We study the effect of frustration, induced by a magnetic field, on the superconducting diamagnetic properties of two-dimensional quasicrystalline arrays. In particular, we calculate the superconducting-normal phase boundary, Tc(H), for several geometries with quasicrystalline order. The agreement between our theoretically obtained phase boundaries and the experimentally obtained ones is very good. We also propose a new way of analyzing the overall and the fine structure of Tc(H) in terms of short- and long-range correlations among tiles.
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Nori et al. (1987) studied this question.
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