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Superconductivity between HC2 and HC3

Helffer, Bernard ; Fournais, Søren and Persson Sundqvist, Mikael LU (2011) In Journal of Spectral Theory 1(3). p.273-298
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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author
; and
organization
publishing date
type
Contribution to journal
publication status
published
subject
keywords
Spectral theory, Ginzurg–Landau functional, Ordinary differential operator
in
Journal of Spectral Theory
volume
1
issue
3
pages
273 - 298
publisher
European Mathematical Society Publishing House
external identifiers
  • scopus:84994181305
ISSN
1664-039X
DOI
10.4171/JST/12
language
English
LU publication?
yes
id
fca07935-d31a-4187-8a00-979f3c6c6d44 (old id 4221747)
date added to LUP
2016-04-01 09:59:31
date last changed
2025-04-04 14:55:52
@article{fca07935-d31a-4187-8a00-979f3c6c6d44,
  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.}},
  author       = {{Helffer, Bernard and Fournais, Søren and Persson Sundqvist, Mikael}},
  issn         = {{1664-039X}},
  keywords     = {{Spectral theory; Ginzurg–Landau functional; Ordinary differential operator}},
  language     = {{eng}},
  number       = {{3}},
  pages        = {{273--298}},
  publisher    = {{European Mathematical Society Publishing House}},
  series       = {{Journal of Spectral Theory}},
  title        = {{Superconductivity between HC2 and HC3}},
  url          = {{http://dx.doi.org/10.4171/JST/12}},
  doi          = {{10.4171/JST/12}},
  volume       = {{1}},
  year         = {{2011}},
}