On the Threshold Criterion for Dilutely Pinned Type II Superconductors

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The summation problem to get a global pinning force is discussed with a statistical method for a dilutely pinned superconductor. In the present theory, the long-range correlation among local pin-fluxoid interactions is taken into account, while this type of correlation has been disregarded in existing theories. It is shown that the fluxoid lattice can be displaced rather easily, whereas it has a rather large stiffness against a local distortion around each pin as known well. The resultant large compliance of the fluxoid lattice for displacements reduces the threshold level significantly. The present pinning force density obeys the scaling law which has been known as characteristic of a dilutely and weakly pinned case. The elementary pinning strength estimated from observed data by the use of the present theory shows a reasonable value.

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