Abstract
A study of the zero-field ac response of a wire network of interconnected 6th-order Sierpiński gaskets as a function of temperature is presented. In a narrow temperature range below the superconducting-to-normal transition thermally nucleated vortices dominate the response. A theoretical model treating the vortices as Brownian particles moving about in the hierarchical potential-energy landscape of the fractal lattice is developed and its predictions are found to agree with the experimental observations.
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