Vortex structures in nano-sized pentagon and other shaped superconductors

•Using the Ginzburg–Landau equation, vortex structures in a pentagonal plate superconductor are investigated.•Structures of vortices break a fivefold rotational symmetry.•Distribution of amplitude of the order parameter breaks a fivefold rotational symmetry.

Vortex structures in nano-sized superconductors are investigated using the Ginzburg–Landau equation. In order to investigate the various shaped superconductors, we adopt the Finite Element Method for numerical calculations. We show some vortex structures in a pentagon superconductor under an external field. We found that for a large pentagon superconductor, the vortex structure becomes a shell structure as in superconducting disks.