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Theoretical study of superconductivity in quasiperiodic systems

Research Project

Project/Area Number 17K14350
Research Category

Grant-in-Aid for Young Scientists (B)

Allocation TypeMulti-year Fund
Research Field Condensed matter physics II
Research InstitutionInstitute of Physical and Chemical Research

Principal Investigator

Sakai Shiro  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, 上級研究員 (80506733)

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 2018: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2017: ¥3,250,000 (Direct Cost: ¥2,500,000、Indirect Cost: ¥750,000)
Keywords準結晶 / 超伝導 / フラクタル / 準周期系 / 非従来型超伝導 / FFLO状態
Outline of Final Research Achievements

We have revealed the fundamental properties of quasicrystalline superconductors, as well as finding a new type of superconducting state in quasicrystals under a magnetic field. Quasicrystal has a regular but aperiodic arrangement of atoms, and hence no Fermi surface. On the other hand, the Bardeen-Cooper-Schrieffer (BCS) theory, which is a fundamental theory of superconductors, starts from the pairing of two electrons on the Fermi surface. Since the quasicrystal breaks this prerequisite, it may show superconducting properties different from what the BCS theory tells. In fact, through numerical simulations, we have found that some superconducting properties of quasicrystals are substantially different from those of the BCS. We have also discovered a novel type of superconducting state under a magnetic field, which accompanies a spatial modulation of the phase of the order parameter.

Academic Significance and Societal Importance of the Research Achievements

準結晶超伝導体の基本的性質を明らかにしたことは、今後の準結晶超伝導研究の土台を与える。特に、準結晶超伝導体と通常の超伝導体との物性における差異が明らかになったことは、その特徴を実験的に検出する上で重要である。また、磁場下の超伝導状態の研究を通して、準結晶がエキゾチック超伝導と呼ばれるタイプの非従来型超伝導体の候補と成り得ることを示した。更に、これらの研究によって明らかになったフラクタル的非一様性を有する超伝導状態は、今後、フラクタル構造と超伝導の協奏を研究する上での出発点となりうる。

Report

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

    (20 results)

All 2020 2019 2018 2017 Other

All Int'l Joint Research (3 results) Journal Article (7 results) (of which Int'l Joint Research: 2 results,  Peer Reviewed: 5 results,  Open Access: 4 results) Presentation (10 results) (of which Int'l Joint Research: 9 results,  Invited: 3 results)

  • [Int'l Joint Research] パリ南大学/パリ第7大学/サクレー研究所(フランス)

    • Related Report
      2017 Research-status Report
  • [Int'l Joint Research] ブルックヘブン国立研究所(米国)

    • Related Report
      2017 Research-status Report
  • [Int'l Joint Research] ミナス・ジェライス連邦大学(ブラジル)

    • Related Report
      2017 Research-status Report
  • [Journal Article] Physical properties of weak-coupling quasiperiodic superconductors2020

    • Author(s)
      Nayuta Takemori, Ryotaro Arita, Shiro Sakai
    • Journal Title

      arXiv

      Volume: 2005.03127 Pages: 1-8

    • Related Report
      2019 Annual Research Report
    • Open Access
  • [Journal Article] Exotic pairing state in quasicrystalline superconductors under a magnetic field2019

    • Author(s)
      Shiro Sakai and Ryotaro Arita
    • Journal Title

      Physical Review Research

      Volume: 1 Issue: 2

    • DOI

      10.1103/physrevresearch.1.022002

    • Related Report
      2019 Annual Research Report
    • Peer Reviewed / Open Access
  • [Journal Article] Exotic pairing state in quasicrystalline superconductors under magnetic field2019

    • Author(s)
      Shiro Sakai and Ryotaro Arita
    • Journal Title

      arXiv

      Volume: 1905 Pages: 014871-7

    • Related Report
      2018 Research-status Report
    • Open Access
  • [Journal Article] 準結晶の超伝導-フラクタル超伝導研究の黎明-2018

    • Author(s)
      佐藤憲昭、神谷京佑、酒井志朗、竹森那由多
    • Journal Title

      固体物理

      Volume: 53 Pages: 531-542

    • NAID

      40021709208

    • Related Report
      2018 Research-status Report
    • Peer Reviewed
  • [Journal Article] Correlation-Driven Lifshitz Transition at the Emergence of the Pseudogap Phase in the Two-Dimensional Hubbard Model2018

    • Author(s)
      Braganca Helena、Sakai Shiro、Aguiar M.C.O.、Civelli Marcello
    • Journal Title

      Physical Review Letters

      Volume: 120 Issue: 6

    • DOI

      10.1103/physrevlett.120.067002

    • Related Report
      2017 Research-status Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] Observation of Bogoliubov Band Hybridization in the Optimally Doped Trilayer Bi2Sr2Ca2Cu3O10+δ2017

    • Author(s)
      Kunisada So、Adachi Shintaro、Sakai Shiro、Sasaki Nae、Nakayama Mitsuhiro、Akebi Shuntaro、Kuroda Kenta、Sasagawa Takao、Watanabe Takao、Shin Shik、Kondo Takeshi
    • Journal Title

      Physical Review Letters

      Volume: 119 Issue: 21 Pages: 217001-217005

    • DOI

      10.1103/physrevlett.119.217001

    • Related Report
      2017 Research-status Report
    • Peer Reviewed / Open Access
  • [Journal Article] Vertical temperature boundary of the pseudogap under the superconducting dome in the phase diagram of Bi2Sr2CaCu2O8+δ2017

    • Author(s)
      Loret B.、Sakai S.、Benhabib S.、Gallais Y.、Cazayous M.、M?asson M. A.、Zhong R. D.、Schneeloch J.、Gu G. D.、Forget A.、Colson D.、Paul I.、Civelli M.、Sacuto A.
    • Journal Title

      Physical Review B

      Volume: 96 Issue: 9

    • DOI

      10.1103/physrevb.96.094525

    • Related Report
      2017 Research-status Report
    • Peer Reviewed / Int'l Joint Research
  • [Presentation] Superconductivity in quasiperiodic systems2019

    • Author(s)
      Shiro Sakai
    • Organizer
      Frontiers of Correlated Electron Sciences
    • Related Report
      2019 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Quasicrystalline superconductors under magnetic field2019

    • Author(s)
      Shiro Sakai
    • Organizer
      Spectroscopies in Novel Superconductors
    • Related Report
      2019 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Exotic pairing state in quasiperiodic superconductors under magnetic field2019

    • Author(s)
      Shiro Sakai
    • Organizer
      Interdisciplinary Symposium for Quasicrystals and Strongly Correlated Electron Systems
    • Related Report
      2019 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Exotic superconductivity in quasicrystals under magnetic field2019

    • Author(s)
      Shiro Sakai
    • Organizer
      International Conference on Strongly Correlated Electron Systems 2019
    • Related Report
      2019 Annual Research Report
    • Int'l Joint Research
  • [Presentation] 準結晶超伝導の理論研究2019

    • Author(s)
      酒井志朗
    • Organizer
      京都大学基礎物理学研究所研究会 「電子相関が生み出す超伝導現象の未解決問題と新しい潮流」
    • Related Report
      2019 Annual Research Report
    • Invited
  • [Presentation] Exotic Superconductivity in Quasicrystals under Magnetic Field2019

    • Author(s)
      Shiro Sakai
    • Organizer
      14th Asia-Pacific Physics Conference
    • Related Report
      2019 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Theoretical study of quasicrystalline superconductors2018

    • Author(s)
      Shiro Sakai
    • Organizer
      International Conference on Emerging Advanced Nanomaterials (ICEAN) 2018
    • Related Report
      2018 Research-status Report
    • Int'l Joint Research / Invited
  • [Presentation] Superconductivity on Penrose lattice2017

    • Author(s)
      Shiro Sakai
    • Organizer
      Open space between aperiodic order and strong electronic correlations
    • Related Report
      2017 Research-status Report
    • Int'l Joint Research
  • [Presentation] Superconductivity on quasiperiodic lattice2017

    • Author(s)
      Shiro Sakai
    • Organizer
      the 28th International Conference on Low Temperature Physics
    • Related Report
      2017 Research-status Report
    • Int'l Joint Research
  • [Presentation] Theoretical study of quasicrystalline superconductors2017

    • Author(s)
      Shiro Sakai
    • Organizer
      CEMS Symposium on Trends in Condensed Matter Physics
    • Related Report
      2017 Research-status Report
    • Int'l Joint Research

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Published: 2017-04-28   Modified: 2022-02-22  

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