Paramagnetic excited vortex states in superconductors

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 ener...

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Bibliographic Details
Published in:Physical review. B 2016-06, Vol.93 (21), Article 214518
Main Authors: Gomes, Rodolpho Ribeiro, Doria, Mauro M., Romaguera, Antonio R. de C.
Format: Article
Language:English
Subjects:
Condensed matter
Cross sections
Fluid flow
Gibbs free energy
Magnetic fields
Mathematical analysis
Superconductors
Vortices
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Summary: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 Abrikosov to discover vortices.
ISSN:2469-9950
2469-9969
DOI:10.1103/PhysRevB.93.214518