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题名: THE TEMPERLEY-LIEB-JONES ALGEBRA AND SYMMETRY GROUP IN HEISENBERG SPIN MODELS IN ONE AND 2 DIMENSIONS
作者: FEI, SM ;  YAN, H
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
学科分类: Physics
通讯作者: FEI, SM , ACAD SINICA,INST THEORET PHYS,POB 2735,BEIJING 100080,PEOPLES R CHINA.
部门归属: CCAST,WORLD LAB,BEIJING 100080,PEOPLES R CHINA
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.
收录类别: SCI
内容类型: 期刊论文
URI标识: http://ir.itp.ac.cn/handle/311006/12096
Appears in Collections:理论物理所1978-2010年知识产出_期刊论文

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Recommended Citation:
FEI, SM,YAN, H. 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.
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文件名: THE TEMPERLEY-LIEB-JONES ALGEBRA AND SYMMETRY GROUP IN HEISENBERG SPIN MODELS IN ONE AND 2 DIMENSIONS.pdf
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