PHASE-TRANSITIONS IN THE 3-STATE ANTIFERROMAGNETIC POTTS-MODEL

被引:11
作者
KUNDROTAS, PJ
LAPINSKAS, S
ROSENGREN, A
机构
[1] Department of Theoretical Physics, Royal Institute of Technology
来源
PHYSICAL REVIEW B | 1995年 / 52卷 / 13期
关键词
D O I
10.1103/PhysRevB.52.9166
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
The three-state antiferromagnetic Potts model on the simple cubic lattice is studied by the Monte Carlo method using a new order parameter and employing the histogram technique. It is shown that apart from the low-temperature broken-sublattice-symmetry phase with nonequivalent sublattices, another type of ordering with equivalent sublattices does exist in the model between the broken-sublattice-symmetry and disordered phases. The temperature of the transition between the ordered phases is estimated from the histogram of the order parameter. The value obtained is in good agreement with that obtained from cluster variation calculations.
引用
收藏
页码:9166 / 9169
页数:4
相关论文
共 17 条
  • [1] ANTI-FERROMAGNETIC POTTS AND ASHKIN-TELLER MODELS IN 3 DIMENSIONS
    BANAVAR, JR
    GREST, GS
    JASNOW, D
    [J]. PHYSICAL REVIEW B, 1982, 25 (07): : 4639 - 4650
  • [2] ORDERING AND PHASE-TRANSITIONS IN ANTI-FERROMAGNETIC POTTS MODELS
    BANAVAR, JR
    GREST, GS
    JASNOW, D
    [J]. PHYSICAL REVIEW LETTERS, 1980, 45 (17) : 1424 - 1428
  • [3] FINITE SIZE SCALING ANALYSIS OF ISING-MODEL BLOCK DISTRIBUTION-FUNCTIONS
    BINDER, K
    [J]. ZEITSCHRIFT FUR PHYSIK B-CONDENSED MATTER, 1981, 43 (02): : 119 - 140
  • [4] FINITE-SIZE SCALING AT 1ST-ORDER PHASE-TRANSITIONS
    BINDER, K
    LANDAU, DP
    [J]. PHYSICAL REVIEW B, 1984, 30 (03): : 1477 - 1485
  • [5] Binder K., 1979, MONTE CARLO METHODS, P204, DOI [10.1007/978-3-642-96483-1, DOI 10.1007/978-3-642-96483-1]
  • [6] FINITE-SIZE EFFECTS AT TEMPERATURE-DRIVEN 1ST-ORDER TRANSITIONS
    CHALLA, MSS
    LANDAU, DP
    BINDER, K
    [J]. PHYSICAL REVIEW B, 1986, 34 (03): : 1841 - 1852
  • [7] NEW MONTE-CARLO TECHNIQUE FOR STUDYING PHASE-TRANSITIONS
    FERRENBERG, AM
    SWENDSEN, RH
    [J]. PHYSICAL REVIEW LETTERS, 1988, 61 (23) : 2635 - 2638
  • [8] ORDERING IN ANTIFERROMAGNETIC POTTS MODELS
    HOPPE, B
    HIRST, LL
    [J]. JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1985, 18 (17): : 3375 - 3380
  • [9] KOSTECKY R, 1985, PHYS REV B, V31, P3088
  • [10] BLUME-EMERY-GRIFFITHS MODEL ON 3-DIMENSIONAL LATTICES - CONSEQUENCES FOR THE ANTIFERROMAGNETIC POTTS-MODEL
    LAPINSKAS, S
    ROSENGREN, A
    [J]. PHYSICAL REVIEW B, 1994, 49 (21): : 15190 - 15196