English

Boundary two-parameter eight-state supersymmetric fermion model and Bethe ansatz solution

Statistical Mechanics 2007-05-23 v2 Strongly Correlated Electrons

Abstract

The recently introduced two-parameter eight-state Uq[gl(31)]U_q[gl(3|1)] supersymmetric fermion model is extended to include boundary terms. Nine classes of boundary conditions are constructed, all of which are shown to be integrable via the graded boundary quantum inverse scattering method. The boundary systems are solved by using the coordinate Bethe ansatz and the Bethe ansatz equations are given for all nine cases.

Keywords

Cite

@article{arxiv.cond-mat/9802097,
  title  = {Boundary two-parameter eight-state supersymmetric fermion model and Bethe ansatz solution},
  author = {A. J. Bracken and X. -Y. Ge and Y. -Z. Zhang and H. -Q. Zhou},
  journal= {arXiv preprint arXiv:cond-mat/9802097},
  year   = {2007}
}

Comments

11 pages, RevTex; some typos corrected

R2 v1 2026-07-22T12:02:10.023Z