3-STATE ANTIFERROMAGNETIC POTTS MODELS - A MONTE-CARLO STUDY

被引:112
作者
WANG, JS
SWENDSEN, RH
KOTECKY, R
机构
[1] KERNFORSCHUNGSZENTRUM KARLSRUHE GMBH, HLRZ, W-7500 KARLSRUHE 1, GERMANY
[2] CARNEGIE MELLON UNIV, DEPT PHYS, PITTSBURGH, PA 15213 USA
[3] CHARLES UNIV, DEPT MATH PHYS, CS-18000 PRAGUE 8, CZECHOSLOVAKIA
关键词
D O I
10.1103/PhysRevB.42.2465
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
We present a study of the three-state antiferromagnetic Potts model in two and three dimensions, using a cluster-flip Monte Carlo simulation algorithm. The new approach enables us to perform simulations with greatly improved efficiency. We have obtained results for the ground-state entropy and critical exponents in two and three dimensions. The low-temperature phase in three dimensions is shown to have long-range order with a finite-size dependence of the magnetization and susceptibility similar to that of the XY model. © 1990 The American Physical Society.
引用
收藏
页码:2465 / 2474
页数:10
相关论文
共 59 条
[1]   BEHAVIOR OF THE BOREL RESUMMATIONS FOR THE CRITICAL EXPONENTS OF THE N-VECTOR MODEL [J].
ALBERT, DZ .
PHYSICAL REVIEW B, 1982, 25 (07) :4810-4814
[2]  
[Anonymous], 1979, MONTE CARLO METHODS
[3]   ANTI-FERROMAGNETIC POTTS AND ASHKIN-TELLER MODELS IN 3 DIMENSIONS [J].
BANAVAR, JR ;
GREST, GS ;
JASNOW, D .
PHYSICAL REVIEW B, 1982, 25 (07) :4639-4650
[4]   ANTIFERROMAGNETIC POTTS-MODEL WITH COMPETING INTERACTIONS [J].
BANAVAR, JR ;
WU, FY .
PHYSICAL REVIEW B, 1984, 29 (03) :1511-1513
[5]   ORDERING AND PHASE-TRANSITIONS IN ANTI-FERROMAGNETIC POTTS MODELS [J].
BANAVAR, JR ;
GREST, GS ;
JASNOW, D .
PHYSICAL REVIEW LETTERS, 1980, 45 (17) :1424-1428
[6]   CRITICAL ANTI-FERROMAGNETIC SQUARE-LATTICE POTTS-MODEL [J].
BAXTER, RJ .
PROCEEDINGS OF THE ROYAL SOCIETY OF LONDON SERIES A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 1982, 383 (1784) :43-54
[7]   GROUND-STATE ENTROPY AND ALGEBRAIC ORDER AT LOW-TEMPERATURES [J].
BERKER, AN ;
KADANOFF, LP .
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1980, 13 (07) :L259-L264
[8]   FINITE SIZE SCALING ANALYSIS OF ISING-MODEL BLOCK DISTRIBUTION-FUNCTIONS [J].
BINDER, K .
ZEITSCHRIFT FUR PHYSIK B-CONDENSED MATTER, 1981, 43 (02) :119-140
[9]  
BINDER K, 1984, APPLICATIONS MONTE C
[10]   A UNIFIED APPROACH TO PHASE-DIAGRAMS IN FIELD-THEORY AND STATISTICAL-MECHANICS [J].
BORGS, C ;
IMBRIE, JZ .
COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1989, 123 (02) :305-328