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

Fabian H. L. Essler; Vladimir E. Korepin

doi:10.1016/0550-3213(94)90019-1

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

Condensed Matter 2009-10-22 v1 High Energy Physics - Theory

Authors: Fabian H. L. Essler , Vladimir E. Korepin

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Abstract

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.

Keywords

Hubbard model scattering matrix SU(2)×SU(2) symmetry Yang-Baxter equation SO(4) symmetry one-dimensional

Cite

@article{arxiv.cond-mat/9310056,
  title  = {SU(2)xSU(2) Invariant Scattering Matrix of the Hubbard Model},
  author = {Fabian H. L. Essler and Vladimir E. Korepin},
  journal= {arXiv preprint arXiv:cond-mat/9310056},
  year   = {2009}
}

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

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

Abstract

Keywords

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