Resistive transition and magnetic field response of a Penrose-tile array of weakly coupled superconductor islands

We have studied the effects of geometry- and magnetic-field-induced frustration on the transport properties of a Penrose-tile array of proximity-coupled superconductor islands. The arrays exhibit a broad transition to a zero-resistance state at a field-dependent critical temperature. Above this temperature, the resistance of the array modulates quasiperiodically with applied field. Measurements at different excitation levels distinguish structure arising from the irrational tile area ratio in the Penrose pattern from fine structure generated by the long-range quasiperiodic order.