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Vortex Patterns Beyond Hypergeometric, Andrei Ludu
Vortex Patterns Beyond Hypergeometric, Andrei Ludu
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We prove that loop vortices are created by a point-like magnetic dipole in an infinite superconductor space. The geometry of the vortex system is obtained through analytic solutions of the linearized Ginzburg-Landau equation described in terms of Heun functions, generalizing the traditional hypergeometric behavior of such magnetic singularity.