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

Yukiko Umeno·Masahiro Shiroishi·Miki Wadati
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Abstract

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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Yukiko Umeno, Masahiro Shiroishi, Miki Wadati. 1998-06-16. Fermionic R-Operator and Integrability of the One-Dimensional Hubbard Model. https://doi.org/10.1143/jpsj.67.2242

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