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A Self-Consistent Microscopic Theory of Surface Superconductivity

Robert J. Troy·Alan T. Dorsey
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Abstract

The electronic structure of the superconducting surface sheath in a type-II superconductor in magnetic fields $H_{c2}<H<H_{c3}$ is calculated self-consistently using the Bogoliubov-de Gennes equations. We find that the pair potential $Δ(x)$ exhibits pronounced Friedel oscillations near the surface, in marked contrast with the results of Ginzburg-Landau theory. The role of magnetic edge states is emphasized. The local density of states near the surface shows a significant depletion near the Fermi energy due to the development of local superconducting order. We suggest that this structure could be unveiled by scanning-tunneling microscopy studies performed near the edge of a superconducting sample.

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Robert J. Troy, Alan T. Dorsey. 1994-11-23. A Self-Consistent Microscopic Theory of Surface Superconductivity. https://doi.org/10.1103/physrevb.51.11728

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