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Partially Disorered Dipole-and Staggered Quadrupole-Ordering in Spin Systems with Competing Interactions

Research Project

Project/Area Number 14540359
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 InstitutionKyushu University

Principal Investigator

IDOGAKI Toshihiro  Kyushu University, Faculty of Engineering, Prof., 大学院・工学研究院, 教授 (40038013)

Co-Investigator(Kenkyū-buntansha) TAKEDA Kazuyoshi  Kyushu University, Faculty of Engineering, Prof., 大学院・工学研究院, 教授 (10029548)
MURAOKA Yoahinori  Ariake National College of Technology, Assoc. Prof., 助教授 (60229953)
TANAKA Akinori  Kyushu University, Faculty of Engineering, Research Assoc., 大学院・工学研究院, 助手 (80274512)
KAWAE Ttsuya  Kyushu University, Faculty of Engineering, Assoc. Prof., 大学院・工学研究院, 助教授 (30253503)
Project Period (FY) 2002 – 2003
Project Status Completed (Fiscal Year 2003)
Budget Amount *help
¥2,800,000 (Direct Cost: ¥2,800,000)
Fiscal Year 2003: ¥1,000,000 (Direct Cost: ¥1,000,000)
Fiscal Year 2002: ¥1,800,000 (Direct Cost: ¥1,800,000)
KeywordsCompeting Spin System / Dipole / Quadrupole / Partially Disorered Phase / Staggered Ordering
Research Abstract

In the present study, we performed through and systematic investigations of the stability and the physical origin of characteristic types of dipole and/or quadrupole orderings in the systems with frustration inducing bilinear and/or biquadratic exchange interactions.
Main results are as follows ;
1)For bilinear-biquadratic exchange ± J Ising model, we performed the non-equilibrium relaxation MC calculation and clarified that randomness weakens the re-enntrant phenomena of ferromagnetic dipole ordering but not affects on the ataggered quadrupole ordering. The critical exponents depend (not depend) on the randomeness for the dipole (quadrupole) ordering.
2)In order to discuss the partially disordered states in the axial next nearest neighbor Ising (ANNNI) model, we proposed two extended models, i.e. (i) intralayer exchang alternating model and (ii) mixed spin model. By using standard MC and site dependent molecular field calculation, for both models we confirmed the stability of partially disordered states and the importance of entropy contribution for occurence of the partially disordered states.
3)We have investigated the effects of the biquadratic interactions on 3D classical plane rotator model with stacked triangular lattice geometry by use of histogram MC simulation methods. We obtained complete magnetic phase diagrams for the system, and clarified the nature of appearing various pahases including incommensurate-or chiral dipole (quadrupole) ordering, etc.

Report

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

    (22 results)

All Other

All Publications (22 results)

  • [Publications] M.Zukovic et al.: "Histogram Monte Carlo Simulation of the Geometrically Frustrated XY Antiferromagnet with Biquadratic Exchange"Physical Review B. Vol.56. 1444101-1444108 (2002)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] Y.Miyaoshi et al.: "Non-Equilibrium Relaxation Study of the ±J Ising Model with Biquadratic Exchange Interaction"Journal of Magnetism and Magnetic Materials. Vol.248. 318-331 (2002)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] Y.Muraoka et al.: "Partially Disordered Phase in the Three-Dimensional ANNNI Model with Alternating Intralayer Interactions"Physical Review B. Vol.66. 0644271-0644276 (2002)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] K.Tanaka, T.Idogaki: "Long Range Order in the Ground State of the Spin System with Orbital Degeneracy"Physical Review B. Vol.66. 1344261-13442613 (2002)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] M.Zukovic, T.Idogaki: "Critical Behavior of a Three-Dimensional Plane Rotator with Frustration Inducing Higher Order Interactions"Physica B. Vol.328. 377-385 (2003)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] M.Zukovic, T.Idogaki, K.Takeda: "Histogram Monte Carlo Simulation of the Geometrically Frustrated XY Antiferromagnet with Biquadratic Exchange"Physical Review B. Vol.56. 1444101-1444108 (2002)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] Y.Miyoshi, T.Idogak: "Non-Equilibrium Relaxation Study of the ± J Ising Model with Biquadratic Exchange Interaction"Journal of Magnetism and Magnetic Materials. Vol.248. 318-331 (2002)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] Y.Muraoka, T.Kasama, T.Shimamoto, K.Okada, T.Idogaki: "Partially Disorered Phases in the Three-Dimensional ANNNI Model with Alternating Intralayer Interactions"Physical Review B. Vol.66. 0644271-0355276 (2002)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] K.Tanaka, T.Idogaki: "Long Range Order in the Ground State of the Spin Syaytem with Orbital Degeneracy"Physical Review B. Vol.66. 134426(1)-134426(13) (2002)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] M.Zukovic, T.Idogaki: "Critical Behavior of a Three-dimensional Plane Rotator with Frustration Inducing Higher Order Interactions"Physica B. Vol.328. 377-385 (2003)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] M.Zukovic et al.: "Histogram Monte Carlo Simulation of the Geometrically Frustrated XY Antiferromagnet with Biquadratic Exchange"Physical Review B. Vol.56. 1444101-1444108 (2002)

    • Related Report
      2003 Annual Research Report
  • [Publications] Y.Miyoshi, T.Idogaki: "Non-Equilibrium Relaxation Study of the ±J Iisng Model with Biquadratic Exchange Interaction"Journal of Magnetism and Magnetic Materials. Vol.248. 318-331 (2002)

    • Related Report
      2003 Annual Research Report
  • [Publications] T.Kawae et al.: "La Impurity Effect on Quadrupolar Ordering in PrPb_3"Physical Review B. Vol.65. 0124091-0124094 (2002)

    • Related Report
      2003 Annual Research Report
  • [Publications] Y.Muraoka et al.: "Partially Disordered Phase in the Three-Dimensional ANNNI model with Alternating Intralayer Interactions"Physical Review B. Vol.66. 0644271-0644276 (2002)

    • Related Report
      2003 Annual Research Report
  • [Publications] K.Tanaka, T.Idogaki: "Long Range Order in the Ground State of the Spin System with Orbital Degeneracy"Physical review B. Vol.66. 1344261-13442613 (2002)

    • Related Report
      2003 Annual Research Report
  • [Publications] M.Zukovic, T.Idogaki: "Critical Behavior of a Three-Dimensional Plane Rotator with Frustration Inducing Higher Order Interactions"Physica B. Vol.328. 377-385 (2003)

    • Related Report
      2003 Annual Research Report
  • [Publications] M.Zukovic et al.: "Histogram Monte Carlo Simulation of the Geometrically Frustrated XY Antiferromagnet with Biquadratic Exchange"Physical Review B. 65. 144410(1)-144410(8) (2002)

    • Related Report
      2002 Annual Research Report
  • [Publications] Y.Miyoshi et al.: "Non-EquilibriumRelaxation Study of the ±J Ising Model with Biquadratic Exchange Interaction"Journal of Magnetism and Magnetic Materials. 248. 318-331 (2002)

    • Related Report
      2002 Annual Research Report
  • [Publications] Y.Muraoka et al.: "Partially Disordered Phases in the Three-Dimensional ANNNI Model with Alternating Interlayer Interactions"Physical Review B. 66. 064427(1)-064427(6) (2002)

    • Related Report
      2002 Annual Research Report
  • [Publications] K.Tanaka et al.: "Long Range Order in the Ground State of the Spin Systems with Orbital Degeneracy"Physical Review B. 66. 134426(1)-134426(13) (2002)

    • Related Report
      2002 Annual Research Report
  • [Publications] T.Kasama et al.: "Partially Disordered States of the Three-Dimensional ANNNI Model"Physica B. (in press).

    • Related Report
      2002 Annual Research Report
  • [Publications] K.Tanaka et al.: "Absence of the Ferro-Quadrupole Ordering at Zero Temperature in One Dimension"Physica B. (in press).

    • Related Report
      2002 Annual Research Report

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

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