HOME    |    BROWSE    |    SEARCH    |    SUBSCRIPTION   |    SUBMISSION    |    REGISTRATION

Quick Search:
Author: Title/Abstract: Vol./No: Page:
PTP Online Top > Supplement (1986) > No.87
| Next Article >

Prog. Theor. Phys. Supplement No.87 (1986) pp. 127-138

[ Full Text PDF : FREE ACCESS (781K) ]

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***

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

(Received October 3, 1986)

Abstract:

Decoupled cell method is introduced as a method of Monte Carlo simulation for quantum spin systems. Based on this method we calculated the thermodynamic quantities such as an internal energy, in-plane and out-of-plane susceptibilities and spin-spin correlation functions in one dimensional XY model. The agreement with the exact results is excellent above a certain demarcation temperature.
This method is also applied to the antiferromagnetic Heisenberg model on the triangular lattice. The results indicate the existence of a sublattice structure composed of three sublattices, although its spatial and temporal behaviours are short ranged.


URL : http://ptp.ipap.jp/link?PTPS/87/127/
DOI : 10.1143/PTPS.87.127

[ Full Text PDF : FREE ACCESS (781K) ] Citation:

References:

  1. B. J. Alder and T. E. Wainwright, Phys. Rev. 127 (1962), 359[APS].
  2. N. Ogita, A. Ueda, T. Matsubara, H. Matsuda and F. Yonezawa, J. Phys. Soc. Jpn. 26 (1969) Suppl., p. 145.
  3. O. G. Mouritsen, Computer Studies of Phase Transition and Critical Phenomena (Springer-Verlag, Berlin, 1984).
  4. N. Metropolis, A. W. Rosenbluth, M. N. Rosenbluth, A. H. Teller and E. Teller, J. Chem. Phys. 21 (1953), 1087[CrossRef].
  5. Monte Carlo Methods in Quantum Problems, ed. M. H. Kalos (D. Reidel Publ. Co., Boston, 1984).
  6. D. C. Handscomb, Proc. Cambridge Philos. Soc. 58 (1962), 594; ibid. 60 (1964), 115.
  7. S. Chakravarty and D. B. Stein, Phys. Rev. Lett. 49 (1982), 582[APS].
  8. D. H. Lee, J. D. Joannopoulos and J. W. Negele, Phys. Rev. B 30 (1984), 1599[APS].
  9. J. W. Lyklema, Phys. Rev. Lett. 49 (1982), 88[APS]; Phys. Rev. B 27 (1983), 3108[APS].
  10. S. Kadowaki and A. Ueda, Prog. Theor. Phys. 75 (1986), 451[PTP].
  11. M. Suzuki, Prog. Theor. Phys. 56 (1976), 1454[PTP].
  12. M. Suzuki, S. Miyashita and A. Kuroda, Prog. Theor. Phys. 58 (1977), 1377[PTP].
  13. J. J. Cullen and D. P. Landau, Phys. Rev. B 27 (1983), 297[APS].
  14. H. Betsuyaku, Phys. Rev. Lett. 53 (1984), 629[APS]; Prog. Theor. Phys. 73 (1985), 319[PTP].
  15. T. Yokota and H. Betsuyaku, Prog. Theor. Phys. 75 (1986), 46[PTP].
  16. H. Takano, Prog. Theor. Phys. 73 (1985), 332[PTP].
  17. T. Tsuzuki, Prog. Theor. Phys. 73 (1985), 1352[PTP]; ibid. 75 (1986), 225[PTP].
  18. T. Sakaguchi, K. Kubo and S. Takada, J. Phys. Soc. Jpn. 54 (1985), 861[JPSJ].
  19. M. Suzuki, Phys. Rev. B 31 (1985), 2957[APS]; J. Stat. Phys. 43 (1986), 883.
  20. I. Satija, G. Wysin and A. R. Bishop, Phys. Rev. B 31 (1985), 3205[APS].
  21. E. Loh, Jr., D. J. Scalapino and P. M. Grant, Phys. Rev. B 31 (1985), 4712[APS].
  22. H. De Raedt, B. De Raedt and A. Lagendijk, Z. Phys. B 57 (1984), 209[CrossRef].
  23. H. De Raedt and A. Lagendijk, Phys. Rep. 127 (1985), 233[CrossRef].
  24. M. Takasu, S. Miyashita and M. Suzuki, Prog. Theor. Phys. 75 (1986), 1254[PTP].
  25. S. Homma, H. Matsuda and N. Ogita, Prog. Theor. Phys. 72 (1984), 1245[PTP].
  26. S. Homma, H. Matsuda and N. Ogita, Prog. Theor. Phys. 75 (1986), 1058[PTP].
  27. S. Katsura, Phys. Rev. 127 (1962), 1508[APS].
  28. B. M. McCoy, Phys. Rev. 173 (1968), 531[APS].
  29. G. H. Wannier, Phys. Rev. 79 (1950), 357[APS].
  30. S. Miyashita, J. Phys. Soc. Jpn. 53 (1984), 44[JPSJ].
  31. H. Nishimori and S. J. Miyake, Prog. Theor. Phys. 73 (1983), 18[PTP].
  32. S. J. Miyake, Prog. Theor. Phys. 74 (1984), 468[PTP].
  33. T. Oguchi, H. Nishimori and Y. Taguchi, J. Phys. Soc. Jpn. 55 (1986), 323[JPSJ].
  34. S. Miyashita and H. Shiba, J. Phys. Soc. Jpn. 53 (1984), 1145[JPSJ].
  35. H. Kawamura and S. Miyashita, J. Phys. Soc. Jpn. 53 (1984), 9[JPSJ]; ibid. 53 (1984), 4138[JPSJ].
  36. K. Hirakawa, H. Kadowaki and K. Ubukoshi, J. Phys. Soc. Jpn. 54 (1985), 3526[JPSJ].

Citing Article(s) :

  1. Journal of the Physical Society of Japan 62 (1993) pp. 880-887 :
    Thermodynamic Properties of Antiferromagnetic Quantum XY-Model on the Triangular Lattice
    Shigeo Homma, Hirotsugu Matsuda, Naofumi Ogita and Kazuhiro Sano
  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. 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. 89 No. 6 (1993) pp. 1167-1173 :
    A Modified Decoupled Cell Method of Quantum Monte Carlo Calculation
    Sanzo Miyazawa, Seiji Miyashita, Miloje S. Makivic and Shigeo Homma

[PTP HOME] [BROWSE] [SEARCH] [SUBSCRIPTION] [SUBMISSION] [REGISTRATION]

Copyright © Progress of Theoretical Physics 2013 All rights reserved.