Abstract
The possibility for a superconducting instability due to the exchange of magnetic fluctuations is studied by means of low-density expansion. It is shown that if the magnetic fluctuations are centered at ({pi},{pi}), they uniquely favor {ital d}{sub {ital x}}{sup 2}{minus}{ital y}{sup 2} superconductivity close to the magnetic instability no matter at which doping concentration this instability occurs. However, if the magnetic fluctuations are centered around the incommensurate ({pi}(1{minus}{delta}),{pi}) point in the Brillouin zone, they tend to suppress any type of superconductivity.
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