(Why was a poorly written press release linked instead of the actual paper?)
This paper shows how you can start with an extremely simple theory of electron interaction and build up to some very complicated, realistic superconducting behaviors. When varying the material properties of high temperature superconductors, you always see an antiferromagnetic material type near the superconducting material composition. For many years condensed matter physicists have suspected that this was more than a coincidence and that high temperature superconductors work because of finely tuned antiferromagnetic interactions between electrons. Although this paper simplifies electron interactions considerably (come on, we're physicists, simplification is what we do), it does fill in some of the larger holes in that theory and is an important step toward understanding the physics behind the phenomenological high temperature superconductivity models.