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Theory of force on quantum vortices in superconductors

Research Project

Project/Area Number 15K05160
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeMulti-year Fund
Section一般
Research Field Condensed matter physics II
Research InstitutionThe University of Tokyo

Principal Investigator

KATO Yusuke  東京大学, 大学院総合文化研究科, 教授 (20261547)

Research Collaborator Kurosawa Noriyuki  
Masaki Yusuke  
Project Period (FY) 2015-04-01 – 2018-03-31
Project Status Completed (Fiscal Year 2017)
Budget Amount *help
¥4,550,000 (Direct Cost: ¥3,500,000、Indirect Cost: ¥1,050,000)
Fiscal Year 2017: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2016: ¥1,560,000 (Direct Cost: ¥1,200,000、Indirect Cost: ¥360,000)
Fiscal Year 2015: ¥1,950,000 (Direct Cost: ¥1,500,000、Indirect Cost: ¥450,000)
Keywords超伝導 / 量子渦 / フラックフロー / 磁束量子 / マグナス力 / ローレンツ力 / フラックスフロー / 時間に依存するギンツブルグランダウ方程式 / 拡張準古典理論 / 帯電効果 / カイラルP波超伝導体 / 部分波展開 / ギンツブルグランダウ方程式 / London 方程式 / マヨラナ粒子 / カロリドジャンマトリコン状態 / アンドレーエフ束縛状態
Outline of Final Research Achievements

Dynamics of superconductors in magnetic fields are governed by their "weak points", i.e. properties of topological defects. A topological defect in superconductors is quantized magnetic flux, which is also called quantum vortex because the quantized magnetic flux is the center of superconducting circular currents. The problem is "what is the force on quantum vortex in superconductors?". In classical fluids, vortex is subject to Magnus force while magnetic flux is often claimed to feel the Lorentz force due the external current. In this project, we find that the constitutive force of Magnus and Lorentz forces is the only physically meaningful force. Our results are based on the time-dependent-Ginzburg-Landau theory.

Report

(4 results)
  • 2017 Annual Research Report   Final Research Report ( PDF )
  • 2016 Research-status Report
  • 2015 Research-status Report
  • Research Products

    (47 results)

All 2018 2017 2016 2015 Other

All Journal Article (20 results) (of which Peer Reviewed: 16 results,  Open Access: 2 results,  Acknowledgement Compliant: 11 results) Presentation (25 results) (of which Int'l Joint Research: 3 results,  Invited: 2 results) Book (1 results) Remarks (1 results)

  • [Journal Article] Mixing of odd- and even-frequency pairings in strongly correlated electron systems under magnetic field2018

    • Author(s)
      K. Fukui and Y. Kato
    • Journal Title

      J. Phys. Soc. Jpn.

      Volume: 87 Issue: 1 Pages: 014706-014706

    • DOI

      10.7566/jpsj.87.014706

    • Related Report
      2017 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Charged and uncharged vortices in quasiclassical theory2018

    • Author(s)
      Masaki Yusuke、Kato Yusuke
    • Journal Title

      Journal of Physics: Conference Series

      Volume: 969 Pages: 012054-012054

    • DOI

      10.1088/1742-6596/969/1/012054

    • Related Report
      2017 Annual Research Report
    • Peer Reviewed / Open Access
  • [Journal Article] Is the Diagonal Part of the Self-Energy Negligible within an Isolated Vortex in Weak-Coupling Superconductors?2018

    • Author(s)
      N. Kurosawa
    • Journal Title

      J. Phys. Soc. Jpn.

      Volume: 87 Issue: 2 Pages: 024709-024709

    • DOI

      10.7566/jpsj.87.024709

    • NAID

      210000134707

    • Related Report
      2017 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Emergence of Non-Axisymmetric Vortex in Strong-Coupling Chiral p-Wave Superconductor2017

    • Author(s)
      N. Kurosawa and Y. Kato
    • Journal Title

      Journal of Low Temperature physics

      Volume: 187 Issue: 5-6 Pages: 538-544

    • DOI

      10.1007/s10909-016-1692-8

    • Related Report
      2016 Research-status Report
    • Peer Reviewed / Acknowledgement Compliant
  • [Journal Article] Coherence Effects of Caroli-de Gennes-Matricon Modes in Nodal Topological Superconductors2016

    • 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

    • Related Report
      2016 Research-status Report 2015 Research-status Report
    • Peer Reviewed / Acknowledgement Compliant
  • [Journal Article] Finite-Temperature Properties of Three-Dimensional Chiral Helimagnets2016

    • Author(s)
      Misako Shinozaki, Shintaro Hoshino, Yusuke Masaki, Jun-ichiro Kishine, Yusuke Kato
    • Journal Title

      Journal of Physical Society of Japan

      Volume: 85 Issue: 7 Pages: 074710-074716

    • DOI

      10.7566/jpsj.85.074710

    • Related Report
      2016 Research-status Report
    • Peer Reviewed / Open Access / Acknowledgement Compliant
  • [Journal Article] Perturbative Approach to Superfluidity under Nonuniform Potential2016

    • Author(s)
      S. Koshida and Y. Kato
    • Journal Title

      J. Phys. Soc. Jpn

      Volume: 85 Issue: 12 Pages: 124603-124603

    • DOI

      10.7566/jpsj.85.124603

    • NAID

      40021030982

    • Related Report
      2016 Research-status Report
    • Peer Reviewed
  • [Journal Article] Are Quasiparticles and Phonons Identical in Bose-Einstein Condensates2016

    • Author(s)
      K. Tsutsui, Y. Kato and T. Kita
    • Journal Title

      J. Phys. Soc. Jpn

      Volume: 85 Issue: 12 Pages: 124004-124004

    • DOI

      10.7566/jpsj.85.124004

    • NAID

      40021030937

    • Related Report
      2016 Research-status Report
    • Peer Reviewed
  • [Journal Article] 超伝導量子渦のダイナミクス(その6)2016

    • Author(s)
      加藤雄介
    • Journal Title

      固体物理

      Volume: 51 Pages: 275-286

    • Related Report
      2016 Research-status Report 2015 Research-status Report
  • [Journal Article] Nature of driving force on an isolated moving vortex in dirty superconductors2016

    • Author(s)
      Y. Kato, C-K. Chung
    • Journal Title

      J. Phys. Soc. Jpn

      Volume: 85 Issue: 3 Pages: 033703-033703

    • DOI

      10.7566/jpsj.85.033703

    • NAID

      40020761313

    • Related Report
      2015 Research-status Report
    • Peer Reviewed / Acknowledgement Compliant
  • [Journal Article] Impurity Effects on Caroli-de Gennes-Matricon Mode in Vortex Core in Superconductors2016

    • Author(s)
      Y. Masaki, Y. Kato
    • Journal Title

      J. Phys. Soc. Jpn

      Volume: 85 Issue: 1 Pages: 014705-014705

    • DOI

      10.7566/jpsj.85.014705

    • NAID

      40020699869

    • Related Report
      2015 Research-status Report
    • Peer Reviewed / Acknowledgement Compliant
  • [Journal Article] Perturbation Theory for Superfluid in Nonuniform Potential2016

    • Author(s)
      S. Koshida, Y. Kato
    • Journal Title

      Journal of Low Temperature Physics

      Volume: 183 Issue: 3-4 Pages: 71-77

    • DOI

      10.1007/s10909-015-1394-7

    • Related Report
      2015 Research-status Report
    • Peer Reviewed / Acknowledgement Compliant
  • [Journal Article] Effect of Weak and Strong Scatterers on the Spectrum of Vortex Andreev Bound States in Two-Dimensional Chiral p-Wave Superconductors2015

    • Author(s)
      N. Kurosawa, N. Hayashi and Y. Kato
    • Journal Title

      J. Phys. Soc. Jpn

      Volume: 84 Issue: 11 Pages: 114710-114710

    • DOI

      10.7566/jpsj.84.114710

    • Related Report
      2015 Research-status Report
    • Peer Reviewed / Acknowledgement Compliant
  • [Journal Article] Anomalous Scattering of Low-lying Excitations in a Spin-1 Bose-Einstein Condensate2015

    • Author(s)
      S. Watabe and Y. Kato
    • Journal Title

      Europhysics Letters

      Volume: 111 Issue: 5 Pages: 50008-50008

    • DOI

      10.1209/0295-5075/111/50008

    • Related Report
      2015 Research-status Report
    • Peer Reviewed / Acknowledgement Compliant
  • [Journal Article] Impurity Effects on Bound States in Vortex Core of Topological s-Wave Superconductor2015

    • Author(s)
      Y. Masaki and Y. Kato
    • Journal Title

      J. Phys. Soc. Jpn

      Volume: 84 Issue: 9 Pages: 094701-094701

    • DOI

      10.7566/jpsj.84.094701

    • NAID

      40020588278

    • Related Report
      2015 Research-status Report
    • Peer Reviewed / Acknowledgement Compliant
  • [Journal Article] Metastability, excitations, fluctuations, and multiple-swallowtail structures of superfluid of a Bose-Einstein condensate in the presence of a uniformly moving defect2015

    • Author(s)
      M. Kunimi and Y. Kato
    • Journal Title

      Phys. Rev. A

      Volume: 91 Issue: 5

    • DOI

      10.1103/physreva.91.053608

    • Related Report
      2015 Research-status Report
    • Peer Reviewed / Acknowledgement Compliant
  • [Journal Article] Impurity Effects on Vortex Core States in Topological s-Wave Superconductor: Analysis based on Andreev Approximation2015

    • Author(s)
      Y. Masaki and Y. Kato
    • Journal Title

      Physics Procedia

      Volume: 65 Pages: 89-92

    • Related Report
      2015 Research-status Report
    • Peer Reviewed / Acknowledgement Compliant
  • [Journal Article] 超流動とボーズ・アインシュタイン凝縮:長年の未解決な関係2015

    • Author(s)
      加藤雄介
    • Journal Title

      物性研究電子版

      Volume: 11

    • Related Report
      2015 Research-status Report
  • [Journal Article] 超伝導量子渦のダイナミクス(その5)2015

    • Author(s)
      加藤雄介
    • Journal Title

      固体物理

      Volume: 50 Pages: 531-541

    • Related Report
      2015 Research-status Report
  • [Journal Article] 超流動、ボース・アインシュタイン凝縮、密度ゆらぎ2015

    • Author(s)
      加藤 雄介, 渡部昌平
    • Journal Title

      日本物理学会誌

      Volume: 70 Pages: 362-367

    • Related Report
      2015 Research-status Report
  • [Presentation] カイラルp波超伝導の渦電荷に対する準古典的方法2018

    • Author(s)
      正木祐輔、加藤雄介
    • Organizer
      日本物理学会年会
    • Related Report
      2017 Annual Research Report
  • [Presentation] 磁場下の強相関電子系における奇周波数超伝導に対する偶周波数成分の混合効果2018

    • Author(s)
      福井毅勇、加藤雄介
    • Organizer
      日本物理学会年会
    • Related Report
      2017 Annual Research Report
  • [Presentation] ハニカム格子模型によるディラック電子系の電磁応答II2018

    • Author(s)
      寒川崇生, 正木祐輔, 加藤雄介
    • Organizer
      日本物理学会年会
    • Related Report
      2017 Annual Research Report
  • [Presentation] 準古典理論によるカイラルp波超伝導渦の帯電効果2018

    • Author(s)
      正木祐輔、加藤雄介
    • Organizer
      渦糸国内会議
    • Related Report
      2017 Annual Research Report
  • [Presentation] 準古典理論によって得られる超流動ヘリウム3-B相2018

    • Author(s)
      黒澤範行
    • Organizer
      渦糸国内会議
    • Related Report
      2017 Annual Research Report
  • [Presentation] Nature of driving force on quantum vortex in superconductors2017

    • Author(s)
      Y. Kato
    • Organizer
      ICCP10
    • Place of Presentation
      Sands Cotai, Macau, China
    • Year and Date
      2017-01-16
    • Related Report
      2016 Research-status Report
    • Int'l Joint Research / Invited
  • [Presentation] 超伝導単一量子渦にかかる力IV2017

    • Author(s)
      加藤雄介
    • Organizer
      日本物理学会第72回年次大会
    • Place of Presentation
      大阪大学豊中キャンパス、豊中市、大阪府
    • Related Report
      2016 Research-status Report
  • [Presentation] カイラルp波超伝導体の円筒対称性を破る渦における低エネルギー束縛状態2017

    • Author(s)
      黒澤範行, 加藤雄介
    • Organizer
      日本物理学会第72回年次大会
    • Place of Presentation
      大阪大学豊中キャンパス、豊中市、大阪府
    • Related Report
      2016 Research-status Report
  • [Presentation] 高位ランダウ準位を取り入れた渦糸格子フロー解2017

    • Author(s)
      須貝駿貴, 加藤雄介
    • Organizer
      日本物理学会第72回年次大会
    • Place of Presentation
      大阪大学豊中キャンパス、豊中市、大阪府
    • Related Report
      2016 Research-status Report
  • [Presentation] 擬1次元強相関電子系における奇周波数超伝導に対する磁場の効果2017

    • Author(s)
      福井毅勇, 加藤雄介
    • Organizer
      日本物理学会第72回年次大会
    • Place of Presentation
      大阪大学豊中キャンパス、豊中市、大阪府
    • Related Report
      2016 Research-status Report
  • [Presentation] Emergence of Non-Axisymmetric Vortex in Strong-Coupling Chiral p-Wave Superconductor2016

    • Author(s)
      N. Kurosawa and Y. Kato
    • Organizer
      International conference on quantum fluids and solids 2016
    • Place of Presentation
      カレル大学、プラハ、チェコ
    • Year and Date
      2016-08-10
    • Related Report
      2016 Research-status Report
    • Int'l Joint Research
  • [Presentation] Nature of driving force on quantum vortex in superconductors2016

    • Author(s)
      Y. Kato
    • Organizer
      第3回豊田理研ワークショップ Dynamics of Electron vortex and spin vortex
    • Place of Presentation
      豊田産業技術記念館 ,名古屋市、愛知県
    • Year and Date
      2016-07-01
    • Related Report
      2016 Research-status Report
    • Int'l Joint Research / Invited
  • [Presentation] 超伝導単一量子渦にかかる力II2016

    • Author(s)
      加藤雄介,Chung Chun-Kit
    • Organizer
      日本物理学会
    • Place of Presentation
      東北学院大学(宮城県、仙台市)
    • Year and Date
      2016-03-22
    • Related Report
      2015 Research-status Report
  • [Presentation] 強結合カイラルp波超伝導の渦の分裂2016

    • Author(s)
      黒澤範行、加藤雄介
    • Organizer
      日本物理学会
    • Place of Presentation
      東北学院大学(宮城県、仙台市)
    • Year and Date
      2016-03-22
    • Related Report
      2015 Research-status Report
  • [Presentation] 拡張された準古典理論による孤立超伝導量子渦系の数値解析2016

    • Author(s)
      星野晋太郎、加藤雄介
    • Organizer
      日本物理学会
    • Place of Presentation
      東北学院大学(宮城県、仙台市)
    • Year and Date
      2016-03-22
    • Related Report
      2015 Research-status Report
  • [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
    • Place of Presentation
      東北学院大学(宮城県、仙台市)
    • Year and Date
      2016-03-22
    • Related Report
      2015 Research-status Report
  • [Presentation] フラックスフロー状態における渦糸格子にかかる力2016

    • Author(s)
      須貝駿貴, 加藤雄介
    • Organizer
      日本物理学会
    • Place of Presentation
      東北学院大学(宮城県、仙台市)
    • Year and Date
      2016-03-22
    • Related Report
      2015 Research-status Report
  • [Presentation] 保存則を満たすTDGL方程式の渦糸格子フロー解の構成2016

    • Author(s)
      須貝駿貴, 加藤雄介
    • Organizer
      日本物理学会秋季大会2016
    • Place of Presentation
      金沢大学、金沢市、石川県
    • Related Report
      2016 Research-status Report
  • [Presentation] 超伝導単一量子渦にかかる力III2016

    • Author(s)
      加藤雄介
    • Organizer
      日本物理学会秋季大会2016
    • Place of Presentation
      金沢大学、金沢市、石川県
    • Related Report
      2016 Research-status Report
  • [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回渦糸国内会議
    • Place of Presentation
      休暇村志賀島(福岡県、福岡市)
    • Year and Date
      2015-12-09
    • Related Report
      2015 Research-status Report
  • [Presentation] 超伝導渦にかかる力II2015

    • Author(s)
      加藤雄介,Chung Chun-Kit
    • Organizer
      第23回渦糸国内会議
    • Place of Presentation
      休暇村志賀島(福岡県、志賀島)
    • Year and Date
      2015-12-08
    • Related Report
      2015 Research-status Report
  • [Presentation] 拡張された準古典理論による超伝導量子渦の数値解析2015

    • Author(s)
      星野晋太郎、加藤雄介
    • Organizer
      第23回渦糸国内会議
    • Place of Presentation
      休暇村志賀島(福岡県、福岡市)
    • Year and Date
      2015-12-08
    • Related Report
      2015 Research-status Report
  • [Presentation] カイラルp 波超伝導の渦芯における強結合効果2015

    • Author(s)
      黒澤範行、加藤雄介
    • Organizer
      第23回渦糸国内会議
    • Place of Presentation
      休暇村志賀島(福岡県、福岡市)
    • Year and Date
      2015-12-07
    • Related Report
      2015 Research-status Report
  • [Presentation] 時間依存するギンツブルグ・ランダウ理論に基づく超伝導単一量子渦にかかる力の再考2015

    • Author(s)
      加藤雄介, Chung Chun-Kit
    • Organizer
      日本物理学会
    • Place of Presentation
      関西大学千里山キャンパス(大阪府吹田市)
    • Year and Date
      2015-09-19
    • Related Report
      2015 Research-status Report
  • [Presentation] 準古典理論による超伝導量子渦の帯電と不純物効果の数値解析2015

    • Author(s)
      星野晋太郎、加藤雄介
    • Organizer
      日本物理学会
    • Place of Presentation
      関西大学千里山キャンパス(大阪府吹田市)
    • Year and Date
      2015-09-19
    • Related Report
      2015 Research-status Report
  • [Book] 秩序がもつ固さ-超伝導の世界-"高校生のための東大授業ライブ 学問からの挑戦2015

    • Author(s)
      加藤 雄介
    • Publisher
      東京大学出版会
    • Related Report
      2015 Research-status Report
  • [Remarks] 加藤雄介研究室

    • URL

      http://park.itc.u-tokyo.ac.jp/kato-yusuke-lab/

    • Related Report
      2015 Research-status Report

URL: 

Published: 2015-04-16   Modified: 2020-05-15  

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