English

Analytic Bethe Ansatz for 1-D Hubbard model and twisted coupled XY model

Condensed Matter 2009-10-28 v1

Abstract

We found the eigenvalues of the transfer matrices for the 1-D Hubbard model and for the coupled XY model with twisted boundary condition by using the analytic Bethe Ansatz method. Under a particular condition the two models have the same Bethe Ansatz equations. We have also proved that the periodic 1-D Hubbard model is exactly equal to the coupled XY model with nontrivial twisted boundary condition at the level of hamiltonians and transfer matrices.

Keywords

Cite

@article{arxiv.cond-mat/9606039,
  title  = {Analytic Bethe Ansatz for 1-D Hubbard model and twisted coupled XY model},
  author = {Ruihong Yue and Tetsuo Deguchi},
  journal= {arXiv preprint arXiv:cond-mat/9606039},
  year   = {2009}
}

Comments

22 pages, latex, no figures