Superconductivity between $H_{C_2}$ and $H_{C_3}$

Søren Fournais; Bernard Helffer; Mikael Persson

doi:10.4171/jst/12

JournalsjstVol. 1, No. 3pp. 273–298

Superconductivity between $H_{C_{2}}$ and $H_{C_{3}}$

Søren Fournais
University of Aarhus, Denmark
Bernard Helffer
Université de Nantes, France
Mikael Persson
University of Aarhus, Denmark

$Superconductivity between $H_{C_2}$ and $H_{C_3}$ cover$

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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.

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Søren Fournais, Bernard Helffer, Mikael Persson, Superconductivity between $H_{C_{2}}$ and $H_{C_{3}}$ . J. Spectr. Theory 1 (2011), no. 3, pp. 273–298

DOI 10.4171/JST/12