TRANSITION POINT OF THE 5-STATE DISCRETE VECTOR MODEL

被引:7
作者
NISHIMORI, H
机构
[1] Department of Physics, University of Tokyo, Tokyo
关键词
D O I
10.1016/0378-4371(79)90098-0
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
The transition point of the five-state discrete vector model (planar Potts model) in two spatial dimensions is determined exactly by using a duality transformation. Also a comment is made on the justification of the uniqueness assumption of the transition point by the real space renormalization group technique. © 1979.
引用
收藏
页码:589 / 596
页数:8
相关论文
共 16 条
[1]   Statistics of two-dimensional lattices with four components [J].
Ashkin, J ;
Teller, E .
PHYSICAL REVIEW, 1943, 64 (5/6) :178-184
[2]   EXACT SOLUTION OF SOME LATTICE STATISTICS MODEELS WITH 4 STATES PER SITE [J].
BETTS, DD .
CANADIAN JOURNAL OF PHYSICS, 1964, 42 (08) :1564-&
[3]   RENORMALIZATION, VORTICES, AND SYMMETRY-BREAKING PERTURBATIONS IN 2-DIMENSIONAL PLANAR MODEL [J].
JOSE, JV ;
KADANOFF, LP ;
KIRKPATRICK, S ;
NELSON, DR .
PHYSICAL REVIEW B, 1977, 16 (03) :1217-1241
[4]   NOTES ON MIGDALS RECURSION FORMULAS [J].
KADANOFF, LP .
ANNALS OF PHYSICS, 1976, 100 (1-2) :359-394
[5]   STATISTICS OF 2-DIMENSIONAL LATTICES WITH MANY COMPONENTS [J].
KIHARA, T ;
MIDZUNO, Y ;
SHIZUME, T .
JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN, 1954, 9 (05) :681-687
[6]   EXACT TRANSITION-TEMPERATURE OF POTTS MODEL WITH Q STATES PER SITE FOR TRIANGULAR AND HONEYCOMB LATTICES [J].
KIM, D ;
JOSEPH, RI .
JOURNAL OF PHYSICS C-SOLID STATE PHYSICS, 1974, 7 (08) :L167-L169
[7]   Statistics of the two-dimensional ferromagnet Part I [J].
Kramers, HA ;
Wannier, GH .
PHYSICAL REVIEW, 1941, 60 (03) :252-262
[8]  
MIGDAL AA, 1975, ZH EKSP TEOR FIZ+, V69, P1457
[9]   DUAL TRANSFORMATIONS IN MANY-COMPONENT ISING MODELS [J].
MITTAG, L ;
STEPHEN, MJ .
JOURNAL OF MATHEMATICAL PHYSICS, 1971, 12 (03) :441-&
[10]   MONTE-CARLO SIMULATION AND STATIC AND DYNAMIC CRITICAL BEHAVIOR OF THE PLANE ROTATOR MODEL [J].
MIYASHITA, S ;
NISHIMORI, H ;
KURODA, A ;
SUZUKI, M .
PROGRESS OF THEORETICAL PHYSICS, 1978, 60 (06) :1669-1685