Hubbard Models as Fusion Products of Free Fermions

Abstract

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.

14 pages, LaTeX. Minor modifications

References in corpus (4)

• The su(N) XX model
• The su(N) Hubbard model
• Exact integrability of the su(n) Hubbard model
• Exactly integrable family of generalized Hubbard models with twisted Yangian symmetry

Cited by in corpus (7)

• Yang-Baxter integrable Lindblad equations
• The XXC Models
• Fermionization and Hubbard Models
• A range three elliptic deformation of the Hubbard model
• New Integrable Models from Fusion
• Non-additive fusion, Hubbard models and non-locality
• Integrability of the spin-1/2 fermions with charge pairing and Hubbard interaction