On the theory of diamagnetism in granular superconductors

Abstract

We study a highly disordered network of superconducting granules linked by weak Josephson junctions in magnetic field and develop a mean field theory for this problem. The diamagnetic response to a slow {\it variations} of magnetic field is found to be analogous to the response of a type-II superconductor with extremely strong pinning. We calculate an effective penetration depth ${\lambda }_g$ and critical current $j_c$ and find that both ${\lambda }_g^{-1}$ and $j_c$ are non-zero but are strongly suppressed by frustration.

REVTEX, 12 pages, two Postscript figures

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