Analytic Bethe Ansatz for 1-D Hubbard model and twisted coupled XY model
نویسندگان
چکیده
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.
منابع مشابه
Diagonalization of 2-D inhomogeneous model related to the Hubbard model
We found the eigenvalues of the transfer matrix for the 2-D inhomogeneous statistical model with twisted boundary condition by using the analytic Bethe Ansatz method. In the uniform case, the derived hamiltonian generalizes the 1-D Hubbard model with the twisted boundary. We also give the energy spectra for the derived hamiltonian. PACS numbers: 75.10.Hk,11.10-z,75.50.Gg, 77.80.-e OCHA-PP-88 ∗e...
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