Superconductivity between HC2 and HC3

Summary, in English

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.

• Författare: Bernard Helffer; Søren Fournais; Mikael Persson Sundqvist
• Avdelning/ar: Matematik LTH; Partial differential equations
• Publiceringsår: 2011
• Språk: Engelska
• Sidor: 273-298
• Publikation/Tidskrift/Serie: Journal of Spectral Theory
• Volym: 1
• Issue: 3
• Länkar: http://dx.doi.org/10.4171/JST/12
• Dokumenttyp: Artikel i tidskrift
• Förlag: European Mathematical Society Publishing House
• Ämne: Mathematics
• Nyckelord: Spectral theory; Ginzurg–Landau functional; Ordinary differential operator
• Status: Published
• Forskningsgrupp: Partial differential equations
• ISBN/ISSN/Övrigt: ISSN: 1664-039X