Unconventional Superconductivity and Mott Transition in a Sign-Free Electronic Model

It is widely believed that repulsive on-site interactions between electrons can lead to unconventional superconductivity. Further, one expects that proximity of an unconventional superconductor to a Mott transition can lead to a quantum spin-liquid ala resonating valence bond (RVB) picture. Motivated by such folklore, here we construct a sign-problem free model that has unconventional f-wave superconductivity, and a proximate Mott transition to a Neel ordered phase. We present preliminary results on the nature of transition between these two phases, and potential spin-liquid phases in its vicinity. We also show using field-theoretic methods that a direct deconfined quantum critical point is allowed between the superconductor and the Neel phase.