J. Lages et Dl. Shepelyansky, Phase of biparticle localized states for the Cooper problem in two-dimensional disordered systems - art. no. 094502, PHYS REV B, 6409(9), 2001, pp. 4502
The Cooper problem is studied numerically for the Anderson model with disor
der in two dimensions. It is shown that the attractive Hubbard interaction
creates a phase of biparticle localized states in the regime where noninter
acting states are delocalized. This phase cannot be obtained in the mean-fi
eld approximation and the pair coupling energy is strongly enhanced in this
regime. The effects of magnetic field are studied and it is shown that und
er certain conditions they lead to delocalization.