Theoretical study of symmetry-protected topological phases

• Project/Area Number: 15K05141
• Research Category: Grant-in-Aid for Scientific Research (C)
• Allocation Type: Multi-year Fund
• Section: 一般
• Research Field: Condensed matter physics I
• Research Institution: Institute of Physical and Chemical Research
• Principal Investigator: Furusaki Akira 国立研究開発法人理化学研究所, 開拓研究本部, 主任研究員 (10238678)
• Project Period (FY): 2015-04-01 – 2020-03-31
• Project Status: Completed (Fiscal Year 2019)
• Budget Amount: ¥4,680,000 (Direct Cost: ¥3,600,000、Indirect Cost: ¥1,080,000); Fiscal Year 2018: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000); Fiscal Year 2017: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000); Fiscal Year 2016: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000); Fiscal Year 2015: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
• Keywords: トポロジカル絶縁体 / トポロジカル超伝導体 / 電子間相互作用 / 量子相転移 / トポロジカル半金属 / 空間群対称性 / トポロジカル秩序 / coupled wire approach / 共形場理論 / ボゾン化 / XYZ模型 / トポロジカル量子相 / 分数量子ホール系 / ディラック・フェルミオン / トポロジカル結晶絶縁体 / ディラック点 / ワイル点 / ラインノード / マヨラナ粒子 / 相転移 / 非共型空間群 / ディラック半金属 / 対称性

Outline of Final Research Achievements

The effect of interactions on the classification of topological insulators and superconductors was theoretically studied, and it was clarified how the free-fermion classification should be modified. Competing phases and quantum phase transitions in strongly correlated electron systems were studied for simple models through the mapping to massless Dirac fermions interacting with bosonic fields. In addition, topological semimetals having band degeneracies protected by crystalline symmetries were studied.

Academic Significance and Societal Importance of the Research Achievements

トポロジカル絶縁体・超伝導体の分類に対する電子間相互作用の影響を明らかにすることは、対称性によって守られたトポロジカル相の一般論構築への一つの足掛かりを与えるまた、トポロジカル半金属に関する研究は、空間群対称性で守られたバンド縮退を（いくつかの空間群について）一般的に論じており、トポロジカル物質探索に指針を与える。これらのトポロジカル絶縁体・超伝導体・半金属は、特異な電磁応答をもつデバイスにつながる可能性がある。

Research Products

• [Int'l Joint Research] ポールシェラー研究所(スイス)
• [Int'l Joint Research] バージニア大学/カリフォルニア大学(米国)
• [Int'l Joint Research] ポールシェラー研究所(スイス)
• [Int'l Joint Research] バージニア大学/カリフォルニア大学(米国)
• [Int'l Joint Research] ポールシェラー研究所(スイス)
• [Int'l Joint Research] ソウル国立大学(韓国)
• [Int'l Joint Research] カリフォルニア大学(米国)
• [Journal Article] Quantum phase transitions beyond Landau-Ginzburg theory in one-dimensional space revisited (2019)
  • Author(s): Mudry Christopher、Furusaki Akira、Morimoto Takahiro、Hikihara Toshiya
  • Journal Title: Physical Review B Volume: 99 Issue: 20 Pages: 205153-205153
  • DOI: 10.1103/physrevb.99.205153
  • Peer Reviewed / Int'l Joint Research
• [Journal Article] From coupled wires to coupled layers: Model with three-dimensional fractional excitations (2019)
  • Author(s): Fuji Yohei、Furusaki Akira
  • Journal Title: Physical Review B Volume: 99 Issue: 24
  • DOI: 10.1103/physrevb.99.241107
  • Peer Reviewed
• [Journal Article] Quantum Hall hierarchy from coupled wires (2019)
  • Author(s): Fuji Yohei、Furusaki Akira
  • Journal Title: Physical Review B Volume: 99 Issue: 3
  • DOI: 10.1103/physrevb.99.035130
  • Peer Reviewed / Open Access
• [Journal Article] Majorana stripe order on the surface of a three-dimensional topological insulator (2018)
  • Author(s): Kamiya Y.、Furusaki A.、Teo J. C. Y.、Chern G.-W.
  • Journal Title: Physical Review B Volume: 98 Issue: 16
  • DOI: 10.1103/physrevb.98.161409
  • Peer Reviewed / Open Access / Int'l Joint Research
• [Journal Article] Weyl points and Dirac lines protected by multiple screw rotations (2017)
  • Author(s): Furusaki Akira
  • Journal Title: Science Bulletin Volume: 62 Issue: 11 Pages: 788-794
  • DOI: 10.1016/j.scib.2017.05.014
  • Peer Reviewed / Open Access
• [Journal Article] Topological semimetals protected by off-centered symmetries in nonsymmorphic crystals (2017)
  • Author(s): Bohm-Jung Yang, Troels Arnfred Bojesen, Takahiro Morimoto, and Akira Furusaki
  • Journal Title: Physical Review B Volume: 95 Issue: 7 Pages: 075135-075135
  • DOI: 10.1103/physrevb.95.075135
  • Peer Reviewed / Int'l Joint Research / Acknowledgement Compliant
• [Journal Article] Topological magnetoelectric effects in thin films of topological insulators (2015)
  • Author(s): Takahiro Morimoto, Akira Furusaki, and Naoto Nagaosa
  • Journal Title: Physical Review B Volume: 92 Issue: 8 Pages: 085113-085113
  • DOI: 10.1103/physrevb.92.085113
  • Peer Reviewed / Acknowledgement Compliant
• [Journal Article] Correlation effects on topological crystalline insulators (2015)
  • Author(s): Tsuneya Yoshida and Akira Furusaki
  • Journal Title: Physical Review B Volume: 92 Issue: 8 Pages: 085114-085114
  • DOI: 10.1103/physrevb.92.085114
  • Peer Reviewed / Acknowledgement Compliant
• [Journal Article] Breakdown of the topological classification Z for gapped phases of noninteracting fermions by quartic interactions (2015)
  • Author(s): Takahiro Morimoto, Akira Furusaki, and Christopher Mudry
  • Journal Title: Physical Review B Volume: 92 Issue: 12 Pages: 125104-125104
  • DOI: 10.1103/physrevb.92.125104
  • Peer Reviewed / Int'l Joint Research / Acknowledgement Compliant
• [Journal Article] Topological charges of three-dimensional Dirac semimetals with rotation symmetry (2015)
  • Author(s): Bohm-Jung Yang, Takahiro Morimoto, and Akira Furusaki
  • Journal Title: Physical Review B Volume: 92 Issue: 16 Pages: 165120-165120
  • DOI: 10.1103/physrevb.92.165120
  • Peer Reviewed / Int'l Joint Research / Acknowledgement Compliant
• [Journal Article] Bosonic symmetry-protected topological phases with reflection symmetry (2015)
  • Author(s): Tsuneya Yoshida, Takahiro Morimoto, and Akira Furusaki
  • Journal Title: Physical Review B Volume: 92 Issue: 24 Pages: 245122-245122
  • DOI: 10.1103/physrevb.92.245122
  • Peer Reviewed / Acknowledgement Compliant
• [Presentation] Quantum phase transitions beyond Landau-Ginzburg theory in one dimension revisited (2019)
  • Author(s): Akira Furusaki
  • Organizer: IBSPCS-KIAS International Workshop Frustrated Magnetism
  • Int'l Joint Research / Invited
• [Presentation] spin-1/2 J1-J2 XYZ鎖における非GL的量子臨界相転移 (2019)
  • Author(s): 引原俊哉、Christopher Mudry, 古崎昭、森本高裕
  • Organizer: 日本物理学会秋季大会
• [Presentation] 3次元的な分数励起を持つ量子細線の模型 (2019)
  • Author(s): 藤陽平、古崎昭
  • Organizer: 日本物理学会第74回年次大会
• [Presentation] Fractional charge bound to a vortex in two-dimensional topological crystalline insulators (2019)
  • Author(s): Akira Furusaki
  • Organizer: Euler Symposium on Theoretical and Mathematical Physics
  • Int'l Joint Research / Invited
• [Presentation] Quantum Hall hierarchy from coupled wires (2018)
  • Author(s): Akira Furusaki
  • Organizer: Symposium on Quantum Matter
  • Int'l Joint Research / Invited
• [Presentation] Quantum Hall hierarchy from coupled wires (2018)
  • Author(s): Akira Furusaki
  • Organizer: International Workshop on New Paradigms in Quantum Matter
  • Int'l Joint Research / Invited
• [Presentation] Quantum Hall hierarchy from coupled wires (2018)
  • Author(s): Akira Furusaki
  • Organizer: Perspectives in Topological Phases: From Condensed Matter to High-Energy Physics
  • Int'l Joint Research / Invited
• [Presentation] Reduction of the classification of free-fermion topological phases by interactions (2018)
  • Author(s): Akira Furusaki
  • Organizer: Workshop on Recent Developments in Chiral Matter and Topology
  • Int'l Joint Research / Invited
• [Presentation] 量子細線から作る分数量子Hall状態の階層構造I (2018)
  • Author(s): 藤陽平、古崎昭
  • Organizer: 日本物理学会2018年秋季大会
• [Presentation] 量子細線から作る分数量子Hall状態の階層構造II：複合Fermi液体とPfaffian状態 (2018)
  • Author(s): 藤陽平、古崎昭
  • Organizer: 日本物理学会2018年秋季大会
• [Presentation] Effects of interactions on the free-fermion topological classification (2018)
  • Author(s): Akira Furusaki
  • Organizer: Variety and universality of bulk-edge correspondence in topological phases
  • Int'l Joint Research / Invited
• [Presentation] Majorana Stripe Order at the Surface of a 3D topological Insulator (2018)
  • Author(s): Yoshitomo Kamiya, Akira Furusaki, Jeffrey Teo, Gia-Wwi Chern
  • Organizer: APS March Meeting 2018
  • Int'l Joint Research
• [Presentation] Breakdown of free-fermion classification of topological insulators and superconductors (2017)
  • Author(s): Akira Furusaki
  • Organizer: KITS workshop on "Topological States and Phase Transitions in Strongly Correlated Systems"
  • Int'l Joint Research / Invited
• [Presentation] トポロジカル絶縁体表面上の正方格子マヨラナ・フェルミオン系と量子コンパスモデル (2017)
  • Author(s): 紙屋佳知, Gia-Wei Chern, Jeffrey Teo, 古崎昭
  • Organizer: 日本物理学会2017年秋季大会
• [Presentation] Reduction of the classification of topological insulators and superconductors by quartic interactions (2016)
  • Author(s): Akira Furusaki
  • Organizer: ICTP Conference on Interactions and Topology in Dirac Systems
  • Place of Presentation: Trieste (Italy)
  • Year and Date: 2016-08-03
  • Int'l Joint Research / Invited
• [Presentation] Reduction of the classification of topological insulators and superconductors by quartic interactions (2016)
  • Author(s): Akira Furusaki
  • Organizer: Trends in Theory of Correlated Materials 2016
  • Place of Presentation: Villigen (Switzerland)
  • Year and Date: 2016-05-25
  • Int'l Joint Research / Invited
• [Presentation] Topological charge of Dirac semimetals with rotation symmetry (2015)
  • Author(s): Akira Furusaki
  • Organizer: Physics of bulk-edge correspondence & its universality workshop 2015
  • Place of Presentation: 筑波大学東京キャンパス（文京区）
  • Year and Date: 2015-09-27
  • Int'l Joint Research / Invited
• [Presentation] トポロジカル結晶絶縁体における相関効果 (2015)
  • Author(s): 吉田恒也、古崎昭
  • Organizer: 日本物理学会2015年秋季大会
  • Place of Presentation: 関西大学
  • Year and Date: 2015-09-17