On the topological effects of a spiral dislocation and the missing magnetic flux

We study the arising of Landau levels in the region outside the magnetic quantum dot under the influence of the spiral dislocation topology. We show that Aharonov-Bohm-type effects stem from the missing magnetic flux and the spiral dislocation topology. Further, we discuss the influence of the missing magnetic flux and the spiral dislocation topology on the magnetization, magnetic susceptibility and persistent currents at zero temperature in the region outside the magnetic quantum dot.