Abstract
We discuss the unique electronic properties of small clusters having a degenerate ground state in the non-interacting limit. We show that doping holes in a Cu 5O 4 planar cluster may attract themselves in the presence of purely repulsive on-site interactions and discuss analogies and differences with the prototypical CuO 4 case. Unlike other electronic mechanisms proposed so far, this effect is due to the symmetry of the system and does not rely on off-site interactions; moreover hole pairing involves a change in the symmetry of the ground state.
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