Fermionic R-operator and integrability of the one-dimensional Hubbard model

被引：25

作者：

Umeno, Y ^{[1
]}

Shiroishi, M ^{[1
]}

Wadati, M ^{[1
]}

机构：

[1] Univ Tokyo, Grad Sch Sci, Dept Phys, Bunkyo Ku, Tokyo 1130033, Japan

来源：

JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN | 1998年 / 67卷 / 07期

关键词：

XYZ fermion model; one-dimensional Hubbard model; fermionic R-operator; Yang-Baxter equation; SO(4) symmetry;

D O I：

10.1143/JPSJ.67.2242

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

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 XX 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 SO(4) symmetry of the ID Hubbard model is discussed.

引用

页码：2242 / 2254

页数：13

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