Peculiarities of the resistive transition in fractal superconducting structures

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 appear as aggregates of columnar defects, the presence of which leads to a correlated microscopic disorder in the system. Dependences of the static and dynamic resistance on the transport current are determined for an arbitrary fractal dimension of the cluster boundaries. In the case under consideration, the superconducting system features a mixed state of the vortex glass type.