Superconductivity between HC2 and HC3

TL;DR

This paper extends the understanding of the superconducting order parameter profile in Type II superconductors within the magnetic field range between the second and third critical fields, using the Ginzburg-Landau model.

Contribution

It proves that the effective one-dimensional model accurately describes the order parameter profile over a larger magnetic field interval than previously established.

Findings

Validation of the one-dimensional model over an extended magnetic field range

Enhanced understanding of the order parameter behavior between critical fields

Theoretical proof supporting the effective model's applicability

Abstract

Superconductivity for Type II superconductors in external magnetic fields of magnitude between the second and third critical fields is known to be restricted to a narrow boundary region. The profile of the superconducting order parameter in the Ginzburg-Landau model is expected to be governed by an effective one-dimensional model. This is known to be the case for external magnetic fields sufficiently close to the third critical field. In this text we prove such a result on a larger interval of validity.