Cooper instability of a metallic phase in the Hubbard model with repulsion
Alistratov A. L , Dimashko Yu. A. , Podol'skii V. S.
The Hubbard model with a local repulsion and a half-filled band is analyzed on a hypercubic lattice. A canonical transformation to electrons and holes reveals a local attraction of these entities and a Cooper instability with respect to their combining to form neutral pairs, i.e., excitons. The ground state of the model is thus an insulator for any finite interaction. It is a state like that of the BCS model, in which excitons play the role of the Cooper pairs.