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Classification of solutions to the reflection equation for two-component systems
Liu, CX; Ju, GX; Wang, SK; Wu, K; Ju, GX , Henan Normal Univ, Dept Phys, Xinxiang 453002, Henan, Peoples R China.
1999
发表期刊JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL
ISSN0305-4470
卷号32期号:19页码:3505-3523
摘要The symmetries, especially those related to the R-transformation, of the reflection equation (RE) for two-component systems are analysed. The classification of solutions to the RE for eight-, six- and seven-vertex-type R-matrices is given. All solutions can be obtained from those corresponding to the standard R-matrices by K-transformation. For the free-fermion models, the boundary matrices have property tr K+ (0) = 0, and the free-fermion-type R-matrix with the same symmetry as that of a Baxter type corresponds to the same form of a K-matrix for the Baxter type. We present the Hamiltonians for the open spin systems connected with our solutions. In particular, the boundary Hamiltonian of seven-vertex models is obtained with a generalization to the Sklyanin formalism.
部门归属Henan Normal Univ, Dept Phys, Xinxiang 453002, Henan, Peoples R China; CCAST, World Lab, Beijing 100080, Peoples R China; Acad Sinica, Inst Theoret Phys, Beijing 100080, Peoples R China; Acad Sinica, Inst Appl Math, Beijing 100080, Peoples R China
关键词Yang-baxter Equation Boundary K-matrices Free Fermion Model Spin Chains Xyz-spin
学科领域Physics
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收录类别SCI
WOS记录号WOS:000080541800007
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被引频次:7[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/311006/13151
专题理论物理所1978-2010年知识产出
通讯作者Ju, GX , Henan Normal Univ, Dept Phys, Xinxiang 453002, Henan, Peoples R China.
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GB/T 7714
Liu, CX,Ju, GX,Wang, SK,et al. Classification of solutions to the reflection equation for two-component systems[J]. JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL,1999,32(19):3505-3523.
APA Liu, CX,Ju, GX,Wang, SK,Wu, K,&Ju, GX , Henan Normal Univ, Dept Phys, Xinxiang 453002, Henan, Peoples R China..(1999).Classification of solutions to the reflection equation for two-component systems.JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL,32(19),3505-3523.
MLA Liu, CX,et al."Classification of solutions to the reflection equation for two-component systems".JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL 32.19(1999):3505-3523.
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