Fermionic R-Operator and Integrability of the One-Dimensional Hubbard Model
Fermionic R-Operator and Integrability of the One-Dimensional Hubbard Model
复制标题
费米子 R 算子和一维 Hubbard 模型的可积性
DOI：
10.1143/jpsj.67.2242
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发表时间：
1998
影响因子：
1.7
通讯作者：
M. Wadati
中科院分区：
文献类型：
--
作者：
Y. Umeno;M. Shiroishi;M. Wadati
本文提出了一种新的Yang-Baxter方程（YBE）和修饰的Yang-Baxter方程（DYBE）。这些关系是最近提出来的，作为处理费米子模型可积性的工具。利用X X费米子模型的YBE和DYBE，构造了一维Hubbard模型的费米子R -算符。给出了一维Hubbard模型可积性的另一个证明。此外，还讨论了一维Hubbard模型SO（4）对称性的一种新方法。
We propose a new type of the Yang-Baxter equation (YBE) and the decorated Yang-Baxter equation (DYBE). Those relations for the fermionic R -operator were introduced recently as a tool to treat the integrability of the fermion models. Using the YBE and the DYBE for the X X fermion model, we construct the fermionic R -operator for the one-dimensional (1D) Hubbard model. It gives another proof of the integrability of the 1D Hubbard model. Furthermore a new approach to the S O (4) symmetry of the 1D Hubbard model is discussed.