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Variational theory for the competition between the heavy fermion state and magnetically ordered states

Research Project

Project/Area Number 15K05191
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeMulti-year Fund
Section一般
Research Field Condensed matter physics II
Research InstitutionJapan Atomic Energy Agency

Principal Investigator

KUBO Katsunori  国立研究開発法人日本原子力研究開発機構, 原子力科学研究部門 原子力科学研究所 先端基礎研究センター, 研究副主幹 (50391272)

Project Period (FY) 2015-04-01 – 2019-03-31
Project Status Completed (Fiscal Year 2018)
Budget Amount *help
¥4,810,000 (Direct Cost: ¥3,700,000、Indirect Cost: ¥1,110,000)
Fiscal Year 2018: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000)
Fiscal Year 2017: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2016: ¥1,950,000 (Direct Cost: ¥1,500,000、Indirect Cost: ¥450,000)
Fiscal Year 2015: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Keywords重い電子系 / リフシッツ転移 / 変分モンテカルロ法 / 非クラマース二重項 / 超伝導 / 四極子秩序 / 非クラマース系 / 多極子 / 強相関電子系 / 物性理論 / 強磁性 / フェルミ面
Outline of Final Research Achievements

We have applied a variational Monte Carlo method to the ferromagnetic and antiferromagnetic states of the periodic Anderson model. We have found that the Lifshitz transitions, which can occur in both magnetic phases, can be regarded as localized-itinerant transitions of f electrons. We have also revised the variational wavefunction and succeeded in lowering energy. Then, the region of the normal phase extends, and, as a result, the effective mass in the normal phase can become large. For the non-Kramers doublet systems, we investigated multipole interactions and found that these interactions depend strongly on the lattice structure. For the non-Kramers doublet systems, we have also studied the superconductivity, and found d-wave superconductivity originating from the orbital anisotropy.

Academic Significance and Societal Importance of the Research Achievements

重い電子系の典型的なモデルとして研究されてきた周期アンダーソンモデルは、常磁性状態を仮定すれば確かに重い電子状態が得られるが、磁気秩序状態まで考慮すると有効質量が大きくなる前に磁気秩序を起こしてしまい、重い電子状態が記述できないのではないかという懸念が持たれていた。しかし、本研究によって波動関数を改良することによって、常磁性状態の安定性が増すことがわかり、周期アンダーソンモデルを重い電子系を記述する模型として用いる正当性が示された。これは重い電子系の理論分野における学術的意義は大きい。

Report

(5 results)
  • 2018 Annual Research Report   Final Research Report ( PDF )
  • 2017 Research-status Report
  • 2016 Research-status Report
  • 2015 Research-status Report
  • Research Products

    (19 results)

All 2018 2017 2016 2015 Other

All Journal Article (7 results) (of which Peer Reviewed: 7 results,  Open Access: 3 results,  Acknowledgement Compliant: 4 results) Presentation (9 results) (of which Int'l Joint Research: 5 results,  Invited: 1 results) Remarks (3 results)

  • [Journal Article] Anisotropic Superconductivity Emerging from the Orbital Degrees of Freedom in a Γ3 Non-Kramers Doublet System2018

    • Author(s)
      Kubo Katsunori
    • Journal Title

      Journal of the Physical Society of Japan

      Volume: 87 Issue: 7 Pages: 073701-073701

    • DOI

      10.7566/jpsj.87.073701

    • NAID

      210000134880

    • Related Report
      2018 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Superconductivity in a multiorbital model for the Γ3 crystalline electric field state2018

    • Author(s)
      Kubo Katsunori
    • Journal Title

      AIP Advances

      Volume: 8 Issue: 10 Pages: 101313-101313

    • DOI

      10.1063/1.5042276

    • Related Report
      2018 Annual Research Report
    • Peer Reviewed / Open Access
  • [Journal Article] Multipole interactions of Γ3 non-Kramers doublet systems on cubic lattices2018

    • Author(s)
      Kubo Katsunori、Hotta Takashi
    • Journal Title

      Journal of Physics: Conference Series

      Volume: 969 Pages: 012096-012096

    • DOI

      10.1088/1742-6596/969/1/012096

    • Related Report
      2018 Annual Research Report
    • Peer Reviewed / Open Access
  • [Journal Article] Variational Wavefunction for the Periodic Anderson Model with Onsite Correlation Factors2017

    • Author(s)
      K. Kubo and H. Onishi
    • Journal Title

      Journal of the Physical Society of Japan

      Volume: 86 Issue: 1 Pages: 013701-013701

    • DOI

      10.7566/jpsj.86.013701

    • NAID

      40021057621

    • Related Report
      2016 Research-status Report
    • Peer Reviewed / Acknowledgement Compliant
  • [Journal Article] Influence of lattice structure on multipole interactions in Γ3 non-Kramers doublet systems2017

    • Author(s)
      Katsunori Kubo, Takashi Hotta
    • Journal Title

      Phys. Rev. B

      Volume: 95 Issue: 5 Pages: 054425-054425

    • DOI

      10.1103/physrevb.95.054425

    • Related Report
      2016 Research-status Report
    • Peer Reviewed / Acknowledgement Compliant
  • [Journal Article] Lifshitz Transitions in Magnetic Phases of the Periodic Anderson Model2015

    • Author(s)
      K. Kubo
    • Journal Title

      Journal of the Physical Society of Japan

      Volume: 84 Issue: 9 Pages: 094702-094702

    • DOI

      10.7566/jpsj.84.094702

    • NAID

      40020588287

    • Related Report
      2015 Research-status Report
    • Peer Reviewed / Acknowledgement Compliant
  • [Journal Article] Itinerant-Localized Transitions in Magnetic Phases of the Periodic Anderson Model2015

    • Author(s)
      K. Kubo
    • Journal Title

      Physics Procedia

      Volume: 75 Pages: 214-220

    • DOI

      10.1016/j.phpro.2015.12.027

    • Related Report
      2015 Research-status Report
    • Peer Reviewed / Open Access / Acknowledgement Compliant
  • [Presentation] Superconductivity in a Multiorbital Model for the Γ3 Crystalline Electric Field State2018

    • Author(s)
      K. Kubo
    • Organizer
      International Conference on Magnetism (ICM2018)
    • Related Report
      2018 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Superconductivity in an f2 System with the Gamma3 Crystalline Electric Field Ground State2018

    • Author(s)
      K. Kubo
    • Organizer
      The 21st International Conference on Solid Compounds of Transition Elements (SCTE '18)
    • Related Report
      2017 Research-status Report
    • Int'l Joint Research
  • [Presentation] 非クラマース二重項系の多極子相互作用2017

    • Author(s)
      久保勝規、堀田貴嗣
    • Organizer
      日本物理学会 第72回年次大会
    • Place of Presentation
      大阪大学 (大阪府豊中市)
    • Year and Date
      2017-03-19
    • Related Report
      2016 Research-status Report
  • [Presentation] Multipole interactions of Gamma3 non-Kramers doublet systems on cubic lattices2017

    • Author(s)
      K. Kubo and T. Hotta
    • Organizer
      Physics of Uranium based Unconventional Superconductors (satellite workshop of J-Physics 2017)
    • Related Report
      2017 Research-status Report
    • Int'l Joint Research
  • [Presentation] Multipole interactions of Gamma3 non-Kramers doublet systems on cubic lattices2017

    • Author(s)
      K. Kubo and T. Hotta
    • Organizer
      28th International Conference on Low Temperature Physics (LT28)
    • Related Report
      2017 Research-status Report
    • Int'l Joint Research
  • [Presentation] 周期アンダーソンモデルの磁性相におけるリフシッツ転移2016

    • Author(s)
      久保勝規
    • Organizer
      TMUシンポジウム「U系およびBiS2系の物理の最近の発展」
    • Place of Presentation
      首都大学東京 (東京都八王子市)
    • Year and Date
      2016-11-28
    • Related Report
      2016 Research-status Report
    • Invited
  • [Presentation] 周期アンダーソンモデルに対する変分波動関数の改良2016

    • Author(s)
      久保勝規、大西弘明
    • Organizer
      日本物理学会 2016年秋季大会
    • Place of Presentation
      金沢大学 (石川県金沢市)
    • Year and Date
      2016-09-16
    • Related Report
      2016 Research-status Report
  • [Presentation] 周期アンダーソンモデルの磁性相におけるリフシッツ転移2015

    • Author(s)
      久保勝規
    • Organizer
      琉球物性研究会
    • Place of Presentation
      琉球大学 (沖縄県中頭郡西原町)
    • Year and Date
      2015-11-28
    • Related Report
      2015 Research-status Report
  • [Presentation] Itinerant-Localized Transitions in Magnetic Phases of the Periodic Anderson Model2015

    • Author(s)
      K. Kubo
    • Organizer
      International Conference on Magnetism
    • Place of Presentation
      Barcelona (Spain)
    • Year and Date
      2015-07-07
    • Related Report
      2015 Research-status Report
    • Int'l Joint Research
  • [Remarks] 論文リスト

    • URL

      https://asrc.jaea.go.jp/soshiki/gr/MatPhysHeavyElements/PersonalPages/kubo/publication.html

    • Related Report
      2018 Annual Research Report
  • [Remarks] 論文リスト

    • URL

      http://asrc.jaea.go.jp/soshiki/gr/MatPhysHeavyElements/PersonalPages/kubo/publication.html

    • Related Report
      2017 Research-status Report 2016 Research-status Report
  • [Remarks] Publications

    • URL

      http://asrc.jaea.go.jp/soshiki/gr/MatPhysHeavyElements/PersonalPages/kubo/publication.html

    • Related Report
      2015 Research-status Report

URL: 

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

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