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Self-consistent microscopic theory of surface superconductivity

Robert J. Troy, Alan T. Dorsey

DOI 10.1103/PhysRevB.51.11728 · Physical Review B

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Abstract

The electronic structure of the superconducting surface sheath in a type-II superconductor in magnetic fields Hc2<H<Hc3 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 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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