Hubbard Models as Fusion Products of Free Fermions

Details Hubbard Models as Fusion Products of Free Fermions Hubbard Models as Fusion Products of Free Fermions

1997-11-14

arxiv.org/abs/cond-mat/9711142v3

Int. J. Mod. Phys. B 12 (1998) 1893-1906 (version 4)

Physics

Condensed Matter

Statistical Mechanics

14 pages, LaTeX. Minor modifications

Scientific paper

10.1142/S0217979298001095

A class of recently introduced su(n) `free-fermion' models has recently been used to construct generalized Hubbard models. I derive an algebra defining the `free-fermion' models and give new classes of solutions. I then introduce a conjugation matrix and give a new and simple proof of the corresponding decorated Yang-Baxter equation. This provides the algebraic tools required to couple in an integrable way two copies of free-fermion models. Complete integrability of the resulting Hubbard-like models is shown by exhibiting their L and R matrices. Local symmetries of the models are discussed. The diagonalization of the free-fermion models is carried out using the algebraic Bethe Ansatz.

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