Scaling of Yu-Shiba-Rusinov energies in the weak-coupling Kondo regime

Nino Hatter; Benjamin W. Heinrich; Daniela Rolf; Katharina J. Franke

doi:10.1038/s41467-017-02277-7

paper

Scaling of Yu-Shiba-Rusinov energies in the weak-coupling Kondo regime

arXiv:1710.04599 · doi:10.1038/s41467-017-02277-7

Abstract

The competition of the free spin state of a paramagnetic impurity on a superconductor with its screened counterpart is characterized by the energy scale of Kondo screening $k_{B} T_{K}$ compared to the superconducting pairing energy $Δ$ . When the experimental temperature suppresses Kondo screening, but preserves superconductivity, i.e., when $Δ/ k_{B} > T > T_{K}$ , this description fails. Here, we explore this temperature range in a set of manganese phthalocyanine molecules decorated with ammonia (MnPc-NH $_{3}$ ) on Pb(111). We show that these molecules suffice the required energy conditions by exhibiting weak-coupling Kondo resonances. We correlate the energy of the Yu-Shiba-Rusinov (YSR) bound states inside the superconducting energy gap with the intensity of the Kondo resonance. We reveal that the bound state energy follows the expectations for a classical spin on a superconductor. This finding is important in view of many theoretical predictions using a classical spin model, in particular for the description of Majorana bound states in magnetic nanostructures on superconducting substrates.

Scaling of Yu-Shiba-Rusinov energies in the weak-coupling Kondo regime

Abstract

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