Classification of Exactly Solvable Two-Component Models
Classification of Exactly Solvable Two-Component Models
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精确可解的二元模型的分类
DOI：
10.1143/ptp.68.508
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发表时间：
1982
影响因子：
--
通讯作者：
M. Wadati
中科院分区：
文献类型：
--
作者：
K. Sogo;M. Uchinami;Y. Akutsu;M. Wadati
在二元模型的情况下，获得S矩阵分解方程的所有可能的解。这些解决方案给出了可解顶点模型的分类。发现Yang-Baxter关系比因式分解方程更通用。 Yang、Yang 和 Sutherland 的六顶点模型不是从因式分解方程导出的，而是从 Yang-Baxter 关系导出的。因此可以得出结论，Yang-Baxter 关系是所有已知可解二元模型的基础。此外，与我们的顶点模型相对应的自旋哈密顿量以显式形式呈现。
In the case of two-component models, all possible solutions for factorization equations of S-matrix are obtained. These solutions give a classification of solvable vertex models. It is found that Yang-Baxter relation is more general than the factorization equation. The six vertex model by Yang, Yang and Sutherland is derived not from the factorization equation but from Yang-Baxter relation. Thus it is concluded that Yang-Baxter relation lies at the basis of all the known solvable two component models. Furthermore, spin Hamiltonians corresponding to our vertex models are presented in explicit forms.