JournalsjstVol. 1, No. 3pp. 273–298

Superconductivity between HC2H_{C_2} and HC3H_{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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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 HC2H_{C_2} and HC3H_{C_3}. J. Spectr. Theory 1 (2011), no. 3, pp. 273–298

DOI 10.4171/JST/12