Fermionic R-Operator and Integrability of the One-Dimensional Hubbard Model

Details Fermionic R-Operator and Integrability of the One-Dimensional Hubbard Model Fermionic R-Operator and Integrability of the One-Dimensional Hubbard Model

1998-06-11

arxiv.org/abs/cond-mat/9806144v2

Physics

Condensed Matter

Strongly Correlated Electrons

25 pages

Scientific paper

10.1143/JPSJ.67.2242

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.

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