Quick Search:
Author: Title/Abstract: Vol./No: Page:

Prog. Theor. Phys. Vol. 75 No. 5 (1986) pp. 1058-1065

[ Full Text PDF : FREE ACCESS (412K) ]

Decoupled Cell Method Monte Carlo Simulation for Quantum Spin Systems

Shigeo Homma, Hirotsugu Matsuda* and Naofumi Ogita**

Department of Applied Physics, Faculty of Engineering, Nagoya University, Nagoya 464
*Department of Biology, Faculty of Science, Kyushu University, Fukuoka 812
**The Institute of Physical and Chemical Research, Wako 351-01

(Received August 26, 1985)

Abstract:

The internal energy and perpendicular susceptibility of the one-dimentional XY-model are calculated by the decoupled cell method Monte Carlo simulation for quantum systems. Above a cenrain demarcation temperature depending on the cell size the agreement with the exact result is excellent, whereas below it the result of simulation becomes unreliable.


URL : http://ptp.ipap.jp/link?PTP/75/1058/
DOI : 10.1143/PTP.75.1058

[ Full Text PDF : FREE ACCESS (412K) ] Citation:


References:

  1. D. C. Handscomb, Proc. Cambidge Philos. Soc. 58 (1962), 594; ibid. 60 (1964), 115.
  2. M. Suzuki, Prog. Theor. Phys. 56 (1976), 1454[PTP].
  3. M. Suzuki, S. Miyashita and A. Kuroda, Prog. Theor. Phys. 58 (1977), 1377[PTP].
  4. J. W. Lyklema, Phys. Rev. Lett. 49 (1982), 88[APS]; Phys. Rev. B27 (1983), 3108[APS].
  5. J. J. Cullen and D. P. Landau, Phys. Rev. B27 (1983), 297[APS].
  6. Monte Carlo Methods in Quantum Problems, ed. M. H. Kalos (D. Reidel Pub. Co., Dordrecht, Boston, Lancaster, 1984).
  7. H. Betsuyaku, Phys. Rev. Lett. 53 (1984), 629[APS]; Prog. Theor. Phys. 73 (1985), 319[PTP].
  8. H. Takano, Prog. Theor. Phys. 73 (1985), 332[PTP].
  9. T. Tsuzuki, Prog. Theor. Phys. 73 (1985), 1352[PTP].
  10. T. Sakaguchi, K. Kubo and S. Takada, J. Phys. Soc. Jpn. 54 (1985), 861[JPSJ].
  11. M. Suzuki, Phys. Rev. B31 (1985), 2957[APS].
  12. I. Satija, G. Wysin and A. R. Bishop, Phys. Rev. B31 (1985), 3205[APS].
  13. E. Loh, Jr., D. J. Scalapino and P. M. Grant, Phys. Rev. B31 (1985), 4712[APS].
  14. H. De Raedt, B. De Raedt and A. Lagendijk, Z. Phys. B57 (1984), 209.
  15. S. Kadowaki and A. Ueda, Prog. Theor. Phys. 75 (1986), 451[PTP].
  16. S. Homma, H. Matsuda and N. Ogita, Prog. Theor. Phys. 72 (1984), 1245[PTP].
  17. S. Katsura, Phys. Rev. 127 (1962), 1508[APS].
  18. N. Metropolis, A. W. Rosenbluth, M. N. Rosenbluth, A. H. Teller and E. Teller, J. Chem. Phys. 21 (1953), 1087[CrossRef].

Citing Article(s) :

  1. 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
  2. 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
  3. Progress of Theoretical Physics Vol. 80 No. 4 (1988) pp. 583-587 :
    Theoretical Basis of the Decoupled Cell Monte Carlo Simulation for Quantum System
    Hirotsugu Matsuda, Kazushige Ishii, Shigeo Homma and Naofumi Ogita
  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