Abstract
In order to identify the most favorable situation for superconductivity in the repulsive single-band Hubbard model, we have studied instabilities for d-wave pairing mediated by antiferromagnetic spin fluctuations and p-wave pairing mediated by ferromagnetic fluctuations with the fluctuation exchange approximation in both two dimensions and three dimensions. By systematically varying the band filling and the band structure, we have shown that: (i) pairing instability is stronger in two dimensions than in three dimensions; and (ii) p-wave pairing is much weaker than d-wave pairing.
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