Abstract
The paracoherence-coherence transition of weakly coupled superconducting grains is analogous to the paramagnetic-ferromagnetic transition of X-Y ferromagnets. The critical exponents β, γ and ν measured in granular superconductors differ from the X-Y model calculations for translationally invariant systems. We ascribe this discrepancy to disorder. We discuss the magnetic properties of YBaCuO sintered and powdered samples in the framework of the coherence transition. This approach allows us to explain the “incomplete Meissner effect” of superconducting ceramics and to show the existence of several levels of granularity; the latter however do not affect the critical behaviour.
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