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

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

1996-06-07

arxiv.org/abs/cond-mat/9606039v1

Physics

Condensed Matter

22 pages, latex, no figures

Scientific paper

10.1088/0305-4470/30/3/011

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.

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