ACCURATE ESTIMATES OF 3D ISING CRITICAL EXPONENTS USING THE COHERENT-ANOMALY METHOD

被引:19
作者
KOLESIK, M [1 ]
SUZUKI, M [1 ]
机构
[1] SLOVAK ACAD SCI,INST PHYS,BRATISLAVA 84228,SLOVAKIA
来源
PHYSICA A | 1995年 / 215卷 / 1-2期
关键词
D O I
10.1016/0378-4371(94)00302-A
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
An analysis of the critical behavior of the three-dimensional Ising model using the coherent-anomaly method (CAM) is presented. Various sources of errors in CAM estimates of critical exponents are discussed, and an improved scheme for the CAM data analysis is tested. Using a set of mean-field type approximations based on the variational series expansion approach, accuracy comparable to the most precise conventional methods has been achieved. Our results for the critical exponents are given by alpha = 0.108(5), beta = 0.327(4), gamma = 1.237(4) and delta = 4.77(5).
引用
收藏
页码:138 / 151
页数:14
相关论文
共 32 条
[1]   UNBIASED MAP OF THE TEMPERATURE PLANE AND ITS CONSEQUENCES FOR THE D=3 ISING-MODEL [J].
ADLER, J ;
MOSHE, M ;
PRIVMAN, V .
PHYSICAL REVIEW B, 1982, 26 (07) :3958-3959
[2]   CRITICAL-TEMPERATURES OF THE D=3, S=1/2 ISING-MODEL - THE EFFECT OF CONFLUENT CORRECTIONS TO SCALING [J].
ADLER, J .
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1983, 16 (15) :3585-3599
[3]   MONTE-CARLO RENORMALIZATION-GROUP STUDY OF THE 3-DIMENSIONAL ISING-MODEL [J].
BAILLIE, CF ;
GUPTA, R ;
HAWICK, KA ;
PAWLEY, GS .
PHYSICAL REVIEW B, 1992, 45 (18) :10438-10453
[4]   SPECIFIC-HEAT EXPONENT FOR THE 3-DIMENSIONAL ISING-MODEL FROM A 24TH-ORDER HIGH-TEMPERATURE SERIES [J].
BHANOT, G ;
CREUTZ, M ;
GLASSNER, U ;
SCHILLING, K .
PHYSICAL REVIEW B, 1994, 49 (18) :12909-12914
[5]   LOW-TEMPERATURE EXPANSION FOR THE ISING-MODEL [J].
BHANOT, G ;
CREUTZ, M ;
LACKI, J .
PHYSICAL REVIEW LETTERS, 1992, 69 (13) :1841-1844
[6]   CONTINUOUS SEQUENCE OF MEAN-FIELD APPROXIMATIONS AND CRITICAL PHENOMENA [J].
CENEDESE, P ;
SANCHEZ, JM ;
KIKUCHI, R .
PHYSICA A, 1994, 209 (1-2) :257-267
[7]   CRITICAL-BEHAVIOR OF THE 3-DIMENSIONAL ISING-MODEL - A HIGH-RESOLUTION MONTE-CARLO STUDY [J].
FERRENBERG, AM ;
LANDAU, DP .
PHYSICAL REVIEW B, 1991, 44 (10) :5081-5091
[8]   STUDY OF COHERENT ANOMALIES AND CRITICAL EXPONENTS BASED ON HIGH-LEVEL CLUSTER-VARIATION APPROXIMATIONS [J].
FUJIKI, S ;
KATORI, M ;
SUZUKI, M .
JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN, 1990, 59 (08) :2681-2687
[9]   SYMMETRY RELATIONS IN 16-VERTEX MODEL [J].
GAAFF, A ;
HIJMANS, J .
PHYSICA A, 1975, 80 (02) :149-171
[10]   VALIDITY OF HYPERSCALING FOR THE D=3 ISING-MODEL [J].
GUTTMANN, AJ .
PHYSICAL REVIEW B, 1986, 33 (07) :5089-5092