We consider a superconducting film supplied with a magnetic dot array. The dot magnetization is random and oriented perpendicular to the film. The concentration of the superconducting vortices bound to the dots is a step-like function of the dot magnetic flux. The concentration of the unbound vortices is an oscillating function of the same variable. The resistivity is determined by the thermal drift of the vortices through the corner points of a checker-board formed by positive and negative unbound vortices.
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Feldman et al. (2000) studied this question.
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