H. Boyaci et Io. Kulik, BOUND ELECTRON PAIRS IN STRONGLY CORRELATED MODELS OF HIGH-TEMPERATURE SUPERCONDUCTIVITY, Low temperature physics, 24(4), 1998, pp. 239-246
The ground-state energy of two electrons on a ring is calculated for t
he one-dimensional Hubbard model with positive and negative on-site in
teraction and for the contraction model with additive and multiplicati
ve interaction terms. The hc/2e periodicity of the ground-slate energy
with respect to a flux Phi threading the loop is derived. The periodi
city may serve as an indication of superconductivity. The results are
shown to be consistent with the Lieb-Wu solution for Phi=0 limit. In a
ddition, the new states that were missing in the Lieb-Wu solution are
derived. (C) 1998 American Institute of Physics.