MONTE-CARLO RENORMALIZATION GROUP AND ISING MODELS WITH N GREATER-THAN-OR-EQUAL-TO 2

被引:118
作者
SWENDSEN, RH
KRINSKY, S
机构
关键词
D O I
10.1103/PhysRevLett.43.177
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
We suggest that the Monte Carlo renormalization group, when combined with the type of cell-spin transformation introduced by van Leeuwen, should be a powerful tool in the study of Ising models with n>~2. Numerical results are presented for the Baxter model and the Ising model with nearest- and next-nearest-neighbor interactions on a square lattice. © 1979 The American Physical Society.
引用
收藏
页码:177 / 180
页数:4
相关论文
共 25 条
[1]   SPONTANEOUS ORDER OF 8-VERTEX MODEL [J].
BARBER, MN ;
BAXTER, RJ .
JOURNAL OF PHYSICS C-SOLID STATE PHYSICS, 1973, 6 (20) :2913-2921
[2]   PARTITION-FUNCTION OF 8-VERTEX LATTICE MODEL [J].
BAXTER, RJ .
ANNALS OF PHYSICS, 1972, 70 (01) :193-&
[3]   POTTS MODEL AT CRITICAL-TEMPERATURE [J].
BAXTER, RJ .
JOURNAL OF PHYSICS C-SOLID STATE PHYSICS, 1973, 6 (23) :L445-L448
[4]  
BAXTER RJ, 1973, J PHYS C, V7, P2913
[5]  
BINDER K, UNPUBLISHED
[6]  
BLOTE HWJ, UNPUBLISHED
[7]   MODIFIED UNIVERSALITY HYPOTHESIS FOR 8-VERTEX MODEL [J].
GUNTON, JD ;
NIEMEIJER, T .
PHYSICAL REVIEW B, 1975, 11 (01) :567-569
[8]   VERTICAL ARROW CORRELATION LENGTH IN 8-VERTEX MODEL AND LOW-LYING EXCITATIONS OF X-Y-Z HAMILTONIAN [J].
JOHNSON, JD ;
KRINSKY, S ;
MCCOY, BM .
PHYSICAL REVIEW A, 1973, 8 (05) :2526-2547
[9]   CONNECTIONS BETWEEN CRITICAL BEHAVIOR OF PLANAR MODEL AND THAT OF 8-VERTEX MODEL [J].
KADANOFF, LP .
PHYSICAL REVIEW LETTERS, 1977, 39 (15) :903-905
[10]   SOME CRITICAL PROPERTIES OF 8-VERTEX MODEL [J].
KADANOFF, LP ;
WEGNER, FJ .
PHYSICAL REVIEW B, 1971, 4 (11) :3989-&