1998/06/16 by Yukiko Umeno, Masahiro Shiroishi, Miki Wadati · 1 citation
Physics and Astronomy · #cond-mat.str-el
paper · pdf · doi:10.1143/jpsj.67.2242
25 pages
arxiv created 1998/06/16 · arxiv updated 2009/11/30
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 1D Hubbard model is discussed.