Magnetic flux vorticity in superconductors with a slit

Superconductors are principal components used in resonance imaging (MRI) and nuclear magnetic resonance (NMR) machines, tokamaks reactors, in particle accelerators and in other components in advanced technologies. Electromagnetic vorticity plays a significant role in superconductivity, as it allows for the generation of holes which permit electrons to transfer from one electronic orbital to the next without resistance through a superconductive band. Modeling and predicting the behaviour of electromagnetic fields for superconductors is therefore important, and requires the development of new operators and mathematical models. We here apply a supersymmetric model to study the arise and dynamics of vorticity in a superconductor with a slit. We compare the results to existing studies, and show that a small modification of the Ginzburg-Landau model, taking into account the effects of supersymmetry, can significantly reduce the time of formation of quantum vorticity in numerical models. We discuss the results and present outlooks and prospects for using supersymmetry in modeling superconductive holes/vortices