Unconventional Superconductivity
arXiv:1302.3176
Abstract
A brief review of unconventional superconductivity is given, stretching from the halcyon days of helium-3 to the modern world of Majorana fermions. Along the way, we will encounter such strange beasts as heavy fermion superconductors, cuprates, and their iron-based cousins. Emphasis will be put on the fact that in almost all cases, an accepted microscopic theory has yet to emerge. This is attributed to the difficulty of constructing a theory of superconductivity outside the Migdal-Eliashberg framework.
book chapter for "Novel Superfluids", vol. 2, eds. K. H. Bennemann and J. B. Ketterson, Oxford University Press (in press); some minor textual changes from feedback I received from the first version, along with spelling out the references