Theory of unconventional superconductivity in the 1/4-filled band correlated-electron super-conductors [and previous titles]. Final Report, DOE-BES grant DE-FG02-06ER46315
Determination of the mechanism of correlated-electron superconductivity (SC) has turned out to be the hardest problem in condensed matter physics. After nearly three decades of intense investigation of the high-T c cuprates it now appears that one key idea, viz., - weak doping of Mott-Hubbard semiconductors leads to SC -may not be correct, or is at least incomplete. This conclusion is arrived from recent experiments that have clearly indicated that the pseudogap state in the cuprates, separated by a thermodynamic phase transition from the undoped antiferromagnet, is significantly more complicated than thought before. Buried inside it there is a distinct charge-ordered (CO) state. Understanding the complete set of competing and coexisting phases in the pseudogap state is thus a formidable challenge. It follows that research on other correlated superconductors, which have also been known for a long time, may be able to give much needed fresh insight. It is with this motivation in this project we pursued theoretical research to understand the unconventional SC that is found in an apparently completely separate family of materials, the organic charge-transfer solids (CTS). A unique feature of the CTS is that SC there universally occurs at the carrier concentration $\rho$ of 0.5 per organic molecule, rather than under carrier doping as in the cuprates. Our work in this project focused on the correlated physics of the organic CTS as well as other inorganic materials with the same carrier density, $\rho$=0.5. This project resulted in several theoretical advances in understanding these materials.