Theoretical study on nonequilibrium property of vortices hosted a Majorana fermion

• Project/Area Number: 15K17715
• Research Category: Grant-in-Aid for Young Scientists (B)
• Allocation Type: Multi-year Fund
• Research Field: Condensed matter physics II
• Research Institution: Institute of Physical and Chemical Research (2018-2019); The University of Tokyo (2015-2017)
• Principal Investigator: Tsutsumi Yasumasa 国立研究開発法人理化学研究所, 創発物性科学研究センター, 研究員 (10631781)
• Project Period (FY): 2015-04-01 – 2020-03-31
• Project Status: Completed (Fiscal Year 2019)
• Budget Amount: ¥4,160,000 (Direct Cost: ¥3,200,000、Indirect Cost: ¥960,000); Fiscal Year 2018: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000); Fiscal Year 2017: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000); Fiscal Year 2016: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000); Fiscal Year 2015: ¥1,560,000 (Direct Cost: ¥1,200,000、Indirect Cost: ¥360,000)
• Keywords: 不純物効果 / 交流応答 / トポロジカル超伝導 / Keldyshグリーン関数 / 磁束渦糸 / カイラル超伝導 / トポロジカル超伝導体 / 磁束フロー抵抗 / 物性理論

Outline of Final Research Achievements

Impurity effect for Majorana fermions hosted by vortices in topological superconductors has been clarified. The flux-flow resistivity is influenced by the impurity effect given by the coherence factor of the Majorana fermions. Non-equilibrium properties of the Majorana fermions under ac electric field has also been clarified by using a developed program to calculate Green's functions in the Keldysh formalism.

Academic Significance and Societal Importance of the Research Achievements

本研究の成果により、マヨラナフェルミオンの干渉に関する性質を決めるコヒーレンス因子が動的性質に重要な寄与をすることが明らかになった。干渉効果は量子力学的な性質であり、マヨラナフェルミオンでは生成と消滅の演算子が等しいという際立った特徴を直接観測する道を拓く。コヒーレンス因子は、中性子非弾性散乱や準粒子干渉を利用すれば観測できると期待される。

Research Products

• [Int'l Joint Research] Max Planck Institute(ドイツ)
• [Int'l Joint Research] マックスプランク研究所(ドイツ)
• [Int'l Joint Research] ザルツブルク大学(オーストリア)
• [Journal Article] Theoretical studies for identifying horizontal line nodes via angle-resolved density-of-states measurements: Application to Sr2RuO4 (2019)
  • Author(s): Kazushige Machida, Koki Irie, Katsuhiro Suzuki, Hiroaki Ikeda, and Yasumasa Tsutsumi
  • Journal Title: Pays. Rev. B Volume: 99 Issue: 6 Pages: 0645101-14
  • DOI: 10.1103/physrevb.99.064510
  • Peer Reviewed
• [Journal Article] Searching for gap zeros in Sr2RuO4 via field-angle-dependent specific-heat measurement (2018)
  • Author(s): Shunichiro Kittaka, Shota Nakamura, Toshiro Sakakibara, Naoki Kikugawa, Taichi Terashima, Shinya Uji, Dmitry A. Sokolov, Andrew P. Mackenzie, Koki Irie, Yasumasa Tsutsumi, Katsuhiro Suzuki, and Kazushige Machida
  • Journal Title: J. Phys. Soc. Jpn. Volume: 87 Issue: 9 Pages: 0937031-5
  • DOI: 10.7566/jpsj.87.093703
  • NAID: 210000134938
  • Peer Reviewed / Open Access / Int'l Joint Research
• [Journal Article] Coherence Effects of Caroli-de Gennes-Matricon Modes in a Nodal Topological Superconductor UPt3 (2017)
  • Author(s): Tsutsumi Yasumasa、Kato Yusuke
  • Journal Title: Journal of Physics: Conference Series Volume: 807 Pages: 052005-052005
  • DOI: 10.1088/1742-6596/807/5/052005
  • Peer Reviewed
• [Journal Article] Nodal gap structure of the heavy-fermion superconductor URu2Si2revealed by field-angle-dependent specific-heat measurements (2017)
  • Author(s): Kittaka Shunichiro、Shimizu Yusei、Sakakibara Toshiro、Haga Yoshinori、Yamamoto Etsuji、Onuki Yoshichika、Tsutsumi Yasumasa、Nomoto Takuya、Ikeda Hiroaki、Machida Kazushige
  • Journal Title: Journal of Physics: Conference Series Volume: 807 Pages: 052001-052001
  • DOI: 10.1088/1742-6596/807/5/052001
  • Peer Reviewed
• [Journal Article] 超流動3Heにおけるイオンの輸送現象と相対論的準粒子 (2017)
  • Author(s): 池上弘樹、堤康雅、河野公俊
  • Journal Title: 固体物理 Volume: 52 Pages: 771-781
  • Peer Reviewed
• [Journal Article] Scattering Theory on Surface Majorana Fermions by an Impurity in 3He-B (2017)
  • Author(s): Y. Tsutsumi
  • Journal Title: Physical Review Letters Volume: 118 Issue: 14
  • DOI: 10.1103/physrevlett.118.145301
  • Peer Reviewed / Acknowledgement Compliant
• [Journal Article] Omnidirectional Measurements of Angle-Resolved Heat Capacity for Complete Detection of Superconducting Gap Structure in the Heavy-Fermion Antiferromagnet UPd2Al3 (2016)
  • Author(s): Y. Shimizu, S. Kittaka, T. Sakakibara, Y. Tsutsumi, T. Nomoto, H. Ikeda, K. Machida, Y. Homma, and D. Aoki
  • Journal Title: Phys. Rev. Lett. Volume: 117 Issue: 3 Pages: 0370011-5
  • DOI: 10.1103/physrevlett.117.037001
  • Peer Reviewed / Int'l Joint Research / Acknowledgement Compliant
• [Journal Article] Thermodynamic study of gap structure and pair-breaking effect by magnetic field in the heavy-fermion superconductor CeCu2Si2 (2016)
  • Author(s): S. Kittaka, Y. Aoki, Y. Shimura, T. Sakakibara, S. Seiro, C. Geibel, F. Steglich, Y. Tsutsumi, H. Ikeda, and K. Machida
  • Journal Title: Phys. Rev. B Volume: 94 Issue: 5 Pages: 054514-054514
  • DOI: 10.1103/physrevb.94.054514
  • Peer Reviewed / Int'l Joint Research / Acknowledgement Compliant
• [Journal Article] Nodal gap detection through polar angle-resolved density of states measurements in uniaxial superconductors (2016)
  • Author(s): Y. Tsutsumi, T. Nomoto, H. Ikeda, K. Machida
  • Journal Title: Phys. Rev. B Volume: 94 Issue: 22 Pages: 224503-224503
  • DOI: 10.1103/physrevb.94.224503
  • Peer Reviewed / Acknowledgement Compliant
• [Journal Article] Symmetry-Protected Topological Superfluids and Superconductors -From the Basics to 3He- (2016)
  • Author(s): T. Mizushima, Y. Tsutsumi, T. Kawakami, M. Sato, M. Ichioka, and K. Machida
  • Journal Title: Journal of the Physical Society of Japan Volume: 85 Issue: 2 Pages: 022001-022001
  • DOI: 10.7566/jpsj.85.022001
  • Peer Reviewed / Open Access / Acknowledgement Compliant
• [Journal Article] Evidence for chiral d-wave superconductivity in URu2Si2 from the field-angle variation of its specific heat (2016)
  • Author(s): Shunichiro Kittaka, Yusei Shimizu, Toshiro Sakakibara, Yoshinori Haga, Etsuji Yamamoto, Yoshichika Onuki, Yasumasa Tsutsumi, Takuya Nomoto, Hiroaki Ikeda, and Kazushige Machida
  • Journal Title: J. Phys. Soc. Jpn. Volume: 85 Issue: 3 Pages: 033704-033704
  • DOI: 10.7566/jpsj.85.033704
  • NAID: 210000133846
  • Peer Reviewed / Open Access / Acknowledgement Compliant
• [Journal Article] Coherence Effects of Caroli-de Gennes-Matricon Modes in Nodal Topological Superconductors (2016)
  • Author(s): Y. Tsutsumi and Y. Kato
  • Journal Title: Journal of the Physical Society of Japan Volume: 85 Issue: 5 Pages: 053704-053704
  • DOI: 10.7566/jpsj.85.053704
  • NAID: 40020820581
  • Peer Reviewed / Acknowledgement Compliant
• [Presentation] 超伝導体/強磁性金属/超伝導体接合における対相関とスピン緩和 (2020)
  • Author(s): 堤康雅、前川禎通
  • Organizer: 日本物理学会第７５回年次大会
• [Presentation] Generation of spin current in normal fluid and superfluid helium-3 (2019)
  • Author(s): 堤康雅、前川禎通
  • Organizer: International Symposium on Quantum Fluids and Solids (QFS2019)
  • Int'l Joint Research
• [Presentation] 超流動ヘリウム３表面に束縛されたマヨラナ励起の散乱理論 (2019)
  • Author(s): 堤康雅
  • Organizer: 第１２回トポロジー連携研究会「マヨラナ励起の実証にむけて」
  • Invited
• [Presentation] 超伝導体/強磁性金属/超伝導体接合におけるスピン緩和 (2019)
  • Author(s): 堤康雅、前川禎通
  • Organizer: 日本物理学会２０１９年秋季大会
• [Presentation] ヘリウム３における超流動スピン流 (2019)
  • Author(s): 堤康雅、前川禎通
  • Organizer: 日本物理学会第７４回年次大会
• [Presentation] Generation of spin current in liquid helium-3 (2018)
  • Author(s): 堤康雅、前川禎通
  • Organizer: International Symposium on Quantum Fluids and Solids (QFS2018)
  • Int'l Joint Research
• [Presentation] 液体ヘリウム３におけるスピン流 (2018)
  • Author(s): 堤康雅、前川禎通
  • Organizer: 日本物理学会２０１８年秋季大会
• [Presentation] Depth dependence of ion mobility due to scattering by surface Majorana fermions in 3He-B (2018)
  • Author(s): 堤康雅
  • Organizer: The International Workshop on Electrons and Ions in Quantum Fluids and Solids
  • Int'l Joint Research
• [Presentation] ヘリウム３-B相における表面マヨラナフェルミオンと不純物束縛状態の共鳴散乱 (2018)
  • Author(s): 堤康雅
  • Organizer: 日本物理学会第７３回年次大会
• [Presentation] 交流電場下での磁束渦糸の集団励起 (2017)
  • Author(s): 堤康雅
  • Organizer: 日本物理学会第７２回年次大会
  • Place of Presentation: 大阪大学（大阪府豊中市）
  • Year and Date: 2017-03-17
• [Presentation] Scattering theory on surface Majorana fermions by an impurity in 3He-B (2017)
  • Author(s): 堤康雅
  • Organizer: The 28th International Conference on Low Temperature Physics (LT28)
  • Int'l Joint Research
• [Presentation] トポロジカル超流動体であるヘリウム３の表面状態 (2017)
  • Author(s): 堤康雅
  • Organizer: 日本物理学会２０１７年秋季大会
  • Invited
• [Presentation] 単一磁束渦糸の交流電場応答 (2017)
  • Author(s): 堤康雅
  • Organizer: 第２５回渦糸物理国内会議
• [Presentation] ヘリウム３-B相の自由表面下での不純物の移動度の理論解析 (2016)
  • Author(s): 堤康雅
  • Organizer: 日本物理学会2016年秋季大会
  • Place of Presentation: 金沢大学（石川県金沢市）
  • Year and Date: 2016-09-15
• [Presentation] Theoretical analysis for mobility of ions below a free surface of 3He-B (2016)
  • Author(s): Y. Tsutsumi
  • Organizer: International Symposium on Quantum Fluids and Solids (QFS2016)
  • Place of Presentation: プラハ（チェコ）
  • Year and Date: 2016-08-13
  • Int'l Joint Research
• [Presentation] Coherence Effects of Caroli-de Gennes-Matricon Modes in a Nodal Topological Superconductor UPt3 (2016)
  • Author(s): Y. Tsutsumi and Y. Kato
  • Organizer: International Conference on Strongly Correlated Electron System (SCES2016)
  • Place of Presentation: 杭州（中国）
  • Year and Date: 2016-05-10
  • Int'l Joint Research
• [Presentation] ギャップノードのあるトポロジカル超伝導体における量子渦束縛状態の不純物効果 (2016)
  • Author(s): 堤康雅、加藤雄介
  • Organizer: 日本物理学会第７１回年次大会
  • Place of Presentation: 東北学院大学（仙台市泉区）
  • Year and Date: 2016-03-22
• [Presentation] ギャップノードのあるトポロジカル超伝導体におけるマヨラナ粒子の不純物効果 (2015)
  • Author(s): 堤康雅、加藤雄介
  • Organizer: 第２３回渦糸物理国内会議
  • Place of Presentation: 休暇村志賀島（福岡市東区）
  • Year and Date: 2015-12-09
• [Presentation] 超流動ヘリウム３-B相における表面準粒子の不純物散乱 (2015)
  • Author(s): 堤康雅
  • Organizer: 日本物理学会2015年秋季大会
  • Place of Presentation: 関西大学（大阪府吹田市）
  • Year and Date: 2015-09-18
• [Presentation] Impurity Scattering of Surface Majorana Fermions in superfluid 3He-B (2015)
  • Author(s): Y. Tsutsumi
  • Organizer: International Symposium on Quantum Fluids and Solids (QFS2015)
  • Place of Presentation: ナイアガラフォールズ（アメリカ合衆国）
  • Year and Date: 2015-08-10
  • Int'l Joint Research
• [Book] スピントロニクス (2019)
  • Author(s): 前川禎通、堤康雅
  • Total Pages: 160
  • Publisher: 日本評論社
  • ISBN: 9784535788251
• [Remarks] 加藤雄介研究室ホームページ
  • URL: http://park.itc.u-tokyo.ac.jp/kato-yusuke-lab/tsutsumi/index