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Monte Carlo Studies on Classical and Quantum Random Spin Systems

Research Project

Project/Area Number 05804017
Research Category

Grant-in-Aid for General Scientific Research (C)

Allocation TypeSingle-year Grants
Research Field 物性一般(含基礎論)
Research InstitutionTokyo Metropolitan University

Principal Investigator

OKABE Yutaka  Tokyo Metropolitan Univ., Fac. of Science, Professor, 理学部, 教授 (60125515)

Project Period (FY) 1993 – 1994
Project Status Completed (Fiscal Year 1994)
Budget Amount *help
¥1,600,000 (Direct Cost: ¥1,600,000)
Fiscal Year 1994: ¥500,000 (Direct Cost: ¥500,000)
Fiscal Year 1993: ¥1,100,000 (Direct Cost: ¥1,100,000)
KeywordsMonte Carlo method / Spin-glasses / Histogram method / Quantum spin system / Quantum Monte Carlo / Dispersion curve / ヒストグラス法 / 量子スピン系
Research Abstract

It is interesting to study the effect of randomness on the phase transions and critical phenomena. We nsed massive Monte Carlo simulations to get accurate numerical information on the random spin systems.
We proposed to use the histogram method for the study of spin-glass problems. Calculating the replica-ovelap parameter for various temperatures and for various magnetic fields by a simulation for a single parameter, we investigated the spin-glass transition under magnetic field for the three-and four-dimensional short-ranged spin-glass models.
We also investigated the thermodynamic properties of alternating-bond quantum spin systems by using the quantum Monte Carlo method. The magnetization process, the spin-spin correlation functions, and the energy dispersion curves were calcuated.

Report

(3 results)
  • 1994 Annual Research Report   Final Research Report Summary
  • 1993 Annual Research Report
  • Research Products

    (20 results)

All Other

All Publications (20 results)

  • [Publications] Y.Okabe: "Random Three-State Potts Model : a Monte Carlo Study." Computer Aided Innovation of New Materials II,edited by M.Doyama,J.Kihara,M.Tanaka and R.Yamamoto. (Elsevier,Amsterdam).429-432 (1993)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1994 Final Research Report Summary
  • [Publications] K.Satoh: "Critical Phenomenon in a Neural Network Model : A Localization-Delocalization Transition of Excited Clusters." J.Phys.Soc.Jpn.62. 64-71 (1993)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1994 Final Research Report Summary
  • [Publications] Y.Okabe: "Application of Finite-Size Scaling to Phase Transitions and Localization-Delcalization Transitions." Computer Simulation Studies in Condensed Matter Physics V,edited by D.P.Landau,K.K.Mon and H.-B.Schuttler.(Springer,Berlin).5-7 (1993)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1994 Final Research Report Summary
  • [Publications] N.Ito: "Recycle of Random Sequences." Int.J.Mod.Phys.C.4. 569-590 (1993)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1994 Final Research Report Summary
  • [Publications] Y.Okabe: "Application of the Histogram Method to the ±Jlsing Spin-Glass Model." Proseedings of the 6th Joint EPS-APS International Conference on Physics Computing,edited by R.Gruber and M.Tomassini.(European Physical Society,Geneva). 399-402 (1994)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1994 Final Research Report Summary
  • [Publications] Y.Okabe: "Alternating Quantum Antiferromagnetic Chains with Discommensurations : A Quantum Monte Carlo Study." Proceedings of the 6th Joint EPS-APS International Conference on Physics Computing,edited by R.Gruber and M.Tomassini,(Eurpean Physical Society,Geneva).715-718 (1994)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1994 Final Research Report Summary
  • [Publications] M.Kikuchi: "Statistical Dependence and Related Topics." Computer Simulation Sudies in Condenced Matter Physics VII,edited by D.P.Landau,K.K.Mon at H.-B.Schuttler.44-56 (1994)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1994 Final Research Report Summary
  • [Publications] Y.Okabe: "Phase Transition of the Random Potts Model." Computational Physics as a New Frontier in Condensed Matter Research,edited by H.Takayama,M.Tsukada,H.Shiba,F.Yonezawa.M.Imada and Y.Okabe.(Physical Society of Japan,Tokyo). 247-254 (1995)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1994 Final Research Report Summary
  • [Publications] Y.Okabe and M.Kikuchi: "Random Three-State Potts Model : a Monte Carlo Study" Computer Aided Innovation of New Materials ll, edited by M.Doyama, J.Kihara.M.Tanaka and R.Yamamoto, (Elsevier, Amsterdam, 1993). 429-432

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1994 Final Research Report Summary
  • [Publications] K.Satoh and Y.Okabe: "Critical Phenomenon in a NeuralNetwork Model : A Localization-Delocalization Transition of Excited Clusters" J.Phys.Soc.Jpn. 62. 64-71 (1993)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1994 Final Research Report Summary
  • [Publications] Y.Okabe.M.Kikuchi and K.Niizeki: "Application of Finite-Size Scaling to Phase Transitions and Localization-Delocalization Transitions" Computer Simulation Studies in Condensed Matter Physics V,edited by D.P.Landau, K.K.Mon and H.-B.Schuttler. (Springer, Berlin, 1993). 5-17

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1994 Final Research Report Summary
  • [Publications] N.Ito, M.Kikuchi and Y.Okabe: "Recycle of Random Sequences" Int.J.Mod.Phys. C4. 569-590 (1993)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1994 Final Research Report Summary
  • [Publications] Y.Okabe, H.Sano and M.Kikuchi: "Application of the Histogram Method to the (]SY.+-。[)J Ising Spin-Glass Model" Proceedings of the 6th Joint EPS-APS International Conference of Physics Computing, edited by R.Gruber and M.Tomassini, (European Physical Society, Geneva, 1994). 399-402

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1994 Final Research Report Summary
  • [Publications] Y.Okabe and N.Kai: "Alternating Quantum Antiferromagnetic Chains with Discommensuration : A Quantum Monte Carlo Study" Proceedings of the 6th Joint EPS-APS International Conference on Physics Computing, edited by R.Gruber and M.Tomassini, (European Physical Society, Geneva, 1994). 715-718

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1994 Final Research Report Summary
  • [Publications] M.Kikuchi, N.Ito and Y.Okabe: "Statistical Dependence and Related Topics." Computer Simulation Studies in Condensed Matter Physics VII,edited by D.P.Landau, K.K.Mon and H.-B.Schuttler. (Springer, Berlin, 1994). 44-56

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1994 Final Research Report Summary
  • [Publications] Y.Okabe and M.Kikuchi: "Phase Transition of the Random Potts Model" Computational Physics as a New Frontier in Condensed Matter Research. edited by H.Takayama, M.Tsukada, H.Shiba, F.Yonezawa, M.Imada and Y.Okabe, (Physical Society of Japan, Tokyo, 1995). 247-254

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1994 Final Research Report Summary
  • [Publications] Y.Okabe, H.Sano and M.Kikuchi: "Application of the Histogram Method to the ±J Ising Spin-Glass Model" Proceedings of the 6th Joint EPS-APS International Conference on Physics Computing. 399-402 (1994)

    • Related Report
      1994 Annual Research Report
  • [Publications] Y.Okabe and N.Kai: "Alternating Quantum Antiferro magnetic Chains with Discommensurations:A Quantum Morte Corlo Study" Proceedings of the 6th Joint EPS-APS International Conference on Physics Computing. 715-718 (1994)

    • Related Report
      1994 Annual Research Report
  • [Publications] N.Ito,M.Kikuchi and Y.Okabe: "Recycle of Random Sequences" Int.J.Mod.Phys.C. 4. 569-590 (1993)

    • Related Report
      1993 Annual Research Report
  • [Publications] Y.Okabe,M.Kikuchi and K.Niizeki: "Computer Simulation Studies in Condensed Matter Physics V,分担執筆部分標題 Application of Finite-Size Scaling to Phasc Transitions and Localization-Delocalization Transitions" Springer, 197(5-17) (1993)

    • Related Report
      1993 Annual Research Report

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Published: 1993-04-01   Modified: 2016-04-21  

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