SPIN-S QUANTUM CHAINS AND TEMPERLEY-LIEB ALGEBRAS

被引:38
作者
BATCHELOR, MT
BARBER, MN
机构
[1] AUSTRALIAN NATL UNIV,CTR MATH ANAL,SCH MATH SCI,CANBERRA,ACT 2601,AUSTRALIA
[2] AUSTRALIAN NATL UNIV,DEPT MATH,CANBERRA,ACT 2601,AUSTRALIA
来源
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL | 1990年 / 23卷 / 01期
关键词
D O I
10.1088/0305-4470/23/1/004
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
The authors construct a family of isotropic spin-s quantum chains consisting of sums of operators satisfying a Temperley-Lieb algebra. Exact values for the infinite lattice limit of the ground-state energy per site and for the (non-zero) gap to the lowest energy excited state follow from the Temperley-Lieb equivalence with a Bethe ansatz soluble XXZ model. The family of spin chains includes the biquadratic spin-1 model.
引用
收藏
页码:L15 / L21
页数:7
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