Cluster Monte-Carlo Algorithm for the Study of Quantum X-Y Model

  • A Monte-Carlo study for the one-dimensional quantum X-Y model by cluster algorithm is presented. For lattices of L=32, 64 and 128 and at βJ=1.0-10.0 temperature region, the dynamical properties are analysed carefully and the corresponding thermodynamical quantities are computed. This method may be developed to apply for the lattice fermion systems.
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  • [1] T.Matsubara,K.Matsuda,Prog.Theor.Phys.,16(1956)569;17(1957)19.[2]M.Suzuki,J.Stat.Phys.,43(1986)833.[3]J.1.Cullen,D.P.Landau,Poys.Rev.,B27(1983)297.[4]J.M.Kosterlitz,D.J.Thouless,J.Phys.,C6(1973)1181;J.M.Kosterlitz,ibid.,C7(1974)1046.[5]H.DeReadtetal.,Phys.Lett.,A104(1984)430;Z.Phys.,B57(1984)209;E.Lohetal.,Phys.Rev.,B31(1985)4712.[6]Y.Okabe,M.Kikuchi,J.Phys.Soc.Jpn.,57(1988)4351;H.Q.Ding,M.S.Makivic,Phys.Rev.,B42(1990)6827.[7]U.J.Wiese,H.P.Ying,Phys.Lett.,A168(1992)143;H.P.Ying,D.R.Ji,Commu.Theor.Phys.,21(1994)421;应和平、季达人,物理学报,42(1993);应和平、U.J.Wiese,物理学报,42(1993)1684.[8]U.Wolff,Phys.Rev.Lett.,62(1989)361;R.Swendsen,J.S.Wang,Phys.Rev,Lett.,58(1987)86.[9]S.Katsura,Pkys.Rev.,B127(1962)1508.[10]U.J.Wiese,Bern Preprint BUTP-92/45.
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Ji Daren, Ying Heping, Chen Feng and Zhang Jianbo. Cluster Monte-Carlo Algorithm for the Study of Quantum X-Y Model[J]. Chinese Physics C, 1995, 19(1): 42-48.
Ji Daren, Ying Heping, Chen Feng and Zhang Jianbo. Cluster Monte-Carlo Algorithm for the Study of Quantum X-Y Model[J]. Chinese Physics C, 1995, 19(1): 42-48. shu
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Cluster Monte-Carlo Algorithm for the Study of Quantum X-Y Model

    Corresponding author: Ji Daren,
  • Zhejiang Institute of Modern Physics, Departmentof Physics, Zhejiang University, Hangzhou 310027

Abstract: A Monte-Carlo study for the one-dimensional quantum X-Y model by cluster algorithm is presented. For lattices of L=32, 64 and 128 and at βJ=1.0-10.0 temperature region, the dynamical properties are analysed carefully and the corresponding thermodynamical quantities are computed. This method may be developed to apply for the lattice fermion systems.

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