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Prog. Theor. Phys. Vol. 75 No. 2 (1986) pp. 451-454
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
References:
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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].
- H. F. Trotter, Proc. Am. Math. Soc. 10 (1959), 545.
- S. Homma, H. Matsuda and N. Ogita, Prog. Theor. Phys. 72 (1984), 1245 [PTP]and a preprint.
- P. A. M. Dirac, The Principles of Quantum Mechanics, 4th ed. (Clarendon, Oxford, 1958).
- M. Hamermesh, Group Theory and Its Application to Physical Problems (Addison-Wesley, 1964).
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J. C. Bonner and M. E. Fissher, Phys. Rev. A135 (1964), 640[APS].
Citing Article(s) :
-
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
-
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
-
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
-
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
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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