Superconductivity in domains with corners

Abstract

We study the two-dimensional Ginzburg-Landau functional in a domain with corners for exterior magnetic field strengths near the critical field where the transition from the superconducting to the normal state occurs. We discuss and clarify the definition of this field and obtain a complete asymptotic expansion for it in the large $\kappa$ regime. Furthermore, we discuss nucleation of superconductivity at the boundary.

References in corpus (1)

• On the third critical field in Ginzburg-Landau theory

Cited by in corpus (10)

• The Faraday effect revisited: Thermodynamic limit
• Surface Superconductivity in Presence of Corners
• The breakdown of superconductivity in the presence of magnetic steps
• The density of superconductivity in domains with corners
• Universal and shape dependent features of surface superconductivity
• 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