Properties of mesoscopic superconducting thin-film rings. London approach

TL;DR

This paper analytically investigates the properties of small mesoscopic superconducting thin-film rings, focusing on current distribution, magnetic moment, and thermodynamic potential within the London framework.

Contribution

It provides analytical solutions for the current, magnetic moment, and thermodynamic potential of thin-film superconducting rings with vortices, considering their size relative to the Pearl length.

Findings

Analytical expressions for current distribution in rings

Calculation of magnetic moment and thermodynamic potential

Insights into vortex behavior in mesoscopic superconducting rings

Abstract

Superconducting thin-film rings smaller than the film penetration depth (the Pearl length) are considered. The current distribution, magnetic moment, and thermodynamic potential ${\cal F}(H,N,v)$ for a flat, washer-shaped annular ring in a uniform applied field $H$ perpendicular to the film are solved analytically within the London approach for a state with winding number $N$ and a vortex at radius $v$ between the inner and outer radii.