English

Paramagnetic excited vortex states in superconductors

Superconductivity 2016-07-20 v1

Abstract

We consider excited vortex states, which are vortex states left inside a superconductor once the external applied magnetic field is switched off and whose energy is lower than of the normal state. We show that this state is paramagnetic and develop here a general method to obtain its Gibbs free energy through conformal mapping. The solution for any number of vortices in any cross section geometry can be read off from the Schwarz - Christoffel mapping. The method is based on the first order equations used by A. Abrikosov to discover vortices.

Keywords

Cite

@article{arxiv.1606.06400,
  title  = {Paramagnetic excited vortex states in superconductors},
  author = {Rodolpho Ribeiro Gomes and Mauro M. Doria and Antonio R. de C. Romaguera},
  journal= {arXiv preprint arXiv:1606.06400},
  year   = {2016}
}

Comments

14 pages, 7 figures

R2 v1 2026-06-22T14:30:00.698Z