The su(N) Hubbard model
Statistical Mechanics
2009-10-30 v3 High Energy Physics - Theory
Exactly Solvable and Integrable Systems
solv-int
Abstract
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.
Cite
@article{arxiv.cond-mat/9709252,
title = {The su(N) Hubbard model},
author = {Z. Maassarani},
journal= {arXiv preprint arXiv:cond-mat/9709252},
year = {2009}
}
Comments
5 pages, LaTeX. Two equations added to clarify the integrability proof and minor modifications. Accepted for publication in Physics Letters A