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Superconductivity between HC2 and HC3

Author

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.

Department/s

Publishing year

2011

Language

English

Pages

273-298

Publication/Series

Journal of Spectral Theory

Volume

1

Issue

3

Document type

Journal article

Publisher

European Mathematical Society Publishing House

Topic

  • Mathematics

Keywords

  • Spectral theory
  • Ginzurg–Landau functional
  • Ordinary differential operator

Status

Published

Research group

  • Partial differential equations

ISBN/ISSN/Other

  • ISSN: 1664-039X