  Extending finite size scaling theory to the many body ground state, one finds
that Coulomb repulsion can drive a system of spinless fermions in a random
potential from the Anderson insulator (Fermi glass of localized states) towards
a new extended phase in dimension $d=2$. The transition occurs at a Coulomb
energy to Fermi energy ratio $r_s \approx 4$, where a change in the nature of
the persistent currents has been previously observed. Relevance to the recently
observed $2d$ metallic phase is suggested.
