Finite-size-scaling study of the anisotropic spin-1/2 Ashkin-Teller model

被引:12
作者
Badehdah, M
Bekhechi, S
Benyoussef, A
Touzani, M
机构
[1] Univ Mohammed V, Fac Sci, Dept Phys, Lab Magnetisme & Phys Hautes Energies, Rabat, Morocco
[2] ENSET, Lab Mat Sci & Tech Energies Renouvelables, Rabat, Morocco
来源
PHYSICA B | 2000年 / 291卷 / 3-4期
关键词
Ashkin-Teller model; anisotropic spin; transfer matrix finite size scaling; partially ordered phase; nonuniversality;
D O I
10.1016/S0921-4526(00)00279-9
中图分类号
O469 [凝聚态物理学];
学科分类号
070205 ;
摘要
Using transfer-matrix finite-size-scaling (TMFSS), we investigate the anisotropic spin-1/2 Ashkin-Teller model (ATM) where the two bilinear interactions are different (L-2 not equal J(2)) and with a four coupling interaction K-4. Conclusive numerical evidence is obtained, indicating the presence of another partially ordered phase in the phase diagram. Also, from exponents calculations we show that all the transitions are in the Ising universality except for the multicritical point B-4 which is nonuniversal. (C) 2000 Elsevier Science B.V. All rights reserved.
引用
收藏
页码:394 / 399
页数:6
相关论文
共 23 条
[1]   Statistics of two-dimensional lattices with four components [J].
Ashkin, J ;
Teller, E .
PHYSICAL REVIEW, 1943, 64 (5/6) :178-184
[2]   Numerical study of the spin-1 Ashkin-Teller model [J].
Badehdah, M ;
Bekhechi, S ;
Benyoussef, A ;
Ettaki, B .
PHYSICAL REVIEW B, 1999, 59 (09) :6250-6255
[3]  
BAK P, 1985, PHYS REV LETT, V54, P1542, DOI DOI 10.1103/PHYSREVLETT.54.1539
[4]   FLUCTUATION-INDUCED 1ST-ORDER TRANSITION IN A BCC ISING-MODEL WITH COMPETING INTERACTIONS [J].
BANAVAR, JR ;
JASNOW, D ;
LANDAU, DP .
PHYSICAL REVIEW B, 1979, 20 (09) :3820-3827
[5]   FINITE-SIZE SCALING STUDY OF THE TWO-DIMENSIONAL BLUME-CAPEL MODEL [J].
BEALE, PD .
PHYSICAL REVIEW B, 1986, 33 (03) :1717-1720
[6]   Phase transitions in the anisotropic Ashkin-Teller model [J].
Bekhechi, S ;
Benyoussef, A ;
Elkenz, A ;
Ettaki, B ;
Loulidi, M .
PHYSICA A, 1999, 264 (3-4) :503-514
[7]   Multicritical behavior of the antiferromagnetic spin-3/2 Blume-Capel model: Finite-size-scaling and Monte Carlo studies [J].
Bekhechi, S ;
Benyoussef, A .
PHYSICAL REVIEW B, 1997, 56 (21) :13954-13959
[8]  
CARDY JL, 1984, J PHYS A, V17, P385
[9]   APPLICATION OF THE PHENOMENOLOGICAL RENORMALIZATION TO PERCOLATION AND LATTICE ANIMALS IN DIMENSION-2 [J].
DERRIDA, B ;
DESEZE, L .
JOURNAL DE PHYSIQUE, 1982, 43 (03) :475-483