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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 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.

preprint2016arXivOpen access
Rodolpho Ribeiro GomesMauro M. DoriaAntonio R. de C. Romaguera
cond-mat.supr-con
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Rodolpho Ribeiro GomesMauro M. DoriaAntonio R. de C. Romaguera

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