Phase transition and magnetization of superconducting networks in a magnetic field

We calculated magnetic field dependence of the transition temperature and magnetization of Superconducting wire network of two-dimensional regular square lattice and that with randomly lack of superconducting wires within the de Gennes-Alexander theory. Fall of transition temperature of the network with randomly lack of wires in the field is suppressed compared with complete square lattice network. Field dependence of the magnetization of the networks shows that the networks have stable states at the filling fields of f = 0, 1/2, 1. We also found that field dependence of magnetization curve of the system with randomly lack of wires has a strong oscillation. The strong oscillation means the existence of some stable states that comes from the breaking symmetry of the system. (C) 2008 Elsevier B.V. All rights reserved.