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

Ji Daren; Ying Heping; Chen Feng; Zhang Jianbo

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

Abstract
HTML
Reference
Related

PDF

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

[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.

[1]	GUO Yun-Jun , HE Kang-Lin . Muon Identification Using the Efficiencies Ratio Method at BESⅡ. Chinese Physics C, 2007, 31(11): 1050-1055.
[2]	HUANG Wen-Xue , WANG Yue , ZHU Zhi-Chao , TIAN Yu-Lin , XU Hu-Shan , SUN Zhi-Yu , XIAO Guo-Qing , ZHAN Wen-Long . Experimental Study of the High-Voltage Breakdown and Simulations for the RFQ Cooler and Buncher RFQ1L. Chinese Physics C, 2006, 30(S2): 261-264.
[3]	LI Ming-Liang , ZHU Sheng-Jiang , CHE Xing-Lai , YU Ying-Nan . Research on Two-Quasiparticle Bands in ⁹⁸Sr. Chinese Physics C, 2004, 28(S1): 75-77.
[4]	HU Xi-Duo , SHAO Ming-Zhu , LUO Shi-Yu , LIU Yong-Sheng , ZHU De-Hai . Average Field Idea and Single Particle Model for 2 Dimension Crystallization Beams(Ⅱ). Chinese Physics C, 2004, 28(2): 196-199.
[5]	Medina Ablikim , HUANG Wei-Cheng , . New Realization of N=2 Supersymmetric QuantumMechanics and Shape Invariance. Chinese Physics C, 2002, 26(4): 338-345.
[6]	Guo Hua . In-medium QMC Model Parameters and Quark Condensation in Nuclear Matter. Chinese Physics C, 1999, 23(5): 459-468.
[7]	Chen Zhongqiu , Shao Changgui , Ma Weichuan . Calculation of Wilson Loop Functionals for Classical and Quantum Gravities. Chinese Physics C, 1998, 22(3): 217-224.
[8]	Yang Jianjun , Ma Boqiang , Li Guanglie . Non-perturbative Quark Propagator and the Study of the Non-trivial Q² Dependence in the Nucleon Structure Functions. Chinese Physics C, 1997, 21(2): 146-156.
[9]	BES Collaboration . Experimental Study of Resonance f₂(1270) in the J/ψ Hadronic Decay. Chinese Physics C, 1993, 17(2): 97-106.
[10]	ZHU Xiang , SHEN Wen-Qing , HU Xiao-Qing , ZHU Yong-Tai , WANG Bing . A SIMPLE MODEL ANALYSIS OF THE INCOMPLETE DIC REACTION. Chinese Physics C, 1990, 14(9): 835-841.
[11]	WU Zhong-Li . ANALYSIS OF THE MOMENTUM DISTRIBUTION WIDTH OF THE PREOJECTILE-LIKE-FRAGMENT FROM HEAVY ION COLLISIONS. Chinese Physics C, 1989, 13(8): 752-754.
[12]	WANG Man , LI Jin , CUI Xiang-Zong , XIA Xiao-Mi , LAI Yuan-Fen , YAO Xiao-Guang . PROTOTYPE OF END CAP SHOWER COUNTERAND ITS BEAM TEST. Chinese Physics C, 1987, 11(3): 321-326.
[13]	Sa Ben-hao , Zhang Xi-zhen , Li Zhu-xia , Shi Yi-jin . A PRIMARY RESEARCH OF THE PHONON RENORMALIZATION OF NUCLEAR FIELD THEORY. Chinese Physics C, 1980, 4(3): 398-400.

Access

Get Citation

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

RIS(for EndNote,Reference Manager,ProCite)

BibTex

Txt

Milestone

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

Article Metric

Article Views(3410)
PDF Downloads(543)
Cited by(0)

Policy on re-use

To reuse of subscription content published by CPC, the users need to request permission from CPC, unless the content was published under an Open Access license which automatically permits that type of reuse.

通讯作者: 陈斌, bchen63@163.com

1.
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.