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Ordering and Dynamics of Multipolar Moments

Research Project

Project/Area Number 13640381
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 InstitutionKobe University

Principal Investigator

SHIBA Hiroyuki  Faculty of Science, Professor, 理学部, 教授 (30028196)

Project Period (FY) 2001 – 2002
Project Status Completed (Fiscal Year 2002)
Budget Amount *help
¥1,400,000 (Direct Cost: ¥1,400,000)
Fiscal Year 2002: ¥500,000 (Direct Cost: ¥500,000)
Fiscal Year 2001: ¥900,000 (Direct Cost: ¥900,000)
Keywordscharge ordering / quadrupolar order / octupolar order / multipolar moment / neutron scattering / CeB_6 / Yb_4As_3 / NpO_2 / CeB6 / Yb4As3 / 八重極モーメント / 磁場誘起ギャップ / 軌道秩序 / 多重極モーメ
Research Abstract

The main results in this project are as follows.
The charge ordering may be viewed as the zeroth-order multipolar ordering. From this viewpoint we studied the charge ordering of Yb4As3, in which one-dimensional chains of Yb^<3+> ions are formed. We have carefully derived a low-energy effective Hamiltonian to describe the one-dimensional chain. As a result, we have succeeded in showing the presence of Dzyloshinksy-Moriya term due to the unique structure of this material. Moreover, the nature of the excitation spectrum in the chain has been studied in detail and compared with available neutron-scattering experiments.
The most important problem in this project was to study multipolar dynamics in quadrupolar order phase of CeB6. The equilibrium properties of the quadrupolar order were studied by us before. Under this project we extended our study for dynamics, which can be explored experimentally by applying the magnetic field and by using neutron scattering. In fact A. Bouvet carried out such an experiment 10 years ago in his Ph. D. thesis. Because of lack of any reliable theory at that time his experimental results have not been seriously analyzed. According to our theory field-induced staggered octupolar moments are important in CeB6. We have compared our theory with Bouvet's experiment and have achieved a good agreement.
As a third topic, we studied in general materials having Γ8 crystal-field ground state. They include TmTe and NpO2. In such systems multipolar moments beyond quadrupolar ones are crucial. We have studied interactions between multipolar moments using the symmetry of the crystal structure. In addition we have examined field-induced antiferromagnetic moments in TmTe and have explained some of the features observed in experiment.

Report

(3 results)
  • 2002 Annual Research Report   Final Research Report Summary
  • 2001 Annual Research Report
  • Research Products

    (18 results)

All Other

All Publications (18 results)

  • [Publications] Seizo Watarai: "Entropy Effect on the Magnetization Process of Hexagonal XY-like Heisenberg Antiferromagnets"Journal of Physical Society of Japan. 70. 532-537 (2001)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] Hiroyuki Shiba: "Structure, Effective Hamiltonian and Magnetic Excitation Spectrum in Charge-Ordered Yb_4As_3"Proceedings of French -Japanese Symposium on Quantum Properties of Low-Dim Antiferromagnetic. 183-190 (2002)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] Hiroyuki Shiba: "Theory of Field-Induced Gap Formation in Charge-Ordered Yb_4As_3"Physica B. 312-313. 309-314 (2002)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] Ryousuke Shiiba: "Dynamics of Multiples and Neutron Scattering Spectra in Quadrupolar Ordering Phase of CeB_6"Journal of Physical Society of Japan. 72(No.5に出版予定). (2003)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] Osamu Sakai: "Invariant Form of Multipolar Interactions and Relation between Antiferro-Quadrupolar Order and Field-Induced Magnetic Moments"Journal of Physical Society of Japan. 72(No.5に出版予定). (2003)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] 斯波弘行: "電子相関の物理"岩波書店. 198 (2001)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] Seizo Watarai: "Entropy Effect on the Magnetization Process of Hexagonal XY-like Heisenberg Antiferromagnets"J. Phys. Soc. Jpn.. 70. 532-537 (2001)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] Hiroyuki Shiba: "Theory of Field-Induced Gap Formation in Charge-Ordered Yb4As3"Physics B. 312-313. 309-314 (2002)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] Ryousuke Shiina: "Dynamics of Multipoles and neutron Scattering Spectra in Quadrupolar Ordering Phase of CeB6"J. Phys. Soc. Jpn.. 72, No. 5, (in press). (2003)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] Osamu Sakai: "Invariant Form of Multipolar Interactions and Relation between Antiferro-quadrupolar Order and Field-Induced Magnetic Moments"J. Phys. Soc. Jpn.. 72, No. 5, (in press). (2003)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] Hiroyuki Shiba: "Structure, Effective Hamiltonian and Magnetic Excitation Spectrum in Charge-Ordered Yb4As3, in Proc. of French-Japanese Symposium of Quantum Properties of Low-Dimensional Antiferromagnets"Kyushu Univ. Press. 183-190 (2002)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] Hiroyuki Shiba: "Structure, Effective Hamiltonian and Magnetic Exciattion Spectrum In Charge-Ordered Yb4As3"Proceedings of French-Japanese Workshop on Quantum Properties of Low-Dimensional Antiferromagnets (Kyushu University Press). 183-190 (2002)

    • Related Report
      2002 Annual Research Report
  • [Publications] Ryousuke Shiina: "Dynamics of Multipoles and Neutron Scattering Spectra in Quadrupolar Ordering Phase of CeB6"J.Phys.Soc.Jpn.. 72,No.5(掲載予定). (2003)

    • Related Report
      2002 Annual Research Report
  • [Publications] 細谷暁夫: "現代物理学"森北出版. 221 (2002)

    • Related Report
      2002 Annual Research Report
  • [Publications] Seizo Watarai: "Entropy Effect on the Magnetization Process of Hexagonal XY-like Heisenberg Antiferromagnets"Journal of Physical Society of Japan. 70, No.2. 532-537 (2001)

    • Related Report
      2001 Annual Research Report
  • [Publications] Hiroyuki Shiba: "Structure, Effective 1-Jamiltonian and Magnetic Excitation Spectrum in Charge-Ordered Yb4As3"Proceedings of French-Japanese Symposium on Quantum Properties of Low-Dimensional Antiferromagnets. (in press). (2002)

    • Related Report
      2001 Annual Research Report
  • [Publications] Hiroynki Shiba: "Theory of field-Induced Gap Formation in Charge-Ordered Yb4As3"Physica B (Proceedings of International Conference on Strongly Correlated electron Systems). (in press). (2002)

    • Related Report
      2001 Annual Research Report
  • [Publications] 斯波弘行: "電子相関の物理"岩波書店. 198 (2001)

    • Related Report
      2001 Annual Research Report

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Published: 2001-04-01   Modified: 2016-04-21  

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