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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
Topologically distinct classes of valence-bond solid states with their parent Hamiltonians
Source PublicationPHYSICAL REVIEW B
KeywordQuantum Spin Chains Density-matrix Renormalization Ground-states Symmetry-breaking Hall States Edge States Antiferromagnets Models Surfaces
AbstractWe 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.
2009
ISSN1098-0121
Volume80Issue:1Pages:-
Subject AreaPhysics
Indexed BySCI
Funding OrganizationNSF-China; MOST-China ; NSF-China; MOST-China ; NSF-China; MOST-China ; NSF-China; MOST-China
Citation statistics
Cited Times:29[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Identifierhttp://ir.itp.ac.cn/handle/311006/5282
Collection理论物理所科研产出_SCI论文
Corresponding AuthorZhang, GM , Tsinghua Univ, Dept Phys, Beijing 100084, Peoples R China
Recommended Citation
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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