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Novel quantum state in a high-spin chain created by the spontaneous symmetry breaking

Research Project

Project/Area Number 16540332
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeSingle-year Grants
Section一般
Research Field Condensed matter physics II
Research InstitutionFukui University of Technology

Principal Investigator

TONEGAWA Takashi  Fukui University of Technology, Faculty of Engineering, Professor, 工学部, 教授 (80028167)

Co-Investigator(Kenkyū-buntansha) OKUNISHI Kouichi  Niigaka University, Department of Physics, Assistant, 自然科学系, 助手 (30332646)
Project Period (FY) 2004 – 2005
Project Status Completed (Fiscal Year 2005)
Budget Amount *help
¥3,000,000 (Direct Cost: ¥3,000,000)
Fiscal Year 2005: ¥1,100,000 (Direct Cost: ¥1,100,000)
Fiscal Year 2004: ¥1,900,000 (Direct Cost: ¥1,900,000)
Keywordsone-dimensional S=1 spin chain / density-matrix renormalization-group method / exact diagonalization method / finite-field ground state / magnetization plateau / magnetization jump / ground-state phase diagram / quantum phase transition / 1次元S=1量子スピン系 / 1次元S=1スピン鎖 / 磁場中基底状態
Research Abstract

In this project, we have explored the finite-field ground states of a variety of high-spin (mainly, S=1) chains, employing numerical and analytical methods. The main results which we have obtained are summarized as follows.
1.One-Dimensional S=1 Ferromagnetic-Antiferromagnetic Bond-Alternating Chain with Uniaxial Single-Ion
Anisotropy Energies
We have examined the finite-field ground state of the present system by means of the density-matrix renormalization-group method, and clarified that two kinds of 1/2-plateaux (the magnetization plateau at the half of the saturation magnetization) appear in the ground-state magnetization curve. Furthermore, employing the level spectroscopy method based on the exact diagonalization method for finite-size systems, we have determined the 1/2-magnetization plateau phase diagram on the plane of the interaction parameters and also the magnetization phase diagram on the magnetic field versus interaction parameter plane.
2.Anisotropic One-Dimensional S=1 Anti … More ferromagnetic Chain
We have studied, by means of the density-matrix renormalization-group method, the finite-field ground state of the one-dimensional antiferromagnetic chain with Ising-type anisotropic exchange interactions and uniaxial single-ion anisotropy energies. The obtained results are : i)The magnetization jump anomaly corresponding to the first-order phase transition appears in the ground-state magnetization curve, and ii)the commensurate-incommensurate phase transition corresponding to the second-order one takes place in the finite-field ground state.
3.One-Dimensional S=1 Chain with Bond-Alternating Nearest-Neighbor and Uniform Next-Nearest-Neighbor Interactions
First, we have calculated the dispersion relation of the spin-wave excitation from the ferromagnetic state, from the result of which we have rigorously determined the phase boundary line between the ferromagnetic and nonmagnetic singlet phases on the plane of the interaction parameters. Then, we have calculated, using the density-matrix renormalization-group method, the ground-state magnetization curve in the parameter region where the non-magnetic singlet phase is stable, and found that the 1/2-plateau appears in the magnetization curve. Finally, we have determined the 1/2-plateau phase diagram on the plane of the interaction parameters by applying the level spectroscopy method. Less

Report

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

    (21 results)

All 2006 2005

All Journal Article (21 results)

  • [Journal Article] Field-Induced Incommensurate Order in a Quasi-1D S=l Antiferromagnet2006

    • Author(s)
      Toru Sakai
    • Journal Title

      Proc. 24th Int. Conf. Low Temperature Physics (in press)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] Field-Induced Incommensurate Order in a Quasi-1D Antiferromagnet2006

    • Author(s)
      T.Sakai, K.Okamoto, K.Okunishi, T.Tonegawa
    • Journal Title

      Proc.24th Int.Conf.Low Temperature Physics (in press)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] Phase Diagram of S=1 XXZ Chain with Next-Nearest-Neighbor Interaction2005

    • Author(s)
      Takahiro Murashima
    • Journal Title

      J. Phys. Soc. Jpn. 74・5

      Pages: 1544-1551

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] Experimental Observation of the 1/3 Magnetization Plateau in the Diamond-Chain Compound Cu3(CO3)2(OH)22005

    • Author(s)
      Hikomitsu Kikuchi
    • Journal Title

      Phys. Rev. Lett. 94・22

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] Fractional Sz Excitation and its Boundstate for the S=1/2 Antiferromagnetic Zigzag Spin Chain in a Magnetic Field2005

    • Author(s)
      Kouichi Okunishi
    • Journal Title

      J. Phys. Soc. Jpn. 74.Suppl.

      Pages: 151-156

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] Finite-Field Ground State of the S=1 Antiferromagnetic-Ferromagnetic Bond-Alternating Chain2005

    • Author(s)
      Takashi Tonegawa
    • Journal Title

      J. Phys. Soc. Jpn. 74.Suppl.

      Pages: 161-164

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] Finte-Field Ground State of an S=1 Anisotropic Antiferromagetic Chain2005

    • Author(s)
      Takashi Tonegawa
    • Journal Title

      Prog. Theor. Phys., Supplement No.159

      Pages: 77-81

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] Phase Diagram of S=1 XXZ Chain with Next-Nearest-Neighbor Interaction2005

    • Author(s)
      T.Murashima, K.Hijii, K.Nomura, T.Tonegawa
    • Journal Title

      J.Phys.Soc.Jpn 74[5]

      Pages: 1544-1551

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] Experimental Observation of the 1/3 Magnetization Plateau in the Diamond-Chain Compound Cu3(C03)2(OH)22005

    • Author(s)
      H.Kikuchi, Y.Fujii, M.Chiba, S.Mitsudo, T.Idehara, T.Tonegawa, K.Okamoto, T.Sakai, T.Kuwai, H.Ohta
    • Journal Title

      Phys.Rev.Lett. 94[22]

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] Fractional Sz Excitation and its Boundstate for the S=1/2 Antiferro-magnetic Zigzag Spin Chain in a Magnetic Field2005

    • Author(s)
      K.Okunishi, T.Tonegawa
    • Journal Title

      J.Phys.Soc.Jpn 74(Suppl)

      Pages: 151-156

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] Finite-Field Ground State of the S=1 Antiferromagnetic-Ferromagnetic Bond-Alternating Chain2005

    • Author(s)
      T.Tonegawa, K.Okamoto, M.Kaburagi
    • Journal Title

      J.Phys.Soc.Jpn. 74(Suppl)

      Pages: 161-164

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] Finite-Field Ground State of an S=1 Anisotropic Antiferromagnetic Chain2005

    • Author(s)
      T.Tonegawa, K.Okunishi, T.Sakai, M.Kaburagi
    • Journal Title

      Prog.Thore.Phys. No.159(Supplement)

      Pages: 77-81

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] Phase Diagram of S=1 XXZ Chain with Next-Nearest-Neighbor Interaction2005

    • Author(s)
      Takahiro Murashima
    • Journal Title

      J.Phys.Soc.Jpn. 74・5

      Pages: 1544-1551

    • Related Report
      2005 Annual Research Report
  • [Journal Article] Experimental Observation of the 1/3 Magnetization Plateau in the Diamond-Chain Compound Cu_3 (CO_3)_2(OH)_22005

    • Author(s)
      Hikomitsu Kikuchi
    • Journal Title

      Phys.Rev.Lett. 94・22

    • Related Report
      2005 Annual Research Report
  • [Journal Article] Fractional S^z Excitation and its Boundstate for the S=1/2 Antiferromagnetic Zigzag Spin Chain in a Magnetic Field2005

    • Author(s)
      Kouichi Okunishi
    • Journal Title

      J.Phys.Soc.Jpn. 74,Suppl.

      Pages: 151-156

    • Related Report
      2005 Annual Research Report
  • [Journal Article] Finite-Field Ground State of the S=1 Antiferromagnetic-Ferromagnetic Bond-Alternating Chain2005

    • Author(s)
      Takashi Tonegawa
    • Journal Title

      J.Phys.Soc.Jpn. 74,Suppl.

      Pages: 161-164

    • Related Report
      2005 Annual Research Report
  • [Journal Article] Ground-State Phase Diagram of the S=1/2 Distorted Diamond Type Spin Chain with Ferromagnetic Interactions2005

    • Author(s)
      Kiyomi Okamoto
    • Journal Title

      Prog.Theor.Phys., Suppl. No.159

      Pages: 17-21

    • Related Report
      2005 Annual Research Report
  • [Journal Article] Finite-Field Ground State of an S=1 Anisotropic Antiferromagnetic Chain2005

    • Author(s)
      Takashi Tonegawa
    • Journal Title

      Prog.Theor.Phys., Suppl. No.159

      Pages: 77-81

    • Related Report
      2005 Annual Research Report
  • [Journal Article] Finite-field Ground State of the S=1 Antiferromagnetic-Ferromagnetic Bond-Alternating Chain2005

    • Author(s)
      Takashi Tonegawa
    • Journal Title

      J.Phys.Soc.Jpn. (発表予定)

    • Related Report
      2004 Annual Research Report
  • [Journal Article] Finite-Field Ground State of an S=1 Anisotropic Antiferromagnetic Chain2005

    • Author(s)
      Takashi Tonegawa
    • Journal Title

      Prog.Theor.Phys. (発表予定)

    • Related Report
      2004 Annual Research Report
  • [Journal Article] Phase Diagram of S=1 XXZ Chain with Next-Nearest-Neighbour Interaction2005

    • Author(s)
      Takahiro Murashima
    • Journal Title

      J.Phys.Soc.Jpn. 74・5(印刷中)

    • Related Report
      2004 Annual Research Report

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Published: 2004-04-01   Modified: 2020-05-15  

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