If you read our article on strong correlations, you may remember that we still do not have an exact solution the Hubbard model in more than one dimension.You might also recall how important it was to learn something definite about superconductivity in this model. Now Raghu, Kivelson and Scalapino have published a paper proposing a way to obtain the superconducting phase diagram of this model in the weak-coupling limit:
S. Raghu, S. A. Kivelson, and D. J. Scalapino,
“Superconductivity in the repulsive Hubbard model: An asymptotically exact weak-coupling solution”,
Phys. Rev. B 81, 224505 (2010)
Follow the link for a synopsis of the above article in Physics.