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Frustrated Magnetism and Chiral Order

Research Project

Project/Area Number 14540357
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeSingle-year Grants
Section一般
Research Field 物性一般(含基礎論)
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)

Co-Investigator(Kenkyū-buntansha) YOSHINO Hajime  Osaka University Graduate School of Science, Assistant Professor, 大学院・理学研究科, 助手 (50335337)
Project Period (FY) 2002 – 2003
Project Status Completed (Fiscal Year 2003)
Budget Amount *help
¥3,200,000 (Direct Cost: ¥3,200,000)
Fiscal Year 2003: ¥1,100,000 (Direct Cost: ¥1,100,000)
Fiscal Year 2002: ¥2,100,000 (Direct Cost: ¥2,100,000)
Keywordschirality / frustration / spin glass / pyrochlore / Monte Carlo simulation / 相転移 / 遥動散逸定理 / ハイゼンベルグモデル
Research Abstract

Chirality is a degree of freedom representing the sense or the handedness of the local structure of the ordered state. In the field of molecular chemistry, it has long been an important concept in conjunction with the problem of stereo-isomer of a molecule. Recently, via recent active studies, it has become increasing clear that the chirality also plays a vital role in various materials in the field of statistical physics and condensed matter physics. This project was performed with the aim of theoretically clarifying the nature of the chirality ordering by using extensive numerical simulations. More specifically, we took up the spin-glass problem as well as the problem of geometrically frustrated magnets. Progress was achieved in the particular issues of, (I) off-equilibrium dynamics and the fluctuation-dissipation ratio of the Heisenberg spin glass, (II) ordering of Heisenberg-like spin glasses in magnetic fields, and (III) anomalous Hall effect as a probe of the chiral order in spin glasses and a scaling prediction to the experiment. The obtained results are consistent with the chirality theory of spin-glass transitions, and are receiving support from the recent experiments. In particular, the detection of the chiral order using a Hall probe might open up a new area in condensed-matter physics. We also found several novel ordering properties in the issue of, (iv) magnetic ordering of Heisenberg antiferromagnets on a pyrochlore lattice.

Report

(3 results)
  • 2003 Annual Research Report   Final Research Report Summary
  • 2002 Annual Research Report
  • Research Products

    (24 results)

All Other

All Publications (24 results)

  • [Publications] Daisuke Imagawa, Hikaru Kawamura: "Replica symmetry breaking transition of the weakly anisotropic Heisenberg spin glasses in magnetic fields"Phys.Rev.Letters. 92. 077204(1)-077204(4) (2004)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] Hikaru Kawamura: "Anomalous Hall effect as a probe of the chiral order in spin glasses"Phys.Rev.Letters. 90. 047202(1)-047202(4) (2003)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] Hikaru Kawamura: "Fluctuation-dissipation ratio of the Heisenberg spin glass"Phys.Rev.Letters. 90. 237201(1)-237201(4) (2003)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] Hikaru Kawamura, Hitoshi Yonehara: "Ordering of the Heisenberg spin glass in two dimensions"J.Phys.A. 36. 10867-10880 (2003)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] Daisuke Imagawa, Hikaru Kawamura: "Ordering of the Heisenberg spin glasses in high dimensions"Phys.Rev.B. 67. 224412(1)-224412(14) (2003)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] Hikaru Kawamura: "Vortex-glass order in strongly type-II superconductors"Phys.Rev.B. 68. 220502(R)-(1)-220502(R)-(4) (2003)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] Daisuke Imagawa, Hikaru Kawamura: "Replica symmetry breaking transition of the weakly anisotropic Heisenberg spin glasses in magnetic fields"Phys.Rev.Letters. 92. 077204(1-4) (2004)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] Hikaru Kawamura: "Anomalous Hall effect as a probe of the chiral order in spin glasses"Phys.Rev.Letters. 90. 047202(1-4) (2003)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] Hikaru Kawamura: "Fluctuation-dissipation ratio of the Heisenberg spin glass"Phys.Rev.Letters. 90. 237201(1-4) (2003)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] Hikaru Kawamuira, Hitoshi Yonehara: "Ordering of the Heisenberg spin glass in two dimensions"J.Phys.A. 36. 10867-10880 (2003)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] Daisuke Imagawa, Hikaru Kawamura: "Ordering of the Heisenberg spin glasses in high dimensions"Phys.Rev.B. 67. 224412(1-14) (2003)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] Hikaru Kawamura: "Vortex-glass order in strongly type-II superconductors"Phys.Rev.B. 68. 220502(R)(1-4) (2003)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] Daisuke Imagawa, Hikaru Kawamura: "Replica symmetry breaking transition of the weakly anisotropic Heisenberg sping glasses in magnetic fields"Phys.Rev.Letters. 92. 077204-1-077204-4 (2004)

    • Related Report
      2003 Annual Research Report
  • [Publications] Hikaru Kawamura: "Anomalous Hall effect as a probe of the chiral order in spin glasses"Phys.Rev.Letters. 90. 047202-1-047202-4 (2003)

    • Related Report
      2003 Annual Research Report
  • [Publications] Hikaru Kawamura: "Fluctuation-dissipation ratio of the Heisenberg spin glass"Phys.Rev.Letters. 90. 237201-1-237201-4 (2003)

    • Related Report
      2003 Annual Research Report
  • [Publications] Hikaru Kawamura, Hitoshi Yonehara: "Ordering of the Heisenberg spin glass in two dimensions"J.Phys.A. 36. 10867-10880 (2003)

    • Related Report
      2003 Annual Research Report
  • [Publications] Daisuke Imagawa, Hikaru Kawamura: "Ordering of the Heisenberg spin glasses in high dimensions"Phys.Rev.B. 67. 224412-1-224412-14 (2003)

    • Related Report
      2003 Annual Research Report
  • [Publications] Hikaru Kawamura: "Nature of the vortex-glass order in strongly type-II superconductors"Phys.Rev.B. 68. 220502(R)-1-220502(R)-4 (2003)

    • Related Report
      2003 Annual Research Report
  • [Publications] Hikaru Kawamura: "Chiral Kosterlitz-Thouless transition in the frustrated Heisenberg Antiferromagnet on a phrochlore slab"Phys.Rev.Letters. 88. 0772021-0772024 (2002)

    • Related Report
      2002 Annual Research Report
  • [Publications] Daisuke Imagawa: "Monte Carlo studies of the ordering of the three-dimensional isotropic Heisenberg spin glass in magnetic fields"J.Phys.Soc.Jpn.. 71. 127-140 (2002)

    • Related Report
      2002 Annual Research Report
  • [Publications] Gen Tatara: "Chirality driven anomalous Hall effect in weak coupling regime"J.Phys.Soc.Jpn.. 71. 2613-2616 (2002)

    • Related Report
      2002 Annual Research Report
  • [Publications] Toshiya Hikihara: "Ground-state phase diagram of frustrated anisotropic quantum spin chains"Prog.Theor.Phys.. 145(Suppl. ). 58-63 (2002)

    • Related Report
      2002 Annual Research Report
  • [Publications] Hikaru Kawamura: "Anomalous Hall effect as a probe of the chiral order in spin glasses"Phys.Rev.Letters. 90. 0472021-0472024 (2003)

    • Related Report
      2002 Annual Research Report
  • [Publications] Hikaru Kawamura: "Nature of the vortex-glass order in the type-II limit"Physica C. (in press).

    • Related Report
      2002 Annual Research Report

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Published: 2002-04-01   Modified: 2016-04-21  

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