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Journal of Physics A Mathematical and General

Boundary scattering matrices in the Hubbard model with boundary fields

Hitoshi Asakawa, Masuo Suzuki

Published Jan 9, 1998• 17 citations
Publisher

Abstract

Elementary excitations in the one-dimensional Hubbard model with boundary fields are discussed. Boundary scattering matrices for the excitations of the charge and spin sectors are evaluated. Both the repulsive and the attractive Hubbard models at half-filling and without a magnetic field are studied.
DOI
10.1088/0305-4470/31/1/007

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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 of four elementary excitations, which form the fundamental representation of SU(2)\ifmmode\times\else\texttimes\fi{}SU(2). 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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