Magnetic flux pinning in superconductors with hyperbolic-tesselation arrays of pinning sites

TL;DR

This paper investigates how hyperbolic-tesselation arrays of pinning sites in superconductors can trap magnetic vortices over a wide flux range, offering a novel method for magnetic flux storage.

Contribution

It introduces hyperbolic-tesselation arrays as a new design for vortex pinning, demonstrating their ability to trap flux differently from traditional models.

Findings

Hyperbolic-tesselation arrays effectively trap vortices over broad flux ranges.

These arrays alter the usual magnetic flux penetration behavior.

Enhanced surface barrier asymmetry enables flux storage similar to a capacitor.

Abstract

We study magnetic flux interacting with arrays of pinning sites (APS) placed on vertices of hyperbolic tesselations (HT). We show that, due to the gradient in the density of pinning sites, HT APS are capable of trapping vortices for a broad range of applied magnetic fluxes. Thus, the penetration of magnetic field in HT APS is essentially different from the usual scenario predicted by the Bean model. We demonstrate that, due to the enhanced asymmetry of the surface barrier for vortex entry and exit, this HT APS could be used as a "capacitor" to store magnetic flux.