CRITICAL EXPONENTS OF THE 3D ANTIFERROMAGNETIC 3-STATE POTTS-MODEL USING THE COHERENT-ANOMALY METHOD

被引:12
作者
KOLESIK, M
SUZUKI, M
机构
[1] UNIV TOKYO, DEPT PHYS, BUNKYO KU, TOKYO 113, JAPAN
[2] SLOVAK ACAD SCI, INST PHYS, BRATISLAVA 84228, SLOVAKIA
关键词
D O I
10.1016/0378-4371(95)00086-M
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
The antiferromagnetic three-state Potts model on the simple-cubic lattice is studied using the coherent-anomaly method (CAM). The CAM analysis provides the estimates for the critical exponents which indicate the XY universality class, namely alpha = -0.011, beta = 0.351, gamma = 1.309 and delta = 4.73. This observation corroborates the results of the recent Monte Carlo simulations, and disagrees with the proposal of a new universality class.
引用
收藏
页码:469 / 477
页数:9
相关论文
共 21 条
[1]   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
[2]   SYMMETRY RELATIONS IN 16-VERTEX MODEL [J].
GAAFF, A ;
HIJMANS, J .
PHYSICA A, 1975, 80 (02) :149-171
[3]   3-STATE ANTIFERROMAGNETIC POTTS-MODEL IN 3 DIMENSIONS - UNIVERSALITY AND CRITICAL AMPLITUDES [J].
GOTTLOB, AP ;
HASENBUSCH, M .
PHYSICA A, 1994, 210 (1-2) :217-236
[4]   THE XY-MODEL AND THE 3-STATE ANTIFERROMAGNETIC POTTS-MODEL IN 3 DIMENSIONS - CRITICAL PROPERTIES FROM FLUCTUATING BOUNDARY-CONDITIONS [J].
GOTTLOB, AP ;
HASENBUSCH, M .
JOURNAL OF STATISTICAL PHYSICS, 1994, 77 (3-4) :919-930
[5]   COHERENT ANOMALY METHOD IN CRITICAL PHENOMENA .2. APPLICATIONS TO THE TWO-DIMENSIONAL AND 3-DIMENSIONAL ISING-MODELS [J].
KATORI, M ;
SUZUKI, M .
JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN, 1987, 56 (09) :3113-3125
[6]   ACCURATE ESTIMATES OF 3D ISING CRITICAL EXPONENTS USING THE COHERENT-ANOMALY METHOD [J].
KOLESIK, M ;
SUZUKI, M .
PHYSICA A, 1995, 215 (1-2) :138-151
[7]   NO-FREE-ENDS METHOD FOR LATTICE ANIMALS AND VERTEX MODELS WITH ARBITRARY NUMBER OF STATES [J].
KOLESIK, M .
PHYSICA A, 1994, 202 (3-4) :529-539
[8]   EVIDENCE FOR THE NONUNIVERSALITY OF A 3D VERTEX MODEL [J].
KOLESIK, M ;
SAMAJ, L .
PHYSICS LETTERS A, 1993, 177 (01) :87-92
[9]   NEW VARIATIONAL SERIES EXPANSIONS FOR LATTICE MODELS [J].
KOLESIK, M ;
SAMAJ, L .
JOURNAL DE PHYSIQUE I, 1993, 3 (01) :93-106
[10]   SERIES EXPANSION AND CAM STUDY OF THE NONUNIVERSAL BEHAVIOR OF THE SYMMETRICAL 16-VERTEX MODEL [J].
KOLESIK, M ;
SAMAJ, L .
JOURNAL OF STATISTICAL PHYSICS, 1993, 72 (5-6) :1203-1226