Enhancement of critical temperature in fractal metamaterial superconductors

TL;DR

This paper predicts that fractal metamaterial geometries can significantly increase the critical temperature of superconductors by introducing multiple poles in their dielectric response, aligning with recent experimental observations.

Contribution

It introduces a theoretical framework showing how fractal structures enhance superconductivity by modifying dielectric properties, a novel approach in superconductor design.

Findings

Predicted substantial increase in critical temperature due to fractal geometry.

Identified the role of additional poles in dielectric response in superconductivity enhancement.

Results support recent experimental findings on fractal defect structures promoting superconductivity.

Abstract

Fractal metamaterial superconductor geometry has been suggested and analyzed based on the recently developed theoretical description of critical temperature increase in epsilon near zero (ENZ) metamaterial superconductors. Considerable enhancement of critical temperature has been predicted in such materials due to appearance of large number of additional poles in the inverse dielectric response function of the fractal. Our results agree with the recent observation (Fratini et al. Nature 466, 841 (2010)) that fractal defect structure promotes superconductivity.