MRSej, Vol. 6, No.1, pp.133-139, 2004

**MAGNETIC FIELD OF TYPE II SUPERCONDUCTORS
IN THE **

*A.V. M**inkin, S.L.Tsarevskii *

*Kazan **State **University **, 420008 **Kazan **, **Russia *

The model of the normal flux core of the Abrikosov's vortex in a type II superconductor is used ( *$\kappa$** >>*1, k is the Ginzburg-Landau parameter). It is shown, that on the basis of the quantum-mechanical generalization of the London's equation for the superconducting current with the supposition of the normal flux core the equations for the magnetic field rearrange to the form of generalized London's equation (with an accuracy 1/*$\kappa$*). Solutions of generalized London 's equation are obtained for a single vortex in infinite superconductor and for the vortex lattice in a semi-infinite superconductor. It is shown, that these solutions are finite in any point of the space and that the removal of divergences is getting automatically. The normal flux core model offers an advantage over the Clem's model, so that it allows to solve the boundary-value problem more successfully for the vortex lattice of the superconducting semispace.

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