Superconductivity between and

  • Søren Fournais

    University of Aarhus, Denmark
  • Bernard Helffer

    Université de Nantes, France
  • Mikael Persson

    University of Aarhus, Denmark

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.

Cite this article

Søren Fournais, Bernard Helffer, Mikael Persson, Superconductivity between and . J. Spectr. Theory 1 (2011), no. 3, pp. 273–298

DOI 10.4171/JST/12