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.
Andrei Ludu. "Vortex Patterns Beyond Hypergeometric." J. Geom. Symmetry Phys. 26 85 - 103, 2012. https://doi.org/10.7546/jgsp-26-2012-85-103