Superconductivity between HC2 and HC3

Details Superconductivity between HC2 and HC3 Superconductivity between HC2 and HC3

2010-05-26

arxiv.org/abs/1005.4838v1

Mathematics

Spectral Theory

4 figures

Scientific paper

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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