Vortex structures in disordered finite superconducting square networks under external magnetic field

Magnetic-flux structures of disordered superconducting networks under an external magnetic field are studied, using the de Gennes-Alexander equation. These magnetic structures are different from those for regular network. If the wire at the edge of the network is weak superconducting, the flux enters at this wire with increasing magnetic field. And the change in equilibrium vortex structures with increasing magnetic field becomes gradual; vortices change their positions to the neighboring holes.