Derivation of lower critical magnetic field for anisotropic Ginzburg-Landau model in superconductivity (Q546347)

The authors discuss the vortex structure of an anisotropic Ginzburg-Landau model for the superconducting thin film proposed by Du. They obtain the estimate for the lower critical magnetic field \(H_{C_1}\) which is the first critical value of \(h_{ex}\) corresponding to the first phase transition in which vortices appear in the superconductor. Moreover, they find local minimizers of the anisotropic superconducting thin film with a large parameter \(\kappa\), and they discuss the asymptotic behavior of the local minimizers for the applied magnetic field near the critical field.