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 ($d_{x^2-y^2} \mathrm{and} d_{3z^2-r^2}$) 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.

• Received 23 June 1986

DOI:https://doi.org/10.1103/PhysRevB.34.8190

This article appears in the following collection:

Heating up of Superconductors

This collection marks the 30th anniversary of the discovery of high-temperature superconductors. The papers selected highlight some of the advances that have been made to date, both in understanding why these compounds behave in the way they do, and in utilizing them in applications.