<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>d</mml:mi></mml:math>-wave pairing near a spin-density-wave instability

We investigate the three-dimensional Hubbard model and show that paramagnon exchange near a spin-density-wave instability gives rise to a strong singlet $d$-wave pairing interaction. For a cubic band the singlet (${d}_{{x}^{2}\ensuremath{-}{y}^{2}} \mathrm{and} {d}_{3{z}^{2}\ensuremath{-}{r}^{2}}$) channels are enhanced while the singlet (${d}_{\mathrm{xy}},{d}_{\mathrm{xz}},{d}_{\mathrm{yz}}$) and triplet $p$-wave channels are suppressed. A unique feature of this pairing mechanism is its sensitivity to band structure and band filling.