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.

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页码：3733 / 3740

页数：8

相关论文

共 45 条

[1] UNIVERSAL TERM IN THE FREE-ENERGY AT A CRITICAL-POINT AND THE CONFORMAL ANOMALY [J].

AFFLECK, I .

PHYSICAL REVIEW LETTERS, 1986, 56 (07) :746-748

[2] CONFORMAL-INVARIANCE, THE XXZ CHAIN AND THE OPERATOR CONTENT OF TWO-DIMENSIONAL CRITICAL SYSTEMS [J].

ALCARAZ, FC ;

BARBER, MN ;

BATCHELOR, MT .

ANNALS OF PHYSICS, 1988, 182 (02) :280-343

[3] CONFORMAL-INVARIANCE AND THE SPECTRUM OF THE XXZ CHAIN [J].

ALCARAZ, FC ;

BARBER, MN ;

BATCHELOR, MT .

PHYSICAL REVIEW LETTERS, 1987, 58 (08) :771-774

[4] ON THE CRITICAL-BEHAVIOR OF THE ANISOTROPIC BIQUADRATIC SPIN-1 CHAIN [J].

ALCARAZ, FC ;

MALVEZZI, AL .

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1992, 25 (17) :4535-4546

[5] SPECTRUM OF THE BIQUADRATIC SPIN-1 ANTIFERROMAGNETIC CHAIN [J].

BARBER, MN ;

BATCHELOR, MT .

PHYSICAL REVIEW B, 1989, 40 (07) :4621-4626

[6] CONFORMAL-INVARIANCE AND CRITICAL-BEHAVIOR OF THE O(N) MODEL ON THE HONEYCOMB LATTICE [J].

BATCHELOR, MT ;

BLOTE, HWJ .

PHYSICAL REVIEW B, 1989, 39 (04) :2391-2402

[7] CONFORMAL ANOMALY AND SCALING DIMENSIONS OF THE O(N) MODEL FROM AN EXACT SOLUTION ON THE HONEYCOMB LATTICE [J].

BATCHELOR, MT ;

BLOTE, HWJ .

PHYSICAL REVIEW LETTERS, 1988, 61 (02) :138-140

[8] Q-DEFORMATIONS OF THE O(3) SYMMETRIC SPIN-1 HEISENBERG CHAIN [J].

BATCHELOR, MT ;

MEZINCESCU, L ;

NEPOMECHIE, RI ;

RITTENBERG, V .

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1990, 23 (04) :L141-L144

[9] BETHE-ANSATZ RESULTS FOR A SOLVABLE O(N) MODEL ON THE SQUARE LATTICE [J].

BATCHELOR, MT ;

NIENHUIS, B ;

WARNAAR, SO .

PHYSICAL REVIEW LETTERS, 1989, 62 (21) :2425-2428

[10]

BATCHELOR MT, 1990, PROG THEOR PHYS, V102, P39

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