We present the first exact results of the ground-state energy in the two-dimensional Hubbard model on a 4×{}4 cluster for several values of U and fillings. The behavior of the binding energy of two holes as a function of U is discussed together with some analytical results in limiting cases. The analysis of the hole-hole correlation function allows one to determine the range of values of U where binding might be seen.
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Fano et al. (1990) studied this question.
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