Ginzburg-Landau Calculations of Circular Mo80Ge20 Plates with Sector Defect

We present the theoretical calculations on vortex structures in a nanosized superconducting circle with a deficit sector. The numerical calculations of Ginzburg–Landau equation has been carried out with the aid of the finite element method, which is convenient to treat an arbitrarily shaped superconductor. We found that the vortices form an arc structure or a partial shell structure in a deficient circle plate, and mirror symmetry can be seen with respect to the sector deficit. Due to the vortex-vortex interaction and the boundary confinement effect, we also found the evolution of double (outer and inner) shell structure as a function of vorticity. Our theoretical studies will be compared to the experimental studies.