1997/09/30 by Z. Maassarani · 1 citation
Physics and Astronomy · #cond-mat.stat-mech #hep-th #nlin.SI #solv-int
paper · pdf · doi:10.1016/s0375-9601(97)00977-8
published as Phys. Lett. A 239 (1998) 187-190. · 5 pages, LaTeX. Two equations added to clarify the integrability proof and minor modifications. Accepted for publication in Physics Letters A
arxiv created 1997/12/22 · arxiv updated 2009/11/30
The one-dimensional Hubbard model is known to possess an extended su(2) symmetry and to be integrable. I introduce an integrable model with an extended su(n) symmetry. This model contains the usual su(2) Hubbard model and has a set of features that makes it the natural su(n) generalization of the Hubbard model. Complete integrability is shown by introducing the L-matrix and showing that the transfer matrix commutes with the hamiltonian. While the model is integrable in one dimension, it provides a generalization of the Hubbard hamiltonian in any dimension.