Fractal geometry of normal phase clusters and magnetic flux trapping in high-Tc superconductors

Abstract

The effect of geometry and morphology of superconducting structure on magnetic flux trapping is considered. It is found that the clusters of normal phase, which act as pinning centers, have significant fractal properties. The fractal dimension of the boundary of these clusters is estimated using a simple area-perimeter relation. A superconductor is treated as a percolation system. It is revealed that the fractality intensifies the magnetic flux trapping and thereby enhances the critical current value.

5 pages with 1 table and 2 figures, revtex, published in Phys.Lett.A 267 (2000) 66 with more complicated figures

Cited by in corpus (10)

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• Electric field induced by magnetic flux motion in superconductor containing fractal clusters of a normal phase
• Resistive state of superconducting structures with fractal clusters of a normal phase
• Anomalous statistical properties of the critical current distribution in superconductor containing fractal clusters of a normal phase
• Peculiarities of the resistive transition in fractal superconducting structures
• Giant dispersion of critical currents in superconductor with fractal clusters of a normal phase
• Vortex Dynamics in Percolative Superconductors Containing Fractal Clusters of a Normal Phase
• Critical currents and vortex dynamics in percolative superconductors containing fractal clusters of a normal phase
• Depinning at the initial stage of the resistive transition in superconductors with a fractal cluster structure
• Vortex Dynamics at the Initial Stage of Resistive Transition in Superconductors with Fractal Cluster Structure