A numerical scaling analysis is used to show that Nagaoka's ferromagnetic state in the two-dimensional Hubbard model with one hole is superseded by an antiferromagnetic (AF) state with a discontinuous jump in the total spin due to the AF coupling as the Hubbard U is made finite. The same applies to the two-hole system, which has a spiral spin structure. We can show, via the scaling, that the crossover to an AF state is a precursor of a pathological coalescence of states having the minimum spin and Nagaoka's state at U={∞} in the thermodynamic limit.
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Kusakabe et al. (1994) studied this question.
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