Boundary condition for Ginzburg-Landau theory of superconducting layers

Abstract

Electrostatic charging changes the critical temperature of superconducting thin layers. To understand the basic mechanism, it is possible to use the Ginzburg-Landau theory with the boundary condition derived by de Gennes from the BCS theory. Here we show that a similar boundary condition can be obtained from the principle of minimum free energy. We compare the two boundary conditions and use the Budd-Vannimenus theorem as a test of approximations.

6 pages, 4 figures

References in corpus (3)

• A Self-Consistent Microscopic Theory of Surface Superconductivity
• Ginzburg-Landau theory of superconducting surfaces under electric fields
• Bernoulli potential in type-I and weak type-II supercoductors: II. Surface dipole