1997/11/30 by Z. Maassarani · 2 citations
Chemistry · Mathematics · Physics and Astronomy · #Algebra over a field #Algebraic number #Algebraic structures and combinatorial models #Bethe ansatz #Chemistry #Class (philosophy) #Computer science #Fermion #Geometry #Homogeneous space #Hubbard model #Integrable system #Mathematical analysis #Mathematical physics #Mathematics #Matrix (chemical analysis) #Nonlinear Waves and Solitons #Physics #Physics of Superconductivity and Magnetism #Pure mathematics #Quantum mechanics #Simple (philosophy) #Theoretical physics #cond-mat.stat-mech #hep-th #math.QA #nlin.SI #q-alg #solv-int
paper · pdf · doi:10.1142/s0217979298001095
published as Int. J. Mod. Phys. B 12 (1998) 1893-1906 (version 4) · 14 pages, LaTeX. Minor modifications
arxiv created 1997/12/23 · openalex publication_date 1998/07/30 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
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.