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Topologically distinct classes of valence-bond solid states with their parent Hamiltonians
Tu, Hong-Hao; Zhang, Guang-Ming; Xiang, Tao; Liu, Zheng-Xin; Ng, Tai-Kai; Zhang, GM , Tsinghua Univ, Dept Phys, Beijing 100084, Peoples R China
2009
发表期刊PHYSICAL REVIEW B
ISSN1098-0121
卷号80期号:1页码:-
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.
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
关键词Quantum Spin Chains Density-matrix Renormalization Ground-states Symmetry-breaking Hall States Edge States Antiferromagnets Models Surfaces
学科领域Physics
资助者NSF-China; MOST-China ; NSF-China; MOST-China ; NSF-China; MOST-China ; NSF-China; MOST-China
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收录类别SCI
资助者NSF-China; MOST-China ; NSF-China; MOST-China ; NSF-China; MOST-China ; NSF-China; MOST-China
WOS记录号WOS:000268617100056
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被引频次:29[WOS]   [WOS记录]     [WOS相关记录]
文献类型期刊论文
条目标识符http://ir.itp.ac.cn/handle/311006/5282
专题理论物理所1978-2010年知识产出
通讯作者Zhang, GM , Tsinghua Univ, Dept Phys, Beijing 100084, Peoples R China
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GB/T 7714
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):-.
APA Tu, Hong-Hao,Zhang, Guang-Ming,Xiang, Tao,Liu, Zheng-Xin,Ng, Tai-Kai,&Zhang, GM , Tsinghua Univ, Dept Phys, Beijing 100084, Peoples R China.(2009).Topologically distinct classes of valence-bond solid states with their parent Hamiltonians.PHYSICAL REVIEW B,80(1),-.
MLA Tu, Hong-Hao,et al."Topologically distinct classes of valence-bond solid states with their parent Hamiltonians".PHYSICAL REVIEW B 80.1(2009):-.
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