ACCURATE DETERMINATION OF THE CRITICAL LINE OF THE SQUARE ISING ANTIFERROMAGNET IN A FIELD

被引:36
作者
BLOTE, HWJ [1 ]
WU, XN [1 ]
机构
[1] NORTHEASTERN UNIV,DEPT PHYS,BOSTON,MA 02115
来源
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL | 1990年 / 23卷 / 12期
关键词
D O I
10.1088/0305-4470/23/12/008
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
Several points on the critical line of the simple quadratic antiferromagnetic Ising model in a field are located with high precision. This is accomplished by means of finite-size scaling of the magnetic correlation length of n* infinity strips. The latter quantities were determined by means of the transfer matrix method for strip widths up to n=20. An expression, possibly with the exact form, is constructed which reproduces the critical line with an accuracy to the order of 10-10.
引用
收藏
页码:L627 / L631
页数:5
相关论文
共 20 条
[1]  
BARBER MN, 1983, PHASE TRANSITIONS CR, V2
[2]   HARD-SQUARE LATTICE GAS [J].
BAXTER, RJ ;
ENTING, IG ;
TSANG, SK .
JOURNAL OF STATISTICAL PHYSICS, 1980, 22 (04) :465-489
[3]   ORDER-DISORDER OF NONSTOICHIOMETRIC BINARY ALLOYS AND ISING ANTIFERROMAGNETS IN MAGNETIC FIELDS [J].
BIENENSTOCK, A ;
LEWIS, J .
PHYSICAL REVIEW, 1967, 160 (02) :393-+
[4]  
Blote H. W. J., 1990, International Journal of Modern Physics B, V4, P619, DOI 10.1142/S0217979290000322
[5]   CORRECTIONS TO SCALING AT TWO-DIMENSIONAL ISING TRANSITIONS [J].
BLOTE, HWJ ;
DENNIJS, MPM .
PHYSICAL REVIEW B, 1988, 37 (04) :1766-1778
[6]   LATTICE STATISTICS IN A MAGNETIC FIELD .1. A 2-DIMENSIONAL SUPER-EXCHANGE ANTIFERROMAGNET [J].
FISHER, ME .
PROCEEDINGS OF THE ROYAL SOCIETY OF LONDON SERIES A-MATHEMATICAL AND PHYSICAL SCIENCES, 1960, 254 (1276) :66-85
[7]   AN EXACT RESULT FOR THE KAGOME LATTICE ISING-MODEL WITH MAGNETIC-FIELD [J].
GIACOMINI, H .
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1988, 21 (01) :L31-L36
[9]   SQUARE-LATTICE ISING-MODEL IN A WEAK UNIFORM MAGNETIC-FIELD - RENORMALIZATION-GROUP ANALYSIS [J].
KAUFMAN, M .
PHYSICAL REVIEW B, 1987, 36 (07) :3697-3700
[10]  
Kong X. P., 1987, Progress of Theoretical Physics, V77, P514, DOI 10.1143/PTP.77.514