Nonlinear Surface Superconductivity in the Large Κ Limit
نویسنده
چکیده
in which Ψ is the (complex) superconducting order parameter, such that |Ψ| varies from |Ψ| = 0 (when the material is at a normal state) to |Ψ| = 1 (for the purely superconducting state). The magnetic vector potential is denoted by A (the magnetic field is then given by h = ∇×A), hex is the constant applied magnetic field, and κ is the Ginzburg–Landau parameter which is a material property. Superconductors for which κ < 1/ √ 2 are termed type I superconductors, and those for which κ > 1/ √ 2 are termed type II. The superconductor lies in a smooth domain Ω (∂Ω is at list C) and its Gibbs free energy is given by E. Note that E is invariant to the gauge transformation
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