Fermionic<i><i>R</i></i>-Operator and Integrability of the One-Dimensional Hubbard Model

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  • Umeno Yukiko
    Department of Physics, Graduate School of Science, University of Tokyo, Hongo 7–3–1, Bunkyo–ku, Tokyo 113–0033
  • Shiroishi Masahiro
    Department of Physics, Graduate School of Science, University of Tokyo, Hongo 7–3–1, Bunkyo–ku, Tokyo 113–0033
  • Wadati Miki
    Department of Physics, Graduate School of Science, University of Tokyo, Hongo 7–3–1, Bunkyo–ku, Tokyo 113–0033

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タイトル別名
  • Fermionic R-Operator and Integrability of the One-Dimensional Hubbard Model.
  • Fermionic R-Operator and Integrability

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We propose a new type of the Yang-Baxter equation (YBE) and the decorated Yang-Baxter equation (DYBE). Those relations for the fermionic R-operatorwere 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 modelis discussed.

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