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题名: Topologically distinct classes of valence-bond solid states with their parent Hamiltonians
作者: Tu, Hong-Hao ;  Zhang, Guang-Ming ;  Xiang, Tao ;  Liu, Zheng-Xin ;  Ng, Tai-Kai
刊名: PHYSICAL REVIEW B
出版日期: 2009
卷号: 80, 期号:1, 页码:-
关键词: QUANTUM SPIN CHAINS ;  DENSITY-MATRIX RENORMALIZATION ;  GROUND-STATES ;  SYMMETRY-BREAKING ;  HALL STATES ;  EDGE STATES ;  ANTIFERROMAGNETS ;  MODELS ;  SURFACES
学科分类: Physics
通讯作者: Zhang, GM , Tsinghua Univ, Dept Phys, Beijing 100084, Peoples R China
部门归属: [Tu, HH; Zhang, GM] Tsinghua Univ, Dept Phys, Beijing 100084, Peoples R China; [Xiang, T] Chinese Acad Sci, Inst Phys, Beijing 100190, Peoples R China; [Xiang, T] Chinese Acad Sci, Inst Theoret Phys, Beijing 100190, Peoples R China; [Liu, ZX; Ng, TK] Hong Kong Univ Sci & Technol, Dept Phys, Kowloon, Hong Kong, Peoples R China
英文摘要: We present a general method to construct one-dimensional translationally invariant valence-bond solid states with a built-in Lie group G and derive their matrix product representations. The general strategies to find their parent Hamiltonians are provided so that the valence-bond solid states are their unique ground states. For quantum integer-spin-S chains, we discuss two topologically distinct classes of valence-bond solid states: one consists of two virtual SU(2) spin-J variables in each site and another is formed by using two SO(2S+1) spinors. Among them, a spin-1 fermionic valence-bond solid state, its parent Hamiltonian, and its properties are discussed in detail. Moreover, two types of valence-bond solid states with SO(5) symmetries are further generalized and their respective properties are analyzed as well.
资助者: NSF-China; MOST-China
收录类别: SCI
原文出处: 查看原文
WOS记录号: WOS:000268617100056
Citation statistics: 
内容类型: 期刊论文
URI标识: http://ir.itp.ac.cn/handle/311006/5282
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:
Tu, Hong-Hao,Zhang, Guang-Ming,Xiang, Tao,et al. Topologically distinct classes of valence-bond solid states with their parent Hamiltonians[J]. PHYSICAL REVIEW B,2009,80(1):-.
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