Fractal geometry in superconductivity

Abstract

The influence of fractal geometry on superconductivity has been analyzed for superconductors with different Euclidean dimensions. The complexity of fractal structures gives rise to a „multi-crossover“ behavior in one-dimensional Nb/Cu fractal multilayers, „quasi-2D Parks-Little effect“ for twodimensional fractal networks, and temporal fractality for three-dimensional high-Tc superconducting ceramic samples. Artificial fractal structures serve as a suitable model object for simulations and for experimental studies of disordered superconductors and superconducting devices with complicated topology.