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THE TEMPERLEY-LIEB-JONES ALGEBRA AND SYMMETRY GROUP IN HEISENBERG SPIN MODELS IN ONE AND 2 DIMENSIONS
FEI, SM; YAN, H; FEI, SM , ACAD SINICA,INST THEORET PHYS,POB 2735,BEIJING 100080,PEOPLES R CHINA.
1993
发表期刊COMMUNICATIONS IN THEORETICAL PHYSICS
ISSN0253-6102
卷号19期号:1页码:49-56
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.
部门归属CCAST,WORLD LAB,BEIJING 100080,PEOPLES R CHINA
关键词Quantum Analog Xxz Representations Lattice
学科领域Physics
收录类别SCI
文献类型期刊论文
条目标识符http://ir.itp.ac.cn/handle/311006/12096
专题理论物理所SCI论文
通讯作者FEI, SM , ACAD SINICA,INST THEORET PHYS,POB 2735,BEIJING 100080,PEOPLES R CHINA.
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GB/T 7714
FEI, SM,YAN, H,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 FEI, SM,YAN, H,&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 FEI, SM,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.
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