Short-range interactions and a Bose metal phase in two dimensions

We show here based on a one-loop scaling analysis that short-range interactions are strongly irrelevant perturbations near the insulator-superconductor (IST) quantum critical point. The lack of any proof that short-range interactions mediate physics which is present only in strong coupling leads us to conclude that short-range interactions are strictly irrelevant near the IST quantum critical point. Hence, we argue that no physics, such as the formation of a uniform Bose metal phase can arise from an interplay between on-site and nearest neighbor interactions.