Boundary condition for Ginzburg-Landau theory of superconducting layers

Physics – Condensed Matter – Superconductivity

Scientific paper

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6 pages, 4 figures

Scientific paper

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.

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