THE TEMPERLEY-LIEB-JONES ALGEBRA AND SYMMETRY GROUP IN HEISENBERG SPIN MODELS IN ONE AND 2 DIMENSIONS
文献类型：期刊论文
| 作者 | YAN, H; FEI, SM; FEI, SM , ACAD SINICA,INST THEORET PHYS,POB 2735,BEIJING 100080,PEOPLES R CHINA. |
| 刊名 | COMMUNICATIONS IN THEORETICAL PHYSICS
 |
| 出版日期 | 1993 |
| 卷号 | 19期号:1页码:49-56 |
| 关键词 | Quantum Analog Xxz Representations Lattice |
| ISSN号 | 0253-6102 |
| 英文摘要 | We present a systematic method to construct the spin models of Heisenberg type in higher dimensions with nearest and non-nearest neighbour interactions. These models constructed in this way are of Temperley-Lieb-Jones (TLJ) algebraic structures and SU(2)-invariances. The TLJ algebra is generalized to adjusting the lattice spin models. The Hamiltonians of Heisenberg spin models in one dimension (including second nearest neighbour interactions) and in two-dimensional triangular lattice (with nearest interaction) are constructed explicitly. The hidden symmetries are shown to be the SU(2) group, and the terms in Hamiltonian for different lattice cells are explicitly shown to be the representations of elements of (TLJ) algebra. |
| 学科主题 | Physics |
| 公开日期 | 2012-08-29 |
| 源URL | [http://ir.itp.ac.cn/handle/311006/12096]  |
| 专题 | 理论物理研究所_理论物理所1978-2010年知识产出 |
| 通讯作者 | FEI, SM , ACAD SINICA,INST THEORET PHYS,POB 2735,BEIJING 100080,PEOPLES R CHINA. |
| 推荐引用方式 GB/T 7714 | YAN, H,FEI, SM,FEI, SM , ACAD SINICA,INST THEORET PHYS,POB 2735,BEIJING 100080,PEOPLES R CHINA.. THE TEMPERLEY-LIEB-JONES ALGEBRA AND SYMMETRY GROUP IN HEISENBERG SPIN MODELS IN ONE AND 2 DIMENSIONS[J]. COMMUNICATIONS IN THEORETICAL PHYSICS,1993,19(1):49-56. |
| APA | YAN, H,FEI, SM,&FEI, SM , ACAD SINICA,INST THEORET PHYS,POB 2735,BEIJING 100080,PEOPLES R CHINA..(1993).THE TEMPERLEY-LIEB-JONES ALGEBRA AND SYMMETRY GROUP IN HEISENBERG SPIN MODELS IN ONE AND 2 DIMENSIONS.COMMUNICATIONS IN THEORETICAL PHYSICS,19(1),49-56. |
| MLA | YAN, H,et al."THE TEMPERLEY-LIEB-JONES ALGEBRA AND SYMMETRY GROUP IN HEISENBERG SPIN MODELS IN ONE AND 2 DIMENSIONS".COMMUNICATIONS IN THEORETICAL PHYSICS 19.1(1993):49-56. |
入库方式： OAI收割
来源：理论物理研究所
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