Abstract
Probabilistic diagonalization methods are used to analyse the structure of the ground state of the two-dimensional Hubbard model for a less than half-filled band. It is found that the ground state is dominated by resonant hole configurations and, for 2t/U<1, hole pairing is suppressed. Hole pair condensation will occur only if an additional pairing interaction of strength epsilon >2t-4 eta (t2/U) is introduced, eta being a parameter related to the probability of antiferromagnetic correlations between nearest neighbours. Provided that the additional pairing interaction is present, local antiferromagnetic correlations are seen to favour pair condensation, although no long-range antiferromagnetic order is to be expected.
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