Macroscopic Magnetic Properties of High Temperature Superconductors: Effect of a Pinning Barrier Distribution

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Abstract
The magnetic properties of YBaCuO crystals are strongly affected by thermally activated flux creep over pinning barriers. Here the effect of a power-law distribution of pinning barriers is explored. The critical current density is predicted to have a power-law dependence on the reduced temperature difference approaching the transition temperature T c and a logarithmic dependence on the timescale of the measurement. The dependence of the critical current on the measurement time provides a possible explanation of the disparity between the critical current measured in thin film transport experiments and J c obtained from magnetic data. Also, in contrast to some earlier theory, the normalized logarithmic time derivative of the remanent magnetization is shown to not diverge near T c , irrespective of the pinning barrier distribution.

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