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Magnetic adatoms on s-wave superconductors induce bound states inside the superconducting gap, called Yu-Shiba-Rusinov states (YSR). The anisotropy of the Fermi surface determines the spatial extension of bound states in a…

Magnetic impurities on a superconductor induce sub-gap Yu-Shiba-Rusinov (YSR) bound states, localized at the impurity site and fading away from it for distances up to several nanometers. In this article, we present a theoretical method to…

We study the properties of collective Yu-Shiba-Rusinov (YSR) states generated by multiple magnetic adatoms (clusters) placed on the surface of a superconductor. For magnetic clusters with equal distances between their constituents, we…

Superconductivity · Physics 2018-05-17 Simon Körber , Björn Trauzettel , Oleksiy Kashuba

Scattering of superconducting pairs by magnetic impurities on a superconducting surface leads to pairs of sharp in-gap resonances, known as Yu-Shiba-Rusinov (YSR) bound states. Similarly to the interference of itinerant electrons scattered…

Superconductivity · Physics 2024-10-08 Artem Odobesko , Raffael L. Klees , Felix Friedrich , Ewelina M. Hankiewicz , Matthias Bode

Magnetic adsorbates on superconductors induce local bound states within the superconducting gap. These Yu-Shiba-Rusinov (\YSR) states decay slowly away from the impurity compared to atomic orbitals, even in 3d bulk crystals. Here, we use…

Mesoscale and Nanoscale Physics · Physics 2018-04-18 Michael Ruby , Benjamin W. Heinrich , Yang Peng , Felix von Oppen , Katharina J. Franke

We have implemented the Bogoliubov-de Gennes (BdG) equation in a screened Korringa-Kohn- Rostoker (KKR) method for solving, self-consistently, the superconducting state for 3d crystals including substitutional impurities. In this report we…

Superconductivity · Physics 2022-02-02 Tom G. Saunderson , James F. Annett , Gábor Csire , Martin Gradhand

Magnetic adatoms on superconductors give rise to Yu-Shiba-Rusinov (YSR) states that hold considerable interest for the design of topological superconductivity. Here, we show that YSR states are also an ideal platform to engineer structures…

A magnetic impurity on a superconducting substrate induces in-gap Yu-Shiba-Rusinov (YSR) bound states, whose intricate spatial structure crucially influences the possibilities of engineering collective impurity states. By means of a…

Superconductivity · Physics 2022-04-12 Mateo Uldemolins , Andrej Mesaros , Pascal Simon

We present a fully relativistic first principles based theoretical approach for the calculation of the spectral properties of magnetic impurities on the surface of a superconducting substrate, providing a material specific framework for the…

Theoretical descriptions of Yu-Shiba-Rusinov (YSR) states induced by magnetic impurities inside the gap of a superconductor typically rely on a classical spin model or are restricted to spin-1/2 quantum spins. These models fail to account…

Mesoscale and Nanoscale Physics · Physics 2021-05-25 Felix von Oppen , Katharina J. Franke

A magnetic impurity on a superconductor induces Yu-Shiba-Rusinov (YSR) bound states, detected by tunneling spectroscopy as long-lived quasiparticle excitations inside the superconducting gap. Coupled YSR states constitute basic elements to…

Mesoscale and Nanoscale Physics · Physics 2021-02-12 Carmen Rubio-Verdú , Javier Zaldívar , Rok Žitko , Jose Ignacio Pascual

A Yu-Shiba-Rusinov (YSR) state is a localized in-gap state induced by a magnetic impurity in a superconductor. Recent experiments used an STM tip to manipulate the exchange coupling between an Fe adatom and the ${\rm FeTe}_{0.55}{\rm…

Superconductivity · Physics 2022-06-09 Ching-Kai Chiu , Ziqiang Wang

The spatial structure of in-gap Yu-Shiba-Rusinov (YSR) bound states induced by a magnetic impurity in a superconductor is the essential ingredient for the possibility of engineering collective impurity states. Recently, a saddle-point…

Superconductivity · Physics 2024-12-24 Mateo Uldemolins , Freek Massee , Tristan Cren , Andrej Mesaros , Pascal Simon

Spin-dependent scattering from magnetic impurities inside a superconductor gives rise to Yu-Shiba-Rusinov (YSR) states within the superconducting gap. As such, YSR states have been very successfully modeled with an effective scattering…

A magnetic impurity coupled to a superconductor gives rise to a Yu-Shiba-Rusinov (YSR) state inside the superconducting energy gap. With increasing exchange coupling the excitation energy of this state eventually crosses zero and the system…

Mesoscale and Nanoscale Physics · Physics 2018-09-26 K. Grove-Rasmussen , G. Steffensen , A. Jellinggaard , M. H. Madsen , R. Žitko , J. Paaske , J. Nygård

Magnetic impurities have a dramatic effect on superconductivity by breaking the time-reversal symmetry and inducing so-called Yu-Shiba-Rusinov (YSR) low energy bound states within the superconducting gap. The spatial extent of YSR states is…

Mesoscale and Nanoscale Physics · Physics 2018-04-25 Shawulienu Kezilebieke , Marc Dvorak , Teemu Ojanen , Peter Liljeroth

Magnetic adatoms on superconductors induce Yu-Shiba-Rusinov (YSR) states, which are key to the design of low-dimensional correlated systems and topological superconductivity. Competing magnetic interactions and superconducting pairing lead…

Mesoscale and Nanoscale Physics · Physics 2026-03-31 Lisa M. Rütten , Harald Schmid , Werner M. J. van Weerdenburg , Eva Liebhaber , Kai Rossnagel , Katharina J. Franke

It has been predicted theoretically and found experimentally that magnetic impurities induce localized bound states within the superconducting energy gap, called Yu-Shiba-Rusinov (YSR) states. Combining symmetry analysis with experimental…

Superconductivity · Physics 2023-03-29 Ming-Hung Wu , Emma Thill , Jacob Crosbie , Tom G. Saunderson , Martin Gradhand

We discuss all the characteristics of Yu-Shiba-Rusinov states for clusters of impurities with classical magnetic moments in a superconducting substrate with s-wave symmetry. We consider the effect of the multiorbital structure of the…

Mesoscale and Nanoscale Physics · Physics 2021-11-01 Liliana Arrachea

We investigate the nature of Yu-Shiba-Rusinov (YSR) subgap states induced by single Manganese (Mn) atoms adsorbed on different surface orientations of superconducting lead (Pb). Depending on the adsorption site, we detect a distinct number…

Mesoscale and Nanoscale Physics · Physics 2016-10-26 Michael Ruby , Yang Peng , Felix von Oppen , Benjamin W. Heinrich , Katharina J. Franke
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