Long range coherent magnetic bound states in superconductors
Gerbold C. M\'enard, S\'ebastien Guissart, Christophe Brun, St\'ephane, Pons, Vasily S. Stolyarov, Fran\c{c}ois Debontridder, Matthieu V. Leclerc,, Etienne Janod, Laurent Cario, Dimitri Roditchev, Pascal Simon, Tristan Cren

TL;DR
This paper reports the discovery of long-range coherent magnetic bound states around a magnetic impurity in a superconductor, revealing potential for new quantum interactions and topological phases.
Contribution
It demonstrates the existence of a novel long-range magnetic quantum state extending up to 12 nm, linked to the superconductor's coherence length, and provides a theoretical explanation for these phenomena.
Findings
Observation of a star-shaped pattern extending 12 nm from impurity
Detection of short-scale interference fringes with particle-hole asymmetry
Theoretical model linking features to electronic band structure
Abstract
The quantum coherent coupling of completely different degrees of freedom is a challenging path towards creating new functionalities for quantum electronics. Usually the antagonistic coupling between spins of magnetic impurities and superconductivity leads to the destruction of the superconducting order. Here we show that a localized classical spin of an iron atom immersed in a superconducting condensate can give rise to new kind of long range coherent magnetic quantum state. In addition to the well-known Shiba bound state present on top of an impurity we reveal the existence of a star shaped pattern which extends as far as 12 nm from the impurity location. This large spatial dispersion turns out to be related, in a non-trivial way, to the superconducting coherence length. Inside star branches we observed short scale interference fringes with a particle-hole asymmetry. Our theoretical…
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