Effects of boundary curvature on surface superconductivity

TL;DR

This paper studies how the curvature of a superconducting sample's boundary influences the distribution of surface superconductivity in a 2D Ginzburg-Landau model, revealing curvature-dependent corrections.

Contribution

It introduces a correction term showing the effect of boundary curvature on surface superconductivity distribution, extending previous models that assumed flat boundaries.

Findings

Curvature affects the distribution of surface superconductivity.

A correction term quantifies the impact of boundary curvature.

Superconductivity remains confined to a thin boundary shell in the studied regime.

Abstract

We investigate, within 2D Ginzburg-Landau theory, the ground state of a type-II superconducting cylinder in a parallel magnetic field varying between the second and third critical values. In this regime, superconductivity is restricted to a thin shell along the boundary of the sample and is to leading order constant in the direction tangential to the boundary. We exhibit a correction to this effect, showing that the curvature of the sample affects the distribution of superconductivity.