EXACT RESULTS FOR THE CRITICAL-BEHAVIOR OF A NIENHUIS O(N) MODEL ON THE SQUARE LATTICE

被引:7
作者
BATCHELOR, MT
机构
[1] Dept. of Math., Sch. of Math. Sci., Australian Nat. Univ., Canberra, ACT
来源
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL | 1993年 / 26卷 / 15期
关键词
D O I
10.1088/0305-4470/26/15/023
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
Exact results are obtained for a square lattice fifteen-vertex model and related O(n) model recently proposed by Nienhuis. The partition function per site and finite-size corrections are obtained, along with the critical exponents via the Temperley-Lieb equivalent six-vertex model. The exact exponents nu = 4/7 and gamma = 6/7 follow in the limit n = 0 for even system sizes. Odd system sizes are also discussed. The fifteen-vertex model is also the vertex formulation of the anisotropic, or q-deformed, spin-1 biquadratic model.
引用
收藏
页码:3733 / 3740
页数:8
相关论文
共 45 条
[41]   SOLVABLE LATTICE MODELS LABELED BY DYNKIN DIAGRAMS [J].
WARNAAR, SO ;
NIENHUIS, B .
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1993, 26 (10) :2301-2316
[42]  
WARNAAR SO, 1992, COMMUNICATION
[43]   EXCITATION SPECTRUM OF THE SPIN-1/2 HEISENBERG CHAIN AND CONFORMAL-INVARIANCE [J].
WOYNAROVICH, F .
PHYSICAL REVIEW LETTERS, 1987, 59 (03) :259-261
[44]  
Wu F Y., 1972, PHASE TRANSITIONS CR, V1, P331
[45]  
ZAMOLODCHIKOV AB, 1980, SOV J NUCL PHYS+, V32, P298