Diamagnetic Response and Vortex Matter in a Type-I Superconducting Irregular Octagon

In this contribution, we studied the magnetization, magnetic susceptibility, and electronic superconducting density of a superconducting irregular octagon in the presence of an external magnetic field H. We solved the time-dependent Ginzburg-Landau equations (TDGL) for a one-band condensate for a mesoscopic type-I sample ( \(\kappa <1/\sqrt{2}\) $\kappa <1/\sqrt{2}$ ). Our results show the existence of Shubnikov-vortices in the up-branch of the magnetic field (H). Also, we found a paramagnetic response in descending field. We think that the vortex state proposed here reflect intrinsic features of the superconducting sample.