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Magnetic ordering and slow dynamics of frustrated systems

Research Project

Project/Area Number 16540341
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeSingle-year Grants
Section一般
Research Field Mathematical physics/Fundamental condensed matter physics
Research InstitutionOsaka University

Principal Investigator

KAWAMURA Hikaru  Osaka University, Graduate School of Science, Professor, 大学院・理学研究科, 教授 (30153018)

Project Period (FY) 2004 – 2005
Project Status Completed (Fiscal Year 2005)
Budget Amount *help
¥3,600,000 (Direct Cost: ¥3,600,000)
Fiscal Year 2005: ¥1,100,000 (Direct Cost: ¥1,100,000)
Fiscal Year 2004: ¥2,500,000 (Direct Cost: ¥2,500,000)
Keywordsfrustration / spin glass / chirality / pyrochlore / spin-chirality decoupling / chiral glass / スピン-カイライリティ分離 / モンテカルロシミュレーション / レプリカ対称性の破れ
Research Abstract

Magnetic ordering and slow dynamics of frustrated magnets have been studied theoretically and numerically mainly for spin glasses. Particular attention was paid to the "chirality", a quantity of recent theoretical and experimental interest. We examined whether the peculiar behavior of the "spin-chirality decoupling" proposed recently really occurred or not, as well as various off-equilibrium phenomena induced by the chirality such as the violation of the fluctuation-dissipation relation. We performed a large scale Monte Carlo simulation of the 3D Heisenberg Edward-Anderson model, and have revealed the existence of a finite-temperature chiral-glass transition and of the spin-chirality decoupling phenomenon at long length and time scales, as predicted by the present author. It was also found that the peculiar one-step-like replica-symmetry breaking (RSB) occurred in the chiral-glass ordered state. In magnetic fields, this RSB gives rise to a thermodynamic SQ transition even in fields, which consistently explains the long-standing experimental puzzle for the in-field behavior of canonical spin glasses. The peculiar RSB pattern was indeed observed by means of off-equilibrium simulations of spin glasses via the violation of the fluctuation-dissipation theorem.

Report

(3 results)
  • 2005 Annual Research Report   Final Research Report Summary
  • 2004 Annual Research Report
  • Research Products

    (19 results)

All 2006 2005 2004

All Journal Article (19 results)

  • [Journal Article] トポロジーからの相転移2006

    • Author(s)
      川村光
    • Journal Title

      数理科学 44・2

      Pages: 30-35

    • Related Report
      2005 Annual Research Report
  • [Journal Article] Numerical studies of the ordering of the ± J XY spin-glass ladder2005

    • Author(s)
      Tsukasa Uda, Hajime Yoshino, Hikaru Kawamura
    • Journal Title

      Phys. Rev. B 72

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] Monte Carlo simulations of the phase transition of the three-dimensional isotropic Heisenberg spin glass2005

    • Author(s)
      Koji Hukushima, Hikaru Kawamura
    • Journal Title

      Phys. Rev. B 72

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] Nature of the ordering of three-dimensional Heisenberg spin glasses2005

    • Author(s)
      Koji Hukushima, Hikaru Kawamura
    • Journal Title

      Prog. Theor. Phys. Suppl. 157

      Pages: 46-49

    • NAID

      110001275977

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] Correlation length of the Heisenberg ferromagnet in 2 and 3 dimensions2005

    • Author(s)
      D.X.Viet, H.Kawamura
    • Journal Title

      Frontiers of Basic Science

      Pages: 225-226

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] Numerical studies of the ordering of the ±J XY spin-glass ladder2005

    • Author(s)
      Tsukasa Uda, Hajime Yoshino, Hikaru Kawamura
    • Journal Title

      Phys.Rev.B 72

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] Monte Carlo simulations of the phase transition of the three-dimensional isotropic Heisenberg spin glass2005

    • Author(s)
      Koji Hukushima, Hikaru Kawamura
    • Journal Title

      Phys.Rev.B 72

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] Nature of the ordering of three-dimensional Heisenberg spin glasses2005

    • Author(s)
      Koji Hukushima, Hikaru Kawamura
    • Journal Title

      Prog.Theor.Phys.Suppl 157

      Pages: 46-49

    • NAID

      110001275977

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] Numerical studies of the ordering of the ±J XY spin-glass ladder2005

    • Author(s)
      Tsukasa Uda, Hajime Yoshino, Hikaru Kawamura
    • Journal Title

      Physical Review B 72

    • Related Report
      2005 Annual Research Report
  • [Journal Article] Monte Carlo simulations of the phase transition of the three-dimensional isotropic Heisenberg spin glass2005

    • Author(s)
      Koji Hukushima, Hikaru Kawamura
    • Journal Title

      Physical Review B 72

    • Related Report
      2005 Annual Research Report
  • [Journal Article] Nature of the ordering of three-dimensional Heisenberg spin glasses2005

    • Author(s)
      Koji Hukushima, Hikaru Kawamura
    • Journal Title

      Prog.Theor.Phys.Suppl. 157

      Pages: 46-49

    • NAID

      110001275977

    • Related Report
      2005 Annual Research Report
  • [Journal Article] Exact Analysis Based on Gauge Transformation in Spin-Glass Research2005

    • Author(s)
      Hikaru Kawamura
    • Journal Title

      JPSJ Online-News and Comments Jan.15

    • Related Report
      2005 Annual Research Report
  • [Journal Article] Replica symmetry breaking transition of the weakly anisotropic Heisenberg spin glasses in magnetic fields2004

    • Author(s)
      Daisuke Imagawa, Hikaru Kawamura
    • Journal Title

      Phys. Rev. Letters 92

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] Fluctuation-dissipation ratio of the Heisenberg spin glass2004

    • Author(s)
      Hikaru Kawamura
    • Journal Title

      J. Mag. Mag. Mater 272-276

      Pages: 1278-1279

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] Replica symmetry breaking transition of the weakly anisotropic Heisenberg spin glasses inmagnetic fields2004

    • Author(s)
      Daisuke Imagawa, Hikaru Kawamura
    • Journal Title

      Phys.Rev.Letters 92

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] Fluctuation-dissipation ratio of the Heisenberg-spin glass2004

    • Author(s)
      Hikaru Kawamura
    • Journal Title

      J.Mag.Mag.Mater 272-276

      Pages: 1278-1279

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] Replica symmetry breaking transition of the weakly anisotropic Heisenberg sping glasses in magnetic fields2004

    • Author(s)
      Daisuke Imagawa, Hikaru Kawamura
    • Journal Title

      Phys.Rev.Letters 92

    • Related Report
      2004 Annual Research Report
  • [Journal Article] Fluctuation-dissipation ratio of the Heisenberg spin glass2004

    • Author(s)
      Hikaru Kawamura
    • Journal Title

      J.Mag.Mag.Mater. 272-276

      Pages: 1278-1279

    • Related Report
      2004 Annual Research Report
  • [Journal Article] Monte Carlo study of the ordering of the weakly anisotropic Heisenberg spin glass in magnetic fields2004

    • Author(s)
      Daisuke Imagawa, Hikaru Kawamura
    • Journal Title

      Phys.Rev.B 70

    • Related Report
      2004 Annual Research Report

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Published: 2004-04-01   Modified: 2016-04-21  

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