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

Ji Daren; Ying Heping; Chen Feng; Zhang Jianbo

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《中国物理C》（英文）编辑部

2024年10月30日

Chinese Physics C> 1995, Vol. 19> Issue(1) : 42-48

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

Zhejiang Institute of Modern Physics, Departmentof Physics, Zhejiang University, Hangzhou 310027

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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.

References

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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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Received: 1900-01-01
Revised: 1900-01-01

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沈阳化工大学材料科学与工程学院沈阳 110142

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

Received Date: 1900-01-01
Accepted Date: 1900-01-01
Available Online: 1995-01-05

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.