Scattering Matrix and Excitation Spectrum of the Hubbard Model

Preprint

4 August 1993

preprint
Published by arXiv in arXiv

https://doi.org/10.48550/arXiv.cond-mat/9308004

Abstract

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.

Keywords

DIMENSIONAL HUBBARD
EXCITATION SPECTRUM
ATTRACTIVE HUBBARD
DEGREES OF FREEDOM
SCATTERING MATRIX
SCATTERING STATES
HUBBARD MODEL
SPECTRUM

All Related Versions

Version 1, 1993-08-04, ArXiv
Published version: Physical Review Letters, 72 (6), 908.

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