Superconductivity from quantum fluctuations of itinerant quantum critical points

In the vicinity of a quantum critical point, critical fluctuations can often act as glue for the formation of BCS pairs, which is one important path way towards unconventional superconductivity. Recently, thanks to the development in quantum numerical techniques, such as sign-problem quantum Monte Carlo simulations, new insights and unbiased numerical understanding about this phenomenon become accessible. In particular, the numerical results suggest superconductivity emerged from these quantum critical points are highly diversified and are highly sensitive microscopic details. In this study, we investigate these systems utilizing analytic approach. By exploring different model systems and compare with numerical results, we aim at understanding universal properties behind these diversified behaviors.