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Prog. Theor. Phys. Vol. 60 No. 6 (1978) pp. 1669-1685

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Monte Carlo Simulation and Static and Dynamic Critical Behavior of the Plane Rotator Model

Seiji Miyashita, Hidetoshi Nishimori, Akira Kuroda and Masuo Suzuki

Department of Physics, University of Tokyo, Tokyo 113

(Received June 5, 1978)

Abstract:

The properties of phase transition and the lower-temperature phase of the plane rotator model are studied in the square lattice with Monte Carlo method. Physical results thus obtained for this model are quite similar to those of the two-dimensional quantum XY-model, that is, the susceptibility diverges and the specific heat does not diverge at the critical point. Furthermore the size-dependence of physical quantities and scaling relations among some temperature-dependent indices are also investigated.


URL : http://ptp.ipap.jp/link?PTP/60/1669/
DOI : 10.1143/PTP.60.1669

[ Full Text PDF : OPEN SELECT (1159K) ] Citation:

References:

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Citing Article(s) :

  1. Journal of the Physical Society of Japan 58 (1989) pp. 1162-1181 :
    Interface Approach to Phase Transitions and Ordering by Monte Carlo Simulations and Its Applications to Three-Dimensional Antiferromagnetic Potts Models
    Yohtaro Ueno, Gang Sun and Ikuo Ono
  2. Journal of the Physical Society of Japan 60 (1991) pp. 1513-1522 :
    Structure of Ground States of Antiferromagnetic Ising Model with General-Spin on Triangular Lattice
    Tsuyoshi Horiguchi, Ojiro Nagai and Seiji Miyashita
  3. Journal of the Physical Society of Japan 60 (1991) pp. 1523-1532 :
    Determination of the Critical Points of Antiferromagnetic Ising Model with Next Nearest Neighbour Interactions on the Triangular Lattice
    Seiji Miyashita, Hidetsugu Kitatani and Yasumasa Kanada
  4. Journal of the Physical Society of Japan 64 (1995) pp. 4509-4512 :
    Existence of Phase Transition in Ising-like Heisenberg Antiferromagnets on the Kagome Lattice
    Akiyoshi Kuroda and Seiji Miyashita
  5. Journal of the Physical Society of Japan 66 (1997) pp. 215-223 :
    Phase Diagram of Three-Dimensional Site-Random Ising Model
    Koji Hukushima, Yoshihiko Nonomura, Yukiyasu Ozeki and Hajime Takayama
  6. Journal of the Physical Society of Japan 67 (1998) pp. 816-824 :
    Critical Exponents of Ising-Like Heisenberg Antiferromagnets on the Hexagonal Lattice
    Seizo Watarai and Seiji Miyashita
  7. Journal of the Physical Society of Japan 69 (2000) pp. 2250-2260 :
    Phase Diagram of Ising-Like Heisenberg Model on the Triangular Lattice with Degenerate Orbital Effect
    Takuya Arimori and Seiji Miyashita
  8. Progress of Theoretical Physics Vol. 62 No. 4 (1979) pp. 927-935 :
    Magnetic Correlation Function of the Two-Dimensional Planar Spin Model
    Yukio Saito
  9. Progress of Theoretical Physics Vol. 63 No. 3 (1980) pp. 797-807 :
    Monte Carlo Simulation of the Plane Rotator Model. II
    Seiji Miyashita
  10. Progress of Theoretical Physics Vol. 65 No. 1 (1981) pp. 164-171 :
    Vortices in Two- Dimensional Anisotropic σ Models
    Tadashi Watanabe and Hideharu Otsu
  11. Progress of Theoretical Physics Vol. 65 No. 5 (1981) pp. 1595-1602 :
    Monte Carlo Simulation of the Plane Rotator Model. III
    Seiji Miyashita
  12. Progress of Theoretical Physics Supplement No.80 (1984) pp. 139-145 :
    Surface-Induced Precursor Effect of Phase Transition and the Central Peak
    Tsuyoshi Murao
  13. Progress of Theoretical Physics Supplement No.87 (1986) pp. 112-126 :
    The Ground State and Thermodynamic Properties of Generalized Heisenberg Models on the Triangular Lattice
    Seiji Miyashita
  14. Progress of Theoretical Physics Supplement No.87 (1986) pp. 268-272 :
    On Long Range Chiral Order of the s = 1/2 XY and Heisenberg Antiferromagnets on the Triangular Lattice
    Sumiyoshi Fujiki and Donald D. Betts

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