Giant Vortex State In A Mesoscopic Superconducting Thin Ring

Using numerical treatment of the Ginzburg-Landau (GL) theory, the paper probes into superconducting thin rings. Systematic analysis is conducted for the free energy of the thin rings with different inner radii and outer radii of the ring. The effect of inner radii and outer radii of the ring on the vortex state are discussed. Furthermore, we obtain a phase diagram, where the giant vortex state regimes are determined by geometric parameters. The characteristics of the ring different from the disk are obtained.