Low-energy excited states in a Hubbard chain with on-site attraction
- 10 December 1983
- journal article
- Published by IOP Publishing in Journal of Physics C: Solid State Physics
- Vol. 16 (34) , 6593-6604
- https://doi.org/10.1088/0022-3719/16/34/009
Abstract
The structure and energy of the eigenstates of a 1D Hubbard Hamiltonian with negative U is studied. Solutions for the Lieb-Wu equations (1968) corresponding to U0. It is found that the ground state is continuous, while the ground-state energy, although continuous, is not analytic at the U=0 point. In the excited states, in contrast to the U>0 case, both kinds of excitation are connected with the charge distribution and the state of the spins does not affect the energy explicitly. It is also found that the distribution of parameters can change discontinuously in the excited states as U crosses zero.Keywords
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