SU(2)xSU(2) Invariant Scattering Matrix of the Hubbard Model

Details SU(2)xSU(2) Invariant Scattering Matrix of the Hubbard Model SU(2)xSU(2) Invariant Scattering Matrix of the Hubbard Model

1993-10-25

arxiv.org/abs/cond-mat/9310056v1

Physics

Condensed Matter

29 pages, jyTeX (macro included - just TeX the file) ITP-SB-93-45, BONN-HE-93-39

Scientific paper

10.1016/0550-3213(94)90019-1

We consider the one-dimensional half-filled Hubbard model. We show that the excitation spectrum is given by the scattering states of four elementary excitations, which form the fundamental representation of $SU(2)\times SU(2)$. We determine the exact two-particle Scattering matrix, which a solution of the Yang-Baxter equation and reflects the $SO(4)$ symmetry of the model. The results for repulsive and attractive Hubbard model are related by an interchange of spin and charge degrees of freedom.

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