  We provide a microscopic-level derivation of earlier results showing that, in
the critical vicinity of the superconductor-to-insulator transition (SIT),
disorder and localization become negligible and the structure of the emergent
phases is determined by topological effects arising from the competition
between two quantum orders, superconductivity and superinsulation. We find
that, around the critical point, the ground state is a composite incompressible
quantum fluid of Cooper pairs and vortices coexisting with an intertwined
Wigner crystal for the excess (with respect to integer filling) excitations of
the two types.
