Universal and shape dependent features of surface superconductivity

Abstract

We analyze the response of a type II superconducting wire to an external magnetic field parallel to it in the framework of Ginzburg-Landau theory. We focus on the surface superconductivity regime of applied field between the second and third critical values, where the superconducting state survives only close to the sample's boundary. Our first finding is that, in first approximation, the shape of the boundary plays no role in determining the density of superconducting electrons. A second order term is however isolated, directly proportional to the mean curvature of the boundary. This demonstrates that points of higher boundary curvature (counted inwards) attract superconducting electrons.

References in corpus (12)

• Influence of the confinement geometry on surface superconductivity
• Surface Superconductivity in Niobium for Superconducting RF Cavities
• Phase transition curves for mesoscopic superconducting samples
• Surface Contribution to the Superconducting Properties of MgB2 Single Crystals
• On the third critical field in Ginzburg-Landau theory
• Superconductivity in domains with corners
• Boundary Behavior of the Ginzburg-Landau Order Parameter in the Surface Superconductivity Regime
• On the Ginzburg--Landau Functional in the Surface Superconductivity Regime
• Surface Superconductivity in Presence of Corners
• The external field dependence of the BCS critical temperature
• Effects of boundary curvature on surface superconductivity
• Surface superconducting states in a polycrystalline MgB${}_2$ sample

Cited by in corpus (5)

• Magnetic steps on the threshold of the normal state
• Surface Effects in Superconductors with Corners
• Effects of Corners in Surface Superconductivity
• On the Ginzburg-Landau Energy of Corners
• Almost Flat Angles in Surface Superconductivity