  We explore the relationship between the critical temperature, T_c, the mobile
areal carrier density, n_2D, and the zero temperature magnetic in-plane
penetration depth, lambda_ab(0), in very thin underdoped NdBa2Cu3O{7-delta}
films near the superconductor to insulator transition using the electric field
effect technique. We observe that T_c depends linearly on both, n_2D and
lambda_ab(0), the signature of a quantum superconductor to insulator (QSI)
transition in two dimensions with znu-bar where z is the dynamic and nu-bar the
critical exponent of the in-plane correlation length.
