Collective pinning in a film of finite thickness |
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Authors: | E. H. Brandt |
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Affiliation: | (1) Max-Planck-Institut für Metallforschung, Institut für Physik, Stuttgart, West Germany |
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Abstract: | The theory of collective pinning, which successfully explains the two-dimensional pinning of flux lines in thin superconducting films, is extended to films of finite thicknessd in order to describe the transition from two- to three-dimensional pinning. After short summaries of the collective pinning idea and of the (nonlocal) elastic properties of the flux-line lattice, the displacement correlation function of a weakly pinned flux-line lattice is calculated for a film. The transverse and longitudinal correlation lengths, which determine the correlation volume and the pinning forcejcB, are obtained. The condition for the dimensional crossover is given. |
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