Calculation of the temperature dependences of the critical field and the density of critical current for a superconducting plate within the Ginzburg-Landau theory

Abstract

The state of a superconducting plate with transport current in a magnetic field parallel to its surface is studied using Ginzburg-Landau (GL) equations. These equations in the one-dimensional case are solved by numerical methods using general boundary conditions for the order parameter. The temperature dependences of the critical current density and critical magnetic field for a superconducting plate are determined and analyzed at various extrapolation lengths Λ, i.e., the parameter defining the boundary conditions. The effect of the parameter Λ on the shape of obtained dependences is studied.