Superconductivity near the Normal State in A Half-Plane under the Action of A Perpendicular Electric Current and an Induced Magnetic Field, Part II: The Large Conductivity Limit

We consider the linearized Ginzburg-Landau equation in the half-plane, in the presence of an electric current, perpendicular to the boundary, and the magnetic field it induces. In a previous work we have considered the same problem in the limit of small normal conductivity. In the present contribution we consider the large normal conductivity limit, which is more frequently encountered in experiments than the other limit. Like in the previous work we obtain an approximation of the critical current where the normal state looses its stability. We find that this critical current is determined by the ground state of the anharmonic oscillator.