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1996 Fiscal Year Final Research Report Summary

Exact theory for low-dimensional quantum many-body systems

Research Project

Project/Area Number 08044051
Research Category

Grant-in-Aid for international Scientific Research

Allocation TypeSingle-year Grants
SectionJoint Research
Research InstitutionTohoku University

Principal Investigator

KURAMOTO Yoshio  Faculty of Science Professor, 大学院・理学研究科, 教授 (70111250)

Co-Investigator(Kenkyū-buntansha) SHASTRY B.S  Indian Institute od Science Professor, 教授
SUTHERLAND B  Faculty of Science, University of Utah Professor, 理学部, 教授
KAWAKAMI Norio  Faculty of Science, Osaka University Professor, 大学院・工学研究科, 教授 (10169683)
Project Period (FY) 1996
Keywords1 / gamma^2 interaction / conformal field theory / fractional quantum Hall systems / fractional statistics / dynamical susceptibility / spnon / t-J model / t-Jモデル
Research Abstract

Within the present project, ew organized various activities in Japan, US and India. Inchronological order, Kuramoto stayd in Utah in September and have a seminar on the Quantum Hall effect. In additon he discussed with Sutherland in detail on the one-dimensional quantum systems. A new direction is pursued in searching for the signature of novel magnetic order in the anisotropic spin chain by the Monte Carlo method.
In December, Kuramoto, Kawakami and Kato stsyed in Bangalore. Shastry organized a timely symposium on quantum many-body systems where the speakers include four of us. After the symposium we discussed among other things the dynamical property of the spin chain, the Toda lattice which interpolates solitons and phonons, and electronic state in quantum dots.
In February, Sutherlamd and Shastry came to Japan and stayd in Osaka-Kyoto and Sendai. In Kansai district, Shastry and Sutherland gave lectures and discussed with Kawakami about many topics including application of the conformal field theory to the long-range interction models. In Sendai Kuramoto organized a symposium where Sutherland, Shastry and Kuramoto participated as speakers. Shastry and Sutheland discussed not only with Kuramoto and his colleagues but with some students of Kuramoto about various topics studied in the group.
In the near future, we are planning to publish a few joint papers. These include the complex long-range order expected in the spin chain with the 1/gamma^2 interaction and with the Ising anisotropy.

  • Research Products

    (12 results)

All Other

All Publications (12 results)

  • [Publications] G.Ulmin,Y.Kuramoto and N.Fukushima: "Mode-coupling effects on the quadrupolar ordering in CeB_6" Solid State Commun.97. 595-598 (1996)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] Y.Kato and Y.Kuramoto: "Fractional exclusion statistics for the multicomponents Sutherland model" J.Phys.Soc.Jpn.65. 77-86 (1996)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] T.Yamamoto,N.Kawakami and S.-K.Yang: "Critical Properties of the Calogero-Sutherland Model with Boundaries" J.Phys.A29. 317-327 (1996)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] T.Fukui,N.Kawakami and S.-K.Yang: "Higher-Spin generalization of Fractional Exclusion Statistics" J.Phys.Soc.Jpn.65. 1617-1621 (1996)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] R.A.Romer,B.S.Shastry and B.Sutherland: "Conservation lwas in the continuum 1/r^2 systems" J.Phys.A29. 4699-4714 (1996)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] P.N.Mahesh and B.S.Shastry: "The Hall Constant and Hall Angle of Correlated Electrons : Cluster Calculation for Hubbard Model" Physica. B223&224. 501-504 (1996)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] G.Uimin, Y.Kuramoto and N.Fukushima: "Mode-coupling effcts on the quadr1upolar ordering in CeB_6" Solid State Commun. 97. 595-598 (1996)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] Y.Kato and Y.Kuramoto: "Fractional exclusion statistics for the multicomponent Sutherland model" J.Phys.Soc.Jpn. 65. 77-86 (1996)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] T.Yamamato, N.Kawakami and S.-K.Yang: "Critical Properties of the Calogero-Sutherland Model with Boundaries" J.Phys. A29. 317-327 (1996)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] T.Fukui, N.Kawakami and S.-K.Yang: "Higher-Spin generalization of Fractional Exclusion Statistics" J.Phys.Soc.Jpn. 65. 1617-1621 (1996)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] R.A.Romer, B.S.Shastry and B.Sutherland: "Conservation lwas in the continuum 1/gamma^2 systems" J.Phys. A29. 4699-4714 (1996)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] P.N.Mahesh and B.S.Shastry: "The Hall Constant and Hall Angle of Correlated Electrons : Cluster Calculation for Hubbard Model" Physica. B223&224. 501-504 (1996)

    • Description
      「研究成果報告書概要(欧文)」より

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Published: 1999-03-09  

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