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Topological phenomena in unconventional superconductors

Research Project

Project/Area Number 19K14612
Research Category

Grant-in-Aid for Early-Career Scientists

Allocation TypeMulti-year Fund
Review Section Basic Section 13010:Mathematical physics and fundamental theory of condensed matter physics-related
Research InstitutionInstitute of Physical and Chemical Research

Principal Investigator

Kobayashi Shingo  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 (40779675)

Project Period (FY) 2019-04-01 – 2024-03-31
Project Status Completed (Fiscal Year 2023)
Budget Amount *help
¥4,160,000 (Direct Cost: ¥3,200,000、Indirect Cost: ¥960,000)
Fiscal Year 2021: ¥1,560,000 (Direct Cost: ¥1,200,000、Indirect Cost: ¥360,000)
Fiscal Year 2020: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2019: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
Keywords異方的超伝導 / マヨラナ準粒子 / 電磁気応答 / 超伝導 / J=3/2電子 / マヨラナ粒子 / トポロジー / ボゴリューボフフェルミ面 / 超伝導体 / 異方的超伝導体 / トポロジカル超伝導体 / トポロジカル物質
Outline of Research at the Start

異方的超伝導体は非s波クーパー対の超伝導体であり、スピンや軌道自由度により多様なクーパー対を実現する。多様なクーパー対は、異方的超伝導体の物理を豊富にする一方で、実験的なクーパー対の決定は容易ではなく、多くの超伝導体のクーパー対が未解決である。本研究では、トポロジーの観点からクーパー対の検出法を提案する。トポロジーの解析は、多くの非s波クーパー対に対し固有の表面状態を予言する。この性質を応用し、クーパー対の対称性の違いを表面状態から読み解く理論を構築する。さらに、本研究では、トポロジーの解析による結果を表面コンダクタンスの計算より実証し、現実の物質で検出に有効な物理量も提案する。

Outline of Final Research Achievements

Unconventional superconductors are those with non-s-wave Cooper pairs. While these pairs enhance the physics of unconventional superconductors, their experimental identification poses challenges. Despite extensive effort, determining the exact symmetry of Cooper pairs remains elusive in many unconventional superconductors.
In this study, we propose a method for detecting Cooper pair symmetry through surface magnetic response. By using topological analysis, we found that unconventional superconductors possess topologically protected surface states, which display an anisotropic magnetic response. We established a direct connection between types of the magnetic responses and Cooper pair symmetry. We illustrated a distinct magnetic response in the case of j=3/2 superconductor YPtBi and nonsymmorphic superconductor UCoGe.

Academic Significance and Societal Importance of the Research Achievements

本研究成果は、クーパー対の対称性が未解明であった物質において、物質表面の磁気応答を測るという新しい決定方法を与える。本手法は表面での電子状態のみが重要となるため、多軌道系などバルクで複雑な電子状態を持った系へも適用できる。例えば、YPtBiなどj=3/2スピンを持つ電子によるクーパー対の決定法はまだ確立していないが、本手法はこのような系でも威力を発揮しj=3/2スピンの効果を抽出することも可能である。また、本研究の別の視点からみるとマヨラナ粒子の制御法や操作法も確立でき、スピントロニクスや量子コンピュータへの応用にも貢献すると期待できる。

Report

(6 results)
  • 2023 Annual Research Report   Final Research Report ( PDF )
  • 2022 Research-status Report
  • 2021 Research-status Report
  • 2020 Research-status Report
  • 2019 Research-status Report
  • Research Products

    (52 results)

All 2024 2023 2022 2021 2020 2019 Other

All Int'l Joint Research (4 results) Journal Article (16 results) (of which Int'l Joint Research: 1 results,  Peer Reviewed: 14 results) Presentation (32 results) (of which Int'l Joint Research: 12 results,  Invited: 8 results)

  • [Int'l Joint Research] ドレスデン工科大学(ドイツ)

    • Related Report
      2021 Research-status Report
  • [Int'l Joint Research] オタゴ大学(ニュージーランド)

    • Related Report
      2021 Research-status Report
  • [Int'l Joint Research] ドレスデン工科大学(ドイツ)

    • Related Report
      2019 Research-status Report
  • [Int'l Joint Research] オタゴ大学(ニュージーランド)

    • Related Report
      2019 Research-status Report
  • [Journal Article] Spin Susceptibility of a J= 3/2 Superconductor2023

    • Author(s)
      Kim Dakyeong、Sato Takumi、Kobayashi Shingo、Asano Yasuhiro
    • Journal Title

      Journal of the Physical Society of Japan

      Volume: 92 Issue: 5

    • DOI

      10.7566/jpsj.92.054703

    • Related Report
      2022 Research-status Report
    • Peer Reviewed
  • [Journal Article] Erratum: Fragile topological insulators protected by rotation symmetry without spin-orbit coupling [Phys. Rev. B 104, 195114 (2021)]2022

    • Author(s)
      Kobayashi Shingo、Furusaki Akira
    • Journal Title

      Physical Review B

      Volume: 105 Issue: 3

    • DOI

      10.1103/physrevb.105.039903

    • Related Report
      2021 Research-status Report
    • Peer Reviewed
  • [Journal Article] Josephson effect of superconductors with J=3/2 electrons2021

    • Author(s)
      Kim Dakyeong、Kobayashi Shingo、Asano Yasuhiro
    • Journal Title

      Physical Review B

      Volume: 103 Issue: 18

    • DOI

      10.1103/physrevb.103.184516

    • NAID

      120007089512

    • Related Report
      2021 Research-status Report
    • Peer Reviewed
  • [Journal Article] Majorana multipole response: General theory and application to wallpaper groups2021

    • Author(s)
      Kobayashi Shingo、Yamazaki Yuki、Yamakage Ai、Sato Masatoshi
    • Journal Title

      Physical Review B

      Volume: 103 Issue: 22 Pages: 224504-224504

    • DOI

      10.1103/physrevb.103.224504

    • Related Report
      2021 Research-status Report
    • Peer Reviewed
  • [Journal Article] Electric Multipoles of Double Majorana Kramers Pairs2021

    • Author(s)
      Yamazaki Yuki、Kobayashi Shingo、Yamakage Ai
    • Journal Title

      Journal of the Physical Society of Japan

      Volume: 90 Issue: 7 Pages: 073701-073701

    • DOI

      10.7566/jpsj.90.073701

    • NAID

      40022619548

    • Related Report
      2021 Research-status Report
    • Peer Reviewed
  • [Journal Article] Quasiparticle on Bogoliubov Fermi Surface and Odd-Frequency Cooper Pair2021

    • Author(s)
      Kim Dakyeong、Kobayashi Shingo、Asano Yasuhiro
    • Journal Title

      Journal of the Physical Society of Japan

      Volume: 90 Issue: 10 Pages: 104708-104708

    • DOI

      10.7566/jpsj.90.104708

    • NAID

      40022709394

    • Related Report
      2021 Research-status Report
    • Peer Reviewed
  • [Journal Article] Possible topological phases in quantum anomalous Hall insulator/unconventional superconductor hybrid systems2021

    • Author(s)
      Ohashi Ryoi、Kobayashi Shingo、Tanaka Yukio
    • Journal Title

      Physical Review B

      Volume: 104 Issue: 13 Pages: 134518-134518

    • DOI

      10.1103/physrevb.104.134518

    • Related Report
      2021 Research-status Report
    • Peer Reviewed
  • [Journal Article] Fragile topological insulators protected by rotation symmetry without spin-orbit coupling2021

    • Author(s)
      Kobayashi Shingo、Furusaki Akira
    • Journal Title

      Physical Review B

      Volume: 104 Issue: 19

    • DOI

      10.1103/physrevb.104.195114

    • Related Report
      2021 Research-status Report
    • Peer Reviewed
  • [Journal Article] Magnetic response of Majorana Kramers pairs with an order-two symmetry2021

    • Author(s)
      Yamazaki Yuki、Kobayashi Shingo、Yamakage Ai
    • Journal Title

      Physical Review B

      Volume: 103 Issue: 9 Pages: 094508-094508

    • DOI

      10.1103/physrevb.103.094508

    • Related Report
      2020 Research-status Report
    • Peer Reviewed
  • [Journal Article] 物質中のマヨラナ粒子の磁気異方性―映進対称性と四極子型の磁気応答―2021

    • Author(s)
      山崎勇樹,小林伸吾,山影相
    • Journal Title

      固体物理

      Volume: 56 Pages: 49-58

    • NAID

      40022473303

    • Related Report
      2020 Research-status Report
  • [Journal Article] Double Majorana vortex zero modes in superconducting topological crystalline insulators with surface rotation anomaly2020

    • Author(s)
      Shingo Kobayashi, Akira Furusaki
    • Journal Title

      Physical Review B

      Volume: 102 Issue: 18

    • DOI

      10.1103/physrevb.102.180505

    • Related Report
      2020 Research-status Report
    • Peer Reviewed
  • [Journal Article] 超伝導ギャップ構造の現代的分類理論2020

    • Author(s)
      角田峻太郎、小林伸吾
    • Journal Title

      固体物理

      Volume: 55 Pages: 463-478

    • NAID

      40022384100

    • Related Report
      2020 Research-status Report
  • [Journal Article] Generalized Berry phase for a bosonic Bogoliubov system with exceptional points2020

    • Author(s)
      Ohashi Terumichi、Kobayashi Shingo、Kawaguchi Yuki
    • Journal Title

      Physical Review A

      Volume: 101 Issue: 1 Pages: 013625-013625

    • DOI

      10.1103/physreva.101.013625

    • Related Report
      2019 Research-status Report
    • Peer Reviewed
  • [Journal Article] Magnetic Response of Majorana Kramers Pairs Protected by Z2 Invariants2020

    • Author(s)
      Yamazaki Yuki、Kobayashi Shingo、Yamakage Ai
    • Journal Title

      Journal of the Physical Society of Japan

      Volume: 89 Issue: 4 Pages: 043703-043703

    • DOI

      10.7566/jpsj.89.043703

    • Related Report
      2019 Research-status Report
    • Peer Reviewed
  • [Journal Article] Nodal Andreev spectra in multi-Majorana three-terminal Josephson junctions2020

    • Author(s)
      Sakurai Keimei、Mercaldo Maria Teresa、Kobayashi Shingo、Yamakage Ai、Ikegaya Satoshi、Habe Tetsuro、Kotetes Panagiotis、Cuoco Mario、Asano Yasuhiro
    • Journal Title

      Physical Review B

      Volume: 101 Issue: 17

    • DOI

      10.1103/physrevb.101.174506

    • NAID

      120006863173

    • Related Report
      2019 Research-status Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] Majorana Multipole Response of Topological Superconductors2019

    • Author(s)
      Kobayashi Shingo、Yamakage Ai、Tanaka Yukio、Sato Masatoshi
    • Journal Title

      Physical Review Letters

      Volume: 123 Issue: 9 Pages: 097002-097002

    • DOI

      10.1103/physrevlett.123.097002

    • NAID

      130007737184

    • Related Report
      2019 Research-status Report
    • Peer Reviewed
  • [Presentation] Magnetic and electric response of Majorana fermions in time-reversal-symmetry-broken topological superconductors2024

    • Author(s)
      Yuki Yamazaki, Shingo Kobayashi
    • Organizer
      CEMS Symposium on Emergent Quantum Materials 2024
    • Related Report
      2023 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Electric response of Majorana Fermions in topological crystalline superconductors2024

    • Author(s)
      Yuki Yamazaki, Shingo Kobayashi, Ai Yamakage
    • Organizer
      American Physical Society March Meeting 2024
    • Related Report
      2023 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Magnetic and electrical response of Majorana fermions in topological superconductors2023

    • Author(s)
      Yuki Yamazaki, Shingo Kobayashi
    • Organizer
      Trends in Theory of Quantum Materials 2023
    • Related Report
      2023 Annual Research Report
    • Int'l Joint Research
  • [Presentation] サブギャップ状態を持つJ=3/2超伝導体の熱力学的不安定性2023

    • Author(s)
      佐藤匠、小林伸吾、浅野泰寛
    • Organizer
      日本物理学会 第78回年次大会
    • Related Report
      2023 Annual Research Report
  • [Presentation] j=3/2超伝導体のスピン磁化率2023

    • Author(s)
      金多景、佐藤匠、小林伸吾、浅野泰寛
    • Organizer
      日本物理学会 第78回年次大会
    • Related Report
      2023 Annual Research Report
  • [Presentation] 時間反転対称性が破れた超伝導体における磁気対称性に保護されたマヨラナ準粒子と電磁気応答理論2023

    • Author(s)
      山崎勇樹、小林伸吾
    • Organizer
      京都大学基礎物理学研究所研究会「超伝導研究の発展と広がり」
    • Related Report
      2023 Annual Research Report
  • [Presentation] 時間反転対称性が破れたトポロジカル超伝導体におけるマヨラナ準粒子の磁気応答2023

    • Author(s)
      山崎勇樹,小林伸吾,山影相
    • Organizer
      日本物理学会 2023年春季大会
    • Related Report
      2022 Research-status Report
  • [Presentation] ボゴリューボフ・フェルミ面をもつ超伝導体における準粒子状態密度2023

    • Author(s)
      佐藤匠,小林伸吾,浅野泰寛
    • Organizer
      日本物理学会 2023年春季大会
    • Related Report
      2022 Research-status Report
  • [Presentation] Bogoliubov Fermi surfaces from pairing of j=3/2 fermions on the pyrochlore lattice2022

    • Author(s)
      Shingo Kobayashi, Ankita Bhattacharya, Carsten Timm, P. M. R. Brydon
    • Organizer
      29th International Conference on Low temperature physics
    • Related Report
      2022 Research-status Report
    • Int'l Joint Research
  • [Presentation] Theoretical study of Majorana particles in topological superconductors2022

    • Author(s)
      Shingo Kobayashi
    • Organizer
      100th CEMS Colloquium -The 9th CEMS Award Lectures -
    • Related Report
      2022 Research-status Report
    • Invited
  • [Presentation] パイロクロア格子中のj=3/2電子ペアによるボゴリューボフフェルミ面2022

    • Author(s)
      小林伸吾、A. Bhattacharya、C. Timm、P. M. R. Brydon
    • Organizer
      日本物理学会第77回年次大会(オンライン大会)
    • Related Report
      2021 Research-status Report
  • [Presentation] ボゴリューボフ・フェルミ面上の準粒子と奇周波数クーパー対2022

    • Author(s)
      金多景、小林伸吾、浅野泰寛
    • Organizer
      日本物理学会第77回年次大会(オンライン大会)
    • Related Report
      2021 Research-status Report
  • [Presentation] Fragile topological insulators protected by rotation symmetry without spin-orbit coupling2022

    • Author(s)
      Shingo Kobayashi
    • Organizer
      IBS-CCES regular seminar
    • Related Report
      2021 Research-status Report
    • Int'l Joint Research / Invited
  • [Presentation] Fragile topological insulators protected by rotation symmetry without spin-orbit coupling2022

    • Author(s)
      Shingo Kobayashi and Akira Furusaki
    • Organizer
      American Physical Society March Meeting 2022
    • Related Report
      2021 Research-status Report
    • Int'l Joint Research
  • [Presentation] Fragile topological insulators protected by rotation symmetry without spin-orbit coupling2022

    • Author(s)
      Shingo Kobayashi
    • Organizer
      CREST Research seminar on “Topological studies of topological phases of matter”
    • Related Report
      2021 Research-status Report
    • Invited
  • [Presentation] トポロジカル超伝導におけるマヨラナ多極子応答2021

    • Author(s)
      小林伸吾
    • Organizer
      大阪大学藤本・水島研究室セミナー(オンライン)
    • Related Report
      2021 Research-status Report
    • Invited
  • [Presentation] Fragile topological insulators protected by rotation symmetry without spin-orbit coupling2021

    • Author(s)
      Shingo Kobayashi
    • Organizer
      東京工業大学村上研究室セミナー(オンライン)
    • Related Report
      2021 Research-status Report
    • Invited
  • [Presentation] スピン軌道結合を持たない回転対称性に保護された脆いトポロジカル絶縁体2021

    • Author(s)
      小林伸吾、古崎昭
    • Organizer
      日本物理学会2021年秋季大会(オンライン大会)
    • Related Report
      2021 Research-status Report
  • [Presentation] トポロジカル結晶超伝導におけるマヨラナクラマース対の歪みに対する応答2021

    • Author(s)
      山崎勇樹、小林伸吾、山影相
    • Organizer
      日本物理学会2021年秋季大会(オンライン大会)
    • Related Report
      2021 Research-status Report
  • [Presentation] Double Majorana vortex zero modes in superconducting topological crystalline insulators with surface rotation anomaly2021

    • Author(s)
      Shingo Kobayashi and Akira Furusaki
    • Organizer
      APS March Meeting 2021
    • Related Report
      2020 Research-status Report
    • Int'l Joint Research
  • [Presentation] トポロジカル超伝導におけるマヨラナ多極子応答2021

    • Author(s)
      小林伸吾
    • Organizer
      物質・材料機構 WPI-MANAワークショップ(4)「超伝導物質、トポロジカル物質」
    • Related Report
      2020 Research-status Report
  • [Presentation] 結晶対称性に保護された超伝導渦中のマヨラナ状態2021

    • Author(s)
      小林伸吾、古崎昭
    • Organizer
      日本物理学会第76回年次大会
    • Related Report
      2020 Research-status Report
  • [Presentation] Majorana vortex zero modes in superconducting topological crystalline insulators2020

    • Author(s)
      Shingo Kobayashi and Akira Furusaki
    • Organizer
      Topological Superconductivity in Quantum Materials On-line Workshop
    • Related Report
      2020 Research-status Report
    • Int'l Joint Research
  • [Presentation] Majorana Electric Quadrupole Response in Topological Crystalline Superconductors2020

    • Author(s)
      Yuki Yamazaki, Shingo Kobayashi, and Ai Yamakage
    • Organizer
      Topological Superconductivity in Quantum Materials On-line Workshop
    • Related Report
      2020 Research-status Report
    • Int'l Joint Research
  • [Presentation] マヨラナフラットバンドを有るトポロジカル超伝導体の理論研究2020

    • Author(s)
      小林伸吾
    • Organizer
      日本物理学会 第75回年次大会 領域4若手奨励賞記念講演
    • Related Report
      2020 Research-status Report
    • Invited
  • [Presentation] 結晶対称性により保護されたマヨラナ準粒子の多極子応答2020

    • Author(s)
      小林伸吾、山崎勇樹、山影相、佐藤昌利
    • Organizer
      日本物理学会 第75回年次大会
    • Related Report
      2019 Research-status Report
  • [Presentation] マヨラナフラットバンドを有るトポロジカル超伝導体の理論研究2020

    • Author(s)
      小林伸吾
    • Organizer
      本物理学会 第75回年次大会 領域4若手奨励賞記念講演
    • Related Report
      2019 Research-status Report
    • Invited
  • [Presentation] Majorana multipole response of topological superconductors2019

    • Author(s)
      Shingo Kobayashi, Ai Yamakage, Yukio Tanaka, and Masatoshi Sato
    • Organizer
      Oxide Superspin workshop 2019 (OSS2019)
    • Related Report
      2019 Research-status Report
    • Int'l Joint Research
  • [Presentation] Majorana multipole response of topological superconductors2019

    • Author(s)
      Shingo Kobayashi, Ai Yamakage, Yukio Tanaka, and Masatoshi Sato
    • Organizer
      Swiss Japan bilateral workshop: Trends in Theory of Correlated Materials (TTCM2019)
    • Related Report
      2019 Research-status Report
    • Int'l Joint Research
  • [Presentation] Majorana multipole response of topological superconductors2019

    • Author(s)
      Shingo Kobayashi, Ai Yamakage, Yukio Tanaka, and Masatoshi Sato
    • Organizer
      International Conference on Topological Materials Science 2019(TopoMat2019)
    • Related Report
      2019 Research-status Report
    • Int'l Joint Research
  • [Presentation] ディラック半金属におけるトポロジカル超伝導2019

    • Author(s)
      小林伸吾
    • Organizer
      第11回トポロジー連携研究会「トポロジカル半金属」
    • Related Report
      2019 Research-status Report
    • Invited
  • [Presentation] トポロジカル超伝導体におけるマヨラナ準粒子の多極子理論2019

    • Author(s)
      小林伸吾
    • 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 Research-status Report

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Published: 2019-04-18   Modified: 2025-01-30  

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