Multiple scattering theory for superconducting heterostructures

Csire, Gábor and Ujfalussy, Balázs and Cserti, József and Gyorffy, B. (2015) Multiple scattering theory for superconducting heterostructures. PHYSICAL REVIEW B, 91 (16). ISSN 2469-9950

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Abstract

We generalize the screened Korringa-Kohn-Rostoker (SKKR) method for solving the correspond- ing Kohn-Sham-Bogoliubov-de Gennes (KSBdG) equations for surfaces and interfaces. As an ap- plication of the newly developed theory we study the quasiparticle spectrum of Au overlayers on a Nb(100) host. We find that, within the superconducting gap region, the quasiparticle spectrum consists of Andreev bound states (ABS) with a dispersion which is closely connected to the underly- ing electronic structure of the overlayer. We also find that the spectrum has a strongly k-dependent induced gap. The properties of the gap is discussed in relation to the thickness of the overlayer, and it is shown that certain states do not participate in the Andreev scattering process.

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