TEMPERLEY-LIEB LATTICE MODELS ARISING FROM QUANTUM GROUPS

被引：37

作者：

BATCHELOR, MT

KUNIBA, A

机构：

[1] AUSTRALIAN NATL UNIV,SCH MATH SCI,INST ADV STUDIES,CANBERRA,ACT 2601,AUSTRALIA

[2] AUSTRALIAN NATL UNIV,INST ADV STUDIES,DEPT THEORET PHYS,CANBERRA,ACT 2601,AUSTRALIA

来源：

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL | 1991年 / 24卷 / 11期

关键词：

D O I：

10.1088/0305-4470/24/11/026

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We construct families of solvable quantum spin chains, vertex and interactions round a face (IRF) models from representations of the Temperley-Lieb algebra associated with the quantum groups U(q)(X(n)) for X(n) = A1, B(n), C(n) and D(n). We determine a correlation measuring order in the IRF models via the fusion rule in the level l X(n)(1) Wess-Zumino-Witten model.

引用

页码：2599 / 2614

页数：16

共 38 条

[1] EXACT RESULTS ON THE DIMERIZATION TRANSITION IN SU(N) ANTIFERROMAGNETIC CHAINS
AFFLECK, I
[J]. JOURNAL OF PHYSICS-CONDENSED MATTER, 1990, 2 (02) : 405 - 415
[2] 8-VERTEX SOS MODEL AND GENERALIZED ROGERS-RAMANUJAN-TYPE IDENTITIES
ANDREWS, GE
BAXTER, RJ
FORRESTER, PJ
[J]. JOURNAL OF STATISTICAL PHYSICS, 1984, 35 (3-4) : 193 - 266
[3] SPECTRUM OF THE BIQUADRATIC SPIN-1 ANTIFERROMAGNETIC CHAIN
BARBER, MN
BATCHELOR, MT
[J]. PHYSICAL REVIEW B, 1989, 40 (07): : 4621 - 4626
[4] SPIN-S QUANTUM CHAINS AND TEMPERLEY-LIEB ALGEBRAS
BATCHELOR, MT
BARBER, MN
[J]. JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1990, 23 (01): : L15 - L21
[5] Q-DEFORMATIONS OF THE O(3) SYMMETRIC SPIN-1 HEISENBERG CHAIN
BATCHELOR, MT
MEZINCESCU, L
NEPOMECHIE, RI
RITTENBERG, V
[J]. JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1990, 23 (04): : L141 - L144
[6] BATCHELOR MT, 1990, IN PRESS PROG THEOR, V102
[7] EQUIVALENCE OF POTTS MODEL OR WHITNEY POLYNOMIAL WITH AN ICE-TYPE MODEL
BAXTER, RJ
KELLAND, SB
WU, FY
[J]. JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1976, 9 (03): : 397 - 406
[8] THE INVERSION RELATION METHOD FOR SOME TWO-DIMENSIONAL EXACTLY SOLVED MODELS IN LATTICE STATISTICS
BAXTER, RJ
[J]. JOURNAL OF STATISTICAL PHYSICS, 1982, 28 (01) : 1 - 41
[9] EXACTLY SOLVABLE SOS MODELS - LOCAL HEIGHT PROBABILITIES AND THETA-FUNCTION IDENTITIES
DATE, E
JIMBO, M
KUNIBA, A
MIWA, T
OKADO, M
[J]. NUCLEAR PHYSICS B, 1987, 290 (02) : 231 - 273
[10] BRAIDS, LINK POLYNOMIALS AND TRANSFORMATIONS OF SOLVABLE MODELS
DEGUCHI, T
[J]. INTERNATIONAL JOURNAL OF MODERN PHYSICS A, 1990, 5 (11): : 2195 - 2239

← 1 2 3 4 →