The su(N) Hubbard model

Details The su(N) Hubbard model The su(N) Hubbard model

1997-09-23

arxiv.org/abs/cond-mat/9709252v3

Phys. Lett. A 239 (1998) 187-190.

Physics

Condensed Matter

Statistical Mechanics

5 pages, LaTeX. Two equations added to clarify the integrability proof and minor modifications. Accepted for publication in Ph

Scientific paper

10.1016/S0375-9601(97)00977-8

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.

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