Numerical solution of Ginzburg-Landau equation for superconducting networks

We solved the Ginzburg-Landau (GL) equation for several superconducting networks. First, using de Gennes-Alexander (dGA) approach, we solved linearized GL equation for the buckminsterfullerene network and obtained magnetic field dependence of superconducting transition temperature and fluxoid patterns. Second, we solved GL equation for square lattices. Magnetic field dependence of superconducting transition temperature was calculated by the dGA network equation and also spatial distribution of the order parameter was calculated by the finite-element method for the GL equation