Abstract
Recent experiments have fabricated structured arrays of ferromagnetic nanoparticles inproximity to a bulk superconductor. We consider the theory of interactions between twonanoscale ferromagnetic particles embedded within a superconductor. In the London limitapproximation we show that the interactions between ferromagnetic particles can lead toeither parallel or antiparallel spin alignment. The cross-over between these is dependent onthe ratio of interparticle spacing and the London penetration depth. We show that a phasetransition between spin orientations can occur as temperature is varied. Finally wecomment on the extension of these results to arrays of nanoparticles in different geometries.
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