Paramagnetic excited vortex states in superconductors
Rodolpho Ribeiro Gomes, Mauro M. Doria, Antonio R. de C. Romaguera
DOI 10.1103/PhysRevB.93.214518 · Physical Review B
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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 Abrikosov to discover vortices.
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