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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.
Please use this url to cite or link to this publication:
author
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
2014-01-16 13:07:42
date last changed
2017-09-17 03:09:45
@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},
  keyword      = {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},
  volume       = {1},
  year         = {2011},
}