Complete Theory of Symmetry-based Indicators of Band Topology2017

    • Author(s)
      渡邉悠樹
    • Organizer
      強相関電子系理論の最前線
    • Related Report
      2017 Research-status Report
    • Invited
  • [Presentation] Complete Theory of Symmetry-based Indicators of Band Topology2017

    • Author(s)
      渡邉悠樹
    • Organizer
      Novel quantum states in condensed matter 2017
    • Related Report
      2017 Research-status Report
    • Int'l Joint Research / Invited
  • [Presentation] Complete Theory of Symmetry-based Indicators of Band Topology2017

    • Author(s)
      渡邉悠樹
    • Organizer
      Topological States and Phase Transitions in Strongly Correlated Systems
    • Related Report
      2017 Research-status Report
    • Int'l Joint Research / Invited
  • [Presentation] Complete Theory of Symmetry-based Indicators of Band Topology2017

    • Author(s)
      渡邉悠樹
    • Organizer
      SPICE workshop: Spin Dynamics in the Dirac Systems
    • Related Report
      2017 Research-status Report
    • Int'l Joint Research / Invited
  • [Presentation] 空間群に基づいたスピン模型の分類と許される基底状態についての制限2017

    • Author(s)
      渡邉悠樹
    • Organizer
      日本物理学会秋季大会
    • Related Report
      2017 Research-status Report
  • [Presentation] 空間群の表現に基づいた非自明なバンドトポロジーの分類2017

    • Author(s)
      渡邉悠樹
    • Organizer
      日本物理学会秋季大会
    • Related Report
      2017 Research-status Report

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Published: 2017-04-28   Modified: 2022-02-21  

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