arXiv:cond-mat/9606039 · Journal of Physics A Mathematical and General

Analytic Bethe ansatz for 1D Hubbard model and twisted coupledXYmodel

Ruihong Yue, Tetsuo Deguchi

Published Feb 7, 1997• 40 citations

Abstract

We have found the eigenvalues of the transfer matrices for the 1D Hubbard model and for the coupled XY model with a 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 1D Hubbard model is exactly equal to the coupled XY model with a non-trivial twisted boundary condition at the level of Hamiltonians and transfer matrices.

DOI: 10.1088/0305-4470/30/3/011

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