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arXiv · 1705.11100

Effects of nonmagnetic disorder on the energy of Yu-Shiba-Rusinov states

Thomas Kiendl·Felix von Oppen·Piet W. Brouwer
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Abstract

We study the sensitivity of Yu-Shiba-Rusinov states, bound states that form around magnetic scatterers in superconductors, to the presence of nonmagnetic disorder in both two and three dimensional systems. We formulate a scattering approach to this problem and reduce the effects of disorder to two contributions: disorder-induced normal reflection and a random phase of the amplitude for Andreev reflection. We find that both of these are small even for moderate amounts of disorder. In the dirty limit in which the disorder-induced mean free path is smaller than the superconducting coherence length, the variance of the energy of the Yu-Shiba-Rusinov state remains small in the ratio of the Fermi wavelength and the mean free path. This effect is more pronounced in three dimensions, where only impurities within a few Fermi wavelengths of the magnetic scatterer contribute. In two dimensions the energy variance is larger by a logarithmic factor because impurities contribute up to a distance of the order of the superconducting coherence length.

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Thomas Kiendl, Felix von Oppen, Piet W. Brouwer. 2017-11-30. Effects of nonmagnetic disorder on the energy of Yu-Shiba-Rusinov states. https://doi.org/10.1103/physrevb.96.134501

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