Superconducting state in a circular SQUID shaped mesoscopic film

Using a thin-film approach to the time-dependent Ginzburg–Landau theory, we have studied the magnetization and order parameter profile in a thin mesoscopic superconductor in the so-called SQUID geometry. Our sample is circular with a hole at the center connected to the outer rim by a very thin slit. We have also studied the influence of the boundary conditions in the thin slit on the magnetization curve of the sample.

Vortex states in mesoscopic superconductors with a complex geometry: A finite element analysis

The time-dependent Ginzburg–Landau equations have been solved numerically by a finite-element analysis for a mesoscopic superconducting square structure with four nanoscale holes in two-dimensional space. For given applied magnetic fields we have simulated the dynamical behavior of the penetrating magnetic vortices into the superconductor. Our results show that the mesoscopic superconductor can be tuned to exhibit the clear separation of the multivortex by properly introducing the nanoscale holes in a mesoscopic superconductor.