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Theoretical proposal for novel devices based on the Kitaev model

Research Project

Project/Area Number 21H01025
Research Category

Grant-in-Aid for Scientific Research (B)

Allocation TypeSingle-year Grants
Section一般
Review Section Basic Section 13030:Magnetism, superconductivity and strongly correlated systems-related
Research InstitutionTohoku University

Principal Investigator

Tsuchiura Hiroki  東北大学, 工学研究科, 准教授 (30374961)

Co-Investigator(Kenkyū-buntansha) 古賀 昌久  東京工業大学, 理学院, 准教授 (90335373)
Project Period (FY) 2021-04-01 – 2024-03-31
Project Status Completed (Fiscal Year 2023)
Budget Amount *help
¥15,210,000 (Direct Cost: ¥11,700,000、Indirect Cost: ¥3,510,000)
Fiscal Year 2023: ¥5,590,000 (Direct Cost: ¥4,300,000、Indirect Cost: ¥1,290,000)
Fiscal Year 2022: ¥5,850,000 (Direct Cost: ¥4,500,000、Indirect Cost: ¥1,350,000)
Fiscal Year 2021: ¥3,770,000 (Direct Cost: ¥2,900,000、Indirect Cost: ¥870,000)
Keywordsキタエフ模型 / マヨラナ準粒子 / 異常なジョセフソン効果 / 並進・回転対称性の破れた超伝導状態 / 超伝導ダイオード効果 / 超伝導量子計算素子 / 並進・回転対称生の破れたスピン3重項超伝導状態 / 並進・回転対称性の破れたスピン3重項超伝導状態 / ジョセフソン効果 / トポロジカル超伝導 / トポロジカル論理ゲート
Outline of Research at the Start

本申請課題は,キタエフ模型で予測される新奇物性を活用した,比較的簡便な制御性を持つデバイスの理論的提案及びその実現のための物質探索を行うことを目的とする.通常,キタエフ模型の応用というと,マヨラナ準粒子の非可換統計性を活用したトポロジカルな量子計算素子が想起される.しかし,それにはマヨラナ準粒子のbraidingという極めて実現困難な操作が不可欠である.そこで本申請課題においては,キタエフ模型を活用した,braidingを伴わない量子計算素子や,マヨラナ準粒子によるスピンまたは量子位相伝播を利用した論理ゲート等の理論的提案を行い,キタエフ模型の実用化に関する新たなアプローチを展開する.

Outline of Final Research Achievements

The objective of this research project is to propose theoretical devices with relatively simple controllability that take advantage of the novel physical properties predicted in the Kitaev model. Two types of the Kitaev model are known: a quantum spin type and a one-dimensional p-wave superconductor type. With regard to the quantum spin type model, a new switching mechanism has been proposed that controls the transport of magnetic excitations by Majorana quasiparticles. Furthermore, we predicted the emergence of rotationally symmetry-breaking superconducting states in carrier-doped systems, along with the proposal of a superconducting switch utilizing this mechanism. With regard to the 1D p-wave model, various Josephson current-phase relationships and also the superconducting diode effect have been predicted when the models are arranged in parallel pairs.

Academic Significance and Societal Importance of the Research Achievements

近年,トポロジカル絶縁体・超伝導体という概念が確立・浸透し,それに伴いこれらの物質で予想される新しい現象を活用したデバイス開発が期待されてきた.その代表的なものに,これらの物質で期待されるマヨラナ準粒子状態を用いた量子計算素子の開発がある.しかしながら,そのためにはマヨラナ準粒子同士の位置交換という極めて困難な操作を実現する必要があり,実用化には遠い.本研究課題では,マヨラナ準粒子の存在が期待されるキタエフ模型をもとにして,比較的簡便な操作性をもつ新奇デバイス構造を理論的に3種類提案したことにより,トポロジカル物質の応用に新たな活路を開くことができたと考えている.

Report

(4 results)
  • 2023 Annual Research Report   Final Research Report ( PDF )
  • 2022 Annual Research Report
  • 2021 Annual Research Report
  • Research Products

    (32 results)

All 2024 2023 2022 2021 Other

All Int'l Joint Research (7 results) Journal Article (13 results) (of which Int'l Joint Research: 3 results,  Peer Reviewed: 13 results,  Open Access: 7 results) Presentation (12 results) (of which Int'l Joint Research: 8 results)

  • [Int'l Joint Research] ETH-Zurich(スイス)

    • Related Report
      2023 Annual Research Report
  • [Int'l Joint Research] Institute of Physics of ASCR(チェコ)

    • Related Report
      2023 Annual Research Report
  • [Int'l Joint Research] Uppsala University(スウェーデン)

    • Related Report
      2023 Annual Research Report
  • [Int'l Joint Research] Academic Society of Czech Republic(チェコ)

    • Related Report
      2022 Annual Research Report
  • [Int'l Joint Research] Danube University, Krems(オーストリア)

    • Related Report
      2022 Annual Research Report
  • [Int'l Joint Research] Academic Society of Czech Republic(チェコ)

    • Related Report
      2021 Annual Research Report
  • [Int'l Joint Research] Danube University(オーストリア)

    • Related Report
      2021 Annual Research Report
  • [Journal Article] Theory of non-Hermitian fermionic superfluidity on a honeycomb lattice: Interplay between exceptional manifolds and Van Hove singularity2024

    • Author(s)
      Takemori Soma、Yamamoto Kazuki、Koga Akihisa
    • Journal Title

      Physical Review B

      Volume: 109 Issue: 6

    • DOI

      10.1103/physrevb.109.l060501

    • Related Report
      2023 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Josephson effects between the Kitaev ladder superconductors2023

    • Author(s)
      Osamu Kanehira, Hiroki Tsuchiura
    • Journal Title

      SciPost Physics Proceedings

      Volume: 11 Issue: 11

    • DOI

      10.21468/scipostphysproc.11.014

    • Related Report
      2023 Annual Research Report
    • Peer Reviewed / Open Access
  • [Journal Article] Field-direction Dependence of Majorana-mediated Spin Transport2023

    • Author(s)
      Taguchi Hirokazu、Koga Akihisa、Murakami Yuta、Nasu Joji、Tsuchiura Hiroki
    • Journal Title

      JPS Conf. Proc.

      Volume: 38 Pages: 011152-011152

    • DOI

      10.7566/jpscp.38.011152

    • Related Report
      2023 Annual Research Report
    • Peer Reviewed / Open Access
  • [Journal Article] Efficient scheme for time-dependent thermal pure quantum state: Application to the Kitaev model with armchair edges2023

    • Author(s)
      Taguchi Hirokazu、Koga Akihisa、Murakami Yuta
    • Journal Title

      SciPost Physics Proceedings

      Volume: 11 Issue: 11

    • DOI

      10.21468/scipostphysproc.11.003

    • Related Report
      2023 Annual Research Report
    • Peer Reviewed / Open Access
  • [Journal Article] Majorana Gap Formation in the Anisotropic Kitaev Model with Ordered Flux Configuration2023

    • Author(s)
      A. Hashimoto, Y. Murakami, and A. Koga
    • Journal Title

      Phys. Rev. B

      Volume: 107 Issue: 17 Pages: 1744281-8

    • DOI

      10.1103/physrevb.107.174428

    • Related Report
      2023 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Multimodal analysis of Zr substitution effects on magnetic and crystallographic properties in (Sm1-xZrx )(Fe0.8Co0.2)12 compounds with ThMn12 structure2023

    • Author(s)
      Kobayashi S.、Ogawa D.、Xu X.D.、Takahashi Y.K.、Martin-Cid A.、Ishigami K.、Kotani Y.、Suzuki M.、Yoshioka T.、Tsuchiura H.、Sepehri-Amin H.、Ohkubo T.、Hono K.、Hirosawa S.、Nakamura T.
    • Journal Title

      Acta Materialia

      Volume: 242 Pages: 118454-118454

    • DOI

      10.1016/j.actamat.2022.118454

    • Related Report
      2022 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Maximum energy product of exchange-coupled Sm(FeCo)12/α-Fe nanocomposite particle2023

    • Author(s)
      Uda Ryusei、Koike Kunihiro、Inaba Nobuyuki、Kato Hiroaki、Itakura Masaru、Okubo Susumu、Ohta Hitoshi、Tsuchiura Hiroki
    • Journal Title

      AIP Advances

      Volume: 13 Issue: 2 Pages: 0253111-0253117

    • DOI

      10.1063/9.0000506

    • Related Report
      2022 Annual Research Report
    • Peer Reviewed / Open Access
  • [Journal Article] Confined states in the tight-binding model on the hexagonal golden-mean tiling2023

    • Author(s)
      Matsubara Toranosuke、Koga Akihisa、Coates Sam
    • Journal Title

      Journal of Physics: Conference Series

      Volume: 2461 Issue: 1 Pages: 012003-012003

    • DOI

      10.1088/1742-6596/2461/1/012003

    • Related Report
      2022 Annual Research Report
    • Peer Reviewed / Open Access / Int'l Joint Research
  • [Journal Article] Ab initio study on the possible magnetic topological semimetallic state in MnMg2O42022

    • Author(s)
      Tomita S.、Yao D.-P.、Tsuchiura H.、Nomura K.
    • Journal Title

      AIP Advances

      Volume: 12 Issue: 3 Pages: 035331-035331

    • DOI

      10.1063/9.0000317

    • Related Report
      2021 Annual Research Report
    • Peer Reviewed / Open Access
  • [Journal Article] Effect of element doping and substitution on the electronic structure and macroscopic magnetic properties of SmFe12-based compounds2022

    • Author(s)
      Yoshioka Takuya、Tsuchiura Hiroki、Novak Pavel
    • Journal Title

      Physical Review B

      Volume: 105 Issue: 1 Pages: 014402-014402

    • DOI

      10.1103/physrevb.105.014402

    • Related Report
      2021 Annual Research Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] Rare-earth moment reduction and local magnetic anisotropy in Pr2Fe14B and Tm2Fe14B2022

    • Author(s)
      Sato Hiroto、Yoshioka Takuya、Tsuchiura Hiroki、Mizuno Yoshiyuki、Koike Kunihiro、Takahashi Kohki、Kato Hiroaki
    • Journal Title

      Journal of Magnetism and Magnetic Materials

      Volume: 545 Pages: 168684-168684

    • DOI

      10.1016/j.jmmm.2021.168684

    • Related Report
      2021 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Thermally enhanced Majorana-mediated spin transport in the Kitaev model2022

    • Author(s)
      Taguchi Hirokazu、Murakami Yuta、Koga Akihisa
    • Journal Title

      Physical Review B

      Volume: 105 Issue: 12 Pages: 125137-125137

    • DOI

      10.1103/physrevb.105.125137

    • Related Report
      2021 Annual Research Report
    • Peer Reviewed
  • [Journal Article] First-principles calculations of magnetic properties for analysis of magnetization processes in rare-earth permanent magnets2021

    • Author(s)
      Tsuchiura Hiroki、Yoshioka Takuya、Novak Pavel、Fischbacher Johann、Kovacs Alexander、Schrefl Thomas
    • Journal Title

      Science and Technology of Advanced Materials

      Volume: 22 Issue: 1 Pages: 748-757

    • DOI

      10.1080/14686996.2021.1947119

    • NAID

      130008145813

    • Related Report
      2021 Annual Research Report
    • Peer Reviewed / Open Access / Int'l Joint Research
  • [Presentation] Josephson Current-Phase Relations of Finite Size Effect Between the Kitaev ladder2023

    • Author(s)
      Chengrong Xie, Shuhei Fukuda, Hiroki Tsuchiura, and Yukio Tanaka
    • Organizer
      International Conference on Strongly Correlated Electron Systems 2023 (SCES2023)
    • Related Report
      2023 Annual Research Report
    • Int'l Joint Research
  • [Presentation] DyCo5におけるスピン再配列と異常ホール効果2023

    • Author(s)
      王世博, 土浦宏紀
    • Organizer
      日本物理学会第78回年次大会
    • Related Report
      2023 Annual Research Report
  • [Presentation] 一次元キタエフナノワイヤー対におけるジョセフソン電流2023

    • Author(s)
      謝承融, 土浦宏紀, 田仲由喜夫
    • Organizer
      日本物理学会第78回年次大会
    • Related Report
      2023 Annual Research Report
  • [Presentation] ハニカム格子上のハバードモデルにおける散逸誘起フェルミ超流動2023

    • Author(s)
      竹森颯真, 山本和樹, 古賀昌久
    • Organizer
      日本物理学会第78回年次大会
    • Related Report
      2023 Annual Research Report
  • [Presentation] ハニカム格子を近似する非周期的貴金属比タイリングII2023

    • Author(s)
      松原虎之助, 古賀昌久, 堂寺知成
    • Organizer
      日本物理学会第78回年次大会
    • Related Report
      2023 Annual Research Report
  • [Presentation] Josephson effects between the Kitaev ladder superconductors2022

    • Author(s)
      Hiroki Tsuchiura
    • Organizer
      International Conference on Strongly Correlated Electron Systems 2022 (SCES2022)
    • Related Report
      2022 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Majorana zero modes on parallel one-dimensional p-wave superconducting wires2022

    • Author(s)
      C.-R. Xie, S. Fukuda, H. Tsuchiura, and Y. Tanaka
    • Organizer
      International Conference on Strongly Correlated Electron Systems 2022 (SCES2022)
    • Related Report
      2022 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Josephson current-phase relations between paired parallel one-dimensional p-wave superconducting wires2022

    • Author(s)
      C.-R. Xie, S. Fukuda, H. Tsuchiura, and Y. Tanaka
    • Organizer
      29th International Conference on LOW TEMPERATURE PHYSICS (LT29)
    • Related Report
      2022 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Real-space analysis of hole-doped spin liquid states based on an extended Kitaev model2022

    • Author(s)
      S. Fukuda, H. Tsuchiura and S. Suga
    • Organizer
      29th International Conference on LOW TEMPERATURE PHYSICS (LT29)
    • Related Report
      2022 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Ab-initio study on the possible magnetic topological semimetallic state in MnMg2O42022

    • Author(s)
      S. Tomita, D.-P. Yao, H. Tsuchiura, and K. Nomura
    • Organizer
      2022 Joint MMM-INTERMAG conference
    • Related Report
      2021 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Spin current rectifier based on the Kitaev spin model2022

    • Author(s)
      O. Kanehira, H. Tsuchiura, and A. Koga
    • Organizer
      2022 Joint MMM-INTERMAG conference
    • Related Report
      2021 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Real-space analysis of hole-doped spin liquid states based on an extended Kitaev model2021

    • Author(s)
      S. Fukuda, H. Tsuchiura, and S. Suga
    • Organizer
      The 34th International Symposium on Superconductivity (ISS2021)
    • Related Report
      2021 Annual Research Report
    • Int'l Joint Research

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Published: 2021-04-28   Modified: 2025-01-30  

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