Abstract
The ground-state properties of several finite two-dimensional clusters were numerically investigated within the Hubbard model. In particular the spatial distribution of holes (with respect to the half-filled band case) is studied in detail. It is found that in systems with frustrated sites the holes prefer to occupy these sites for large U, and repel each other. This effect can be used to stabilise the antiferromagnetic order in the clusters by introducing coupling to additional sites.
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