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A first-principles study on the de Haas van Alphen effect in the superconducting vortex state

Research Project

Project/Area Number 18K03510
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeMulti-year Fund
Section一般
Review Section Basic Section 13030:Magnetism, superconductivity and strongly correlated systems-related
Research InstitutionShinshu University

Principal Investigator

Higuchi Masahiko  信州大学, 学術研究院理学系, 教授 (10292202)

Co-Investigator(Kenkyū-buntansha) 樋口 克彦  広島大学, 先進理工系科学研究科(先), 准教授 (20325145)
Project Period (FY) 2018-04-01 – 2022-03-31
Project Status Completed (Fiscal Year 2021)
Budget Amount *help
¥3,250,000 (Direct Cost: ¥2,500,000、Indirect Cost: ¥750,000)
Fiscal Year 2021: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2020: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2019: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2018: ¥520,000 (Direct Cost: ¥400,000、Indirect Cost: ¥120,000)
Keywords超伝導電流スピン密度汎関数理論 / 超伝導渦糸状態 / ギャップ方程式 / 超伝導臨界磁場 / 超伝導転移温度 / 磁場侵入長 / 磁場を含んだ相対論的強束縛近似法 / 非摂動論的MFRTB法 / 超伝導対密度汎関数理論 / クラスター分解原理 / dHvA効果 / 磁場下超伝導体 / エントロピー汎関数 / 電流スピン密度汎関数理論 / 臨界磁場 / 転移温度 / MFRTB法 / グラフェン / 動的電流密度汎関数理論 / 超伝導混合状態 / 非摂動論的 / ドハース‐ファンアルフェン効果 / 超伝導 / 混合状態 / 電流スピン密度班関数理論
Outline of Final Research Achievements

In the present research subject, the current- and spin-density functional theory for the superconducting vortex state (SC-CSDFT) is developed. An approximate form of the exchange-correlation energy functional of SC-CSDFT is also proposed. Furthermore, the magnetic-field-containing relativistic tight-binding approximation method (MFRTB method), which was previously developed by the authors, is improved for the purpose of solving an effective single-particle equation of SC-CSDFT.
As the first step toward first-principles description of the dHvA effect of the superconducting vortex state, we discuss the possibility of the quantum oscillation of the magnetization in the material with no Fermi surface, i.e., band insulator. Specifically, we calculate the quantum oscillation of the magnetization for the crystalline silicon using the MFRTB method.

Academic Significance and Societal Importance of the Research Achievements

超伝導渦糸状態のdHvA効果を第一原理的に解明することは,第一原理理論および計算手法の開発が難しく遅々として進んできませんでした。本研究で開発した理論・計算手法はこの状況を打破するものですが,これらは著者らが独自に開発してきた第一原理計算手法が基礎となっています。つまり,著者が世界に先駆けて初めて着手した研究課題と言えます。今回得られた研究成果は,超伝導渦糸状態を含めた超伝導現象の第一原理的な理解のベース(基礎)になるものと期待されます。

Report

(5 results)
  • 2021 Annual Research Report   Final Research Report ( PDF )
  • 2020 Research-status Report
  • 2019 Research-status Report
  • 2018 Research-status Report
  • Research Products

    (17 results)

All 2021 2020 2019 2018 Other

All Int'l Joint Research (4 results) Journal Article (9 results) (of which Int'l Joint Research: 3 results,  Peer Reviewed: 9 results,  Open Access: 1 results) Presentation (4 results) (of which Int'l Joint Research: 4 results,  Invited: 2 results)

  • [Int'l Joint Research] Kathmandu University(ネパール)

    • Related Report
      2021 Annual Research Report
  • [Int'l Joint Research] Kathmandu University(ネパール)

    • Related Report
      2020 Research-status Report
  • [Int'l Joint Research] Kathmandu University(ネパール)

    • Related Report
      2019 Research-status Report
  • [Int'l Joint Research] Kathmandu University(ネパール)

    • Related Report
      2018 Research-status Report
  • [Journal Article] Reduction of G-factor due to Rashba Effect in Graphene2021

    • Author(s)
      A. Shrestha, K. Higuchi, S. Yoshida, and M. Higuchi
    • Journal Title

      J. Appl. Phys.

      Volume: 130 Issue: 12

    • DOI

      10.1063/5.0057559

    • Related Report
      2021 Annual Research Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] Superconducting gap and attractive interaction between electrons investigated by the current-density functional theory for superconductors2021

    • Author(s)
      K. Higuchi, N. Matsumoto, Y. Kamijo and M. Higuchi
    • Journal Title

      J. Phys.: Condens. Matter

      Volume: 33 Issue: 43 Pages: 435602-435602

    • DOI

      10.1088/1361-648x/ac1967

    • Related Report
      2021 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Cluster decomposition principle and two-electron wave function of the Cooper pair in the BCS superconducting state2021

    • Author(s)
      K. Higuchi and M. Higuchi
    • Journal Title

      J. Phys. Commun.

      Volume: 5 Issue: 9 Pages: 095003-095003

    • DOI

      10.1088/2399-6528/ac1e40

    • Related Report
      2021 Annual Research Report
    • Peer Reviewed / Open Access
  • [Journal Article] A Calculation Scheme for the Pair-Density Functional Theory for the Superconductor2020

    • Author(s)
      K. Higuchi and M. Higuchi
    • Journal Title

      JPS Conf.

      Volume: 30

    • DOI

      10.7566/jpscp.30.011006

    • Related Report
      2020 Research-status Report
    • Peer Reviewed
  • [Journal Article] Magnetic field and temperature dependence of the superconducting gap through current-density functional theory for superconductors2020

    • Author(s)
      K. Higuchi, N. Matsumoto, Y. Kamijo and M. Higuchi
    • Journal Title

      Phys. Rev. B

      Volume: 102 Issue: 1

    • DOI

      10.1103/physrevb.102.014515

    • Related Report
      2020 Research-status Report
    • Peer Reviewed
  • [Journal Article] Reduced effective g-factor in graphene2019

    • Author(s)
      M. Higuchi, D. B. Hamal, A. Shrestha and K. Higuchi
    • Journal Title

      J. Phys. Soc. Jpn.

      Volume: 88 Issue: 9 Pages: 094707-094707

    • DOI

      10.7566/jpsj.88.094707

    • NAID

      40022008774

    • Related Report
      2019 Research-status Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] Time-Dependent Current-Density Functional Theory Taking into Consideration the Effect of the Energy Dissipation2019

    • Author(s)
      K. Higuchi, Y. Fujie, H. Shimizu and M. Higuchi
    • Journal Title

      Phys. Rev. A

      Volume: 100 Issue: 6

    • DOI

      10.1103/physreva.100.062503

    • NAID

      130008156401

    • Related Report
      2019 Research-status Report
    • Peer Reviewed
  • [Journal Article] Renormalized Møller-Plesset Correlation Energy Functional Used in the Optimized Effective Potential Method2018

    • Author(s)
      M. Kodera, M. Miyasita, K. Higuchi and M. Higuchi
    • Journal Title

      J. Phys. Soc. Jpn.

      Volume: 87 Issue: 1 Pages: 014302-014302

    • DOI

      10.7566/jpsj.87.014302

    • NAID

      210000134667

    • Related Report
      2018 Research-status Report
    • Peer Reviewed
  • [Journal Article] Nonperturbative description of the butterfly diagram of energy spectra for materials immersed in a magnetic field2018

    • Author(s)
      K. Higuchi, D. B. Hamal, and M. Higuchi
    • Journal Title

      Phys. Rev. B

      Volume: 97 Issue: 19

    • DOI

      10.1103/physrevb.97.195135

    • Related Report
      2018 Research-status Report
    • Peer Reviewed / Int'l Joint Research
  • [Presentation] Density Functional Scheme for Calculating the Fluctuation of the Electron Number in the Superconductor2019

    • Author(s)
      M. Higuchi and K. Higuchi
    • Organizer
      Asia Pacific Society for Material Research (APSMR) 2019 Annual Meeting
    • Related Report
      2019 Research-status Report
    • Int'l Joint Research / Invited
  • [Presentation] A Calculation Scheme for the Pair-Density Functional Theory for the Superconductor2019

    • Author(s)
      K. Higuchi and M. Higuchi
    • Organizer
      International Conference on Strongly Correlated Electron Systems 2019
    • Related Report
      2019 Research-status Report
    • Int'l Joint Research
  • [Presentation] Magnetic properties of graphene investigated by the nonperturbative MFRTB method2019

    • Author(s)
      K. Higuchi, A. Shrestha, D. B. Hamal and M. Higuchi
    • Organizer
      Asia Pacific Society for Material Research (APSMR) 2019 Annual Meeting
    • Related Report
      2019 Research-status Report
    • Int'l Joint Research / Invited
  • [Presentation] Nonperturbative description of the energy spectra for materials immersed in a magnetic field2018

    • Author(s)
      K. Higuchi, D. B. Hamal and M. Higuchi
    • Organizer
      The 16th International Conference on Megagauss Magnetic field generation and Related Topics
    • Related Report
      2018 Research-status Report
    • Int'l Joint Research

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Published: 2018-04-23   Modified: 2023-01-30  

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