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Prog. Theor. Phys. Vol. 75 No. 2 (1986) pp. 451-454

[ Full Text PDF : FREE ACCESS (199K) ]

Letters

A Direct Evaluation Method of the Partition Function of Quantum Spin Systems

Shinji Kadowaki*) and Akira Ueda

Department of Applied Mathematics and Physics
Faculty of Engineering, Kyoto University, Kyoto 606

(Received October 29, 1985)

Abstract:

A simple Monte Carlo method to evaluate the partition function of quantum spin systems is proposed. The method is applied to the isotropic spin-1/2 Heisenberg system of one-dimension and excellent agreements are obtained with the numerically rigorous result of Bonner and Fisher.


URL : http://ptp.ipap.jp/link?PTP/75/451/
DOI : 10.1143/PTP.75.451

[ Full Text PDF : FREE ACCESS (199K) ] Citation:


References:

  1. D. C. Handscomb, Proc. Camb. Phil. Soc. 58 (1962), 594; ibid. 60 (1964), 115.
  2. J. W. Lyklema, Phys. Rev. Lett. 49 (1982), 88[APS]; Phys. Rev. B27 (1983), 3108[APS].
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    M. Suzuki, S. Miyashita and A. Kuroba, Prog. Theor. Phys. 58 (1977), 1377[PTP].
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  5. S. Homma, H. Matsuda and N. Ogita, Prog. Theor. Phys. 72 (1984), 1245 [PTP]and a preprint.
  6. P. A. M. Dirac, The Principles of Quantum Mechanics, 4th ed. (Clarendon, Oxford, 1958).
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  8. J. C. Bonner and M. E. Fissher, Phys. Rev. A135 (1964), 640[APS].

Citing Article(s) :

  1. Progress of Theoretical Physics Vol. 75 No. 5 (1986) pp. 1058-1065 :
    Decoupled Cell Method Monte Carlo Simulation for Quantum Spin Systems
    Shigeo Homma, Hirotsugu Matsuda and Naofumi Ogita
  2. Progress of Theoretical Physics Vol. 77 No. 2 (1987) pp. 287-296 :
    Quantum Monte Carlo Simulation of Antiferromagnetic Heisenberg Model on the Triangular Lattice
    Kazuhiro Sano
  3. Progress of Theoretical Physics Vol. 78 No. 2 (1987) pp. 224-236 :
    A New Monte Carlo Approach to Quantum Spin Systems
    Shinji Kadowaki and Akira Ueda
  4. Progress of Theoretical Physics Vol. 82 No. 3 (1989) pp. 493-506 :
    A New Monte Carlo Approach to Quantum Spin Systems. II
    Shinji Kadowaki and Akira Ueda
  5. Progress of Theoretical Physics Supplement No.87 (1986) pp. 127-138 :
    Decoupled Cell Monte Carlo Method for Quantum Spin Systems on Linear Chain and on Triangular Lattice
    Shigeo Homma, Kazuhiro Sano, Hirotsugu Matsuda and Naofumi Ogita