Abstract
We show that when sizable long-range Coulomb repulsion is included in numerical studies of small clusters, different sizes and shapes should be considered to obtain a ground state which represents correctly the physics of the ground state (GS) in the thermodynamic limit. Also cutting off the interaction at small distances might lead to a spurious GS. In particular the GS reported in the literature for the two-dimensional three-band Hubbard model in the static limit at hole concentratoin {ital x}=0.25 is in fact a slightly excited state when an important (screened or not) Coulomb repulsion at all distances is included.
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