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The su(N) Hubbard model

Z. Maassarani
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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.

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Z. Maassarani. 1997-12-22. The su(N) Hubbard model. https://doi.org/10.1016/s0375-9601(97)00977-8

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