Superconductivity between HC2 and HC3

2010/05/26 by Fournais, Søren, Helffer, Bernard, Persson, Mikael
#34L15 (Primary) #35P30 (Secondary) #35Q56 #FOS: Mathematics #Spectral Theory (math.SP)

paper · doi:10.48550/arxiv.1005.4838

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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