Scattering Matrix and Excitation Spectrum of the Hubbard Model

Details Scattering Matrix and Excitation Spectrum of the Hubbard Model Scattering Matrix and Excitation Spectrum of the Hubbard Model

1993-08-04

arxiv.org/abs/cond-mat/9308004v1

Physics

Condensed Matter

8 pages, jyTeX (macro included - just TeX the file) ITP-SB-93-40

Scientific paper

10.1103/PhysRevLett.72.908

We consider the one-dimensional Hubbard model at half filling. We show that both excitation spectrum and S-matrix are determined by the SO(4) symmetry of the model. The complete set of excitations is given by the scattering states four elementary excitations, which form the fundamental representation of SO(4). We evaluate the exact S-matrix, which satisfies the Yang-Baxter relation. The results for the repulsive and attractive Hubbard model are related by an interchange of spin and charge degrees of freedom.

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