Anomalous resistance oscillations have been observed in meso- scopic superconducting Al loops. As for the classical Little-Parks effect, the oscillation period is governed by the superconducting fluxoid quantization. The oscillation amplitude shows, however, an unusual magnetic-field and current dependence for low flux quanta, which is completely different from the Little-Parks oscillations.
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Vloeberghs et al. (1992) studied this question.
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