Quantum Cluster Theory of Unconventional Superconductivity*

Quantum cluster theories provide an important framework to give insight into the complex behavior and different quantum states observed in correlated electron materials. In particular, they can provide an understanding of the mechanisms that give rise to superconductivity in unconventional superconductors, in which pairing is driven by electron-electron interactions. Here we discuss how dynamic cluster approximation quantum Monte Carlo calculations of Hubbard models have progressed in addressing this problem, and how this progress is linked to advances in algorithms and high-end computing hardware.