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We have patterned a hexagonal array of nano-scale holes into a series ofultrathin, superconducting Bi/Sb films with transition temperatures 2.65 K$<T_{co} < $5 K. These regular perforations give the films a phase-sensitiveperiodic response to an applied magnetic field. By measuring this response intheir resistive transitions, $R(T)$, we are able to distinguish regimes inwhich fluctuations of the amplitude, both the amplitude and phase, and thephase of the superconducting order parameter dominate the transport. Theportion of $R(T)$ dominated by amplitude fluctuations is larger in lower$T_{co}$ films and thus, grows with proximity to the superconductor toinsulator transition.Comment: Revised title, abstract, text, figure

Magnetic-flux periodic response of nanoperforated ultrathin superconducting films