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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…

It is generally believed that superconductivity only weakly affects the indirect exchange between magnetic impurities. If the distance r between impurities is smaller than than the superconducting coherence length (r < \xi), this exchange…

Mesoscale and Nanoscale Physics · Physics 2015-06-17 Norman Y. Yao , Leonid I. Glazman , Eugene A. Demler , Mikhail D. Lukin , Jay D. Sau

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…

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 impurities in $s$-wave superconductors lead to spin-polarized Yu-Shiba-Rusinov (YSR) in-gap states. Chains of magnetic impurities offer one of the most viable routes for the realization of Majorana bound states which hold a promise…

Mesoscale and Nanoscale Physics · Physics 2021-12-15 Archana Mishra , Pascal Simon , Timo Hyart , Mircea Trif

The Ruderman-Kittel-Kasuya-Yosida (RKKY) interaction of magnetic impurities in a superconductor exponentially decreases when the distance $r$ between them is larger than the superconductor's coherence length, because this interaction is…

Superconductivity · Physics 2018-09-10 A. G. Mal'shukov

Magnetic impurities on superconductors lead to bound states within the superconducting gap, so called Yu-Shiba-Rusinov (YSR) states. They are parity protected, which enhances their lifetime, but makes it more difficult to excite them. Here,…

Yu-Shiba-Rusinov (YSR) states arise as sub-gap excitations of a magnetic impurity in a superconducting host. Taking into account the quantum nature of the impurity spin in a single-site approximation, we study the spectral properties of the…

Superconductivity · Physics 2023-06-28 A. Skurativska , J. Ortuzar , D. Bercioux , F. S. Bergeret , M. A. Cazalilla

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 determine theoretically the interaction between two magnetic impurities embedded in a spin-split $s$-wave superconductor. The spin-splitting in the superconductor gives rise to two different interaction types between the impurity spins,…

Superconductivity · Physics 2022-02-07 Atousa Ghanbari , Jacob Linder

When the exchange interaction between the impurity spin and the spins of itinerant quasiparticles are strong or weak enough, the ground states for a magnetic impurity in a superconductor are the screened or free spins, respectively. In both…

Superconductivity · Physics 2023-03-01 T. Machida , Y. Nagai , T. Hanaguri

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

Recent studies of mutually interacting magnetic atoms coupled to a superconductor have gained enormous interest due to the potential realization of topological superconductivity. The Kondo exchange coupling J_K of such atoms with the…

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

We develop theoretical methods to predict the effects of paramagnetic impurities on the microwave response of conventional spin-singlet superconductors. Our focus is on superconducting devices and resonators with low concentrations of…

Superconductivity · Physics 2025-12-24 Mehdi Zarea , J. A. Sauls

Motivated by recent experiments [Nat. Phys. $\textbf{16}$, 1227 (2020)], we present here a theoretical study of the DC Josephson effect in a system comprising two magnetic impurities coupled to their respective superconducting electrodes…

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…

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

We consider the Ruderman-Kittel-Kasuya-Yosida (RKKY) interaction between magnetic impurities on the surface of a three-dimensional topological insulator with proximity induced superconductivity. A superconductor placed on the top of the…

Mesoscale and Nanoscale Physics · Physics 2014-10-01 Alexander A. Zyuzin , Daniel Loss

We discuss the effects of magnetic impurities on d-wave superconductors. We calculate the electron mediated RKKY interaction between the impurity spins in a d-wave superconductor and find that it decays as $r^{-3}$ at large distances. We…

Superconductivity · Physics 2007-05-23 Patrik Henelius , A. V. Balatsky , J. R. Schrieffer
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