On the Stability of Axisymmetric States in the Ginzburg–Landau Theory

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Abstract

The stability of superconducting states with a trapped magnetic flux in a spherical sample is investigated. Superconductors with a finite value of the Ginzburg–Landau parameter are considered (in particular, type I superconductors for which the magnetic field distortion near the sample plays an important role). It is assumed that the sample size is not too large as compared to correlation length ξ(T), and the superconducting state is axially symmetric. The possibility of the existence of states with a trapped flux in zero external field is considered. The results are compared to those for a cylindrical sample.

About the authors

E. R Podolyak

P.L. Kapitza Institute for Physical Problems, Russian Academy of Sciences

Author for correspondence.
Email: eee@kapitza.ras.ru
119334, Moscow, Russia

References

  1. B.J. Baelus, D. Sun, and F.M. Peeters, Phys.Rev. B 75, 174523 (2007).
  2. И. Н. Хлюстиков, ЖЭТФ 149, 378 (2016)
  3. И. Н. Хлюстиков, ЖЭТФ 159 (2021).
  4. Е. М. Лифшиц, Л. П. Питаевский, Статистическая физика, ч.2, Москва, ФМЛ (2000).
  5. Е. Р. Подоляк, ЖЭТФ 153, (2018).
  6. http://pdesolutions.com
  7. В. Л. Гинзбург, ЖЭТФ 34, 113 (1958).
  8. Е. А. Андрюшин, В. Л. Гинзбург, А. П. Силин УФН 163, 113 (1993).
  9. П. де Жен, Сверхпроводимость металлов и сплавов, Мир, Москва (1968).
  10. Е. Р. Подоляк, ЖЭТФ 140, 1185 (2011).
  11. Е. Р. Подоляк, ЖЭТФ 156(1), 118 (2019).

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