Peculiarities of the resistive transition in fractal superconducting structures

TL;DR

This paper investigates how fractal clusters of defects affect the resistive transition in percolation superconductors, revealing a vortex glass state influenced by fractal boundary dimensions.

Contribution

It introduces a model linking fractal cluster boundaries to current-voltage characteristics and identifies a vortex glass state in the system.

Findings

Resistance depends on fractal boundary dimension.

A vortex glass state is realized in the system.

Static and dynamic resistance relations are derived.

Abstract

The influence of fractal clusters of a normal phase on the current-voltage characteristics of a percolation superconductor in the region of a resistive transition has been studied. The clusters represent the aggregates of columnar defects, which give rise to a correlated microscopic disorder in the system. Dependencies of the static and dynamic resistance on the transport current are obtained for an arbitrary fractal dimension of the cluster boundaries. It is revealed that a mixed state of the vortex glass type is realized in the superconducting system involved.