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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…

Conventional superconductors disordered by magnetic impurities demonstrate physical properties drastically different from their pristine counterparts. In our previous work [Phys. Rev. B 92, 245430 (2015)] we explored spectral and…

Mesoscale and Nanoscale Physics · Physics 2016-10-18 Daniel Persson , Oleksii Shevtsov , Tomas Löfwander , Mikael Fogelström

Very recent experiments have reported the tunneling between Yu-Shiba-Rusinov (YSR) bound states at the atomic scale. These experiments have been realized with the help of a scanning tunneling microscope where a superconducting tip is…

Superconductivity · Physics 2024-01-09 A. Villas , R. L. Klees , G. Morrás , H. Huang , C. R. Ast , G. Rastelli , W. Belzig , J. C. Cuevas

Magnetic impurities at surfaces of superconductors can induce bound states referred to as Yu-Shiba-Rusinov (YSR) states within superconducting gaps. Understanding of YSR states with spin-orbit coupling (SOC) plays a pivotal role in studies…

Superconductivity · Physics 2021-09-14 Kyungwha Park , Bendeguz Nyari , Andras Laszloffy , Laszlo Szunyogh , Balazs Ujfalussy

Recent experimental studies have found that magnetic impurities deposited on superconducting monolayer NbSe$_2$ generate coupled Yu-Shiba-Rusinov bound states. Here we consider ferromagnetic chains of impurities which induce a…

Mesoscale and Nanoscale Physics · Physics 2019-08-21 Doru Sticlet , Cristian Morari

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…

Magnetic impurities on superconductors induce discrete bound levels inside the superconducting gap, known as Yu-Shiba-Rusinov (YSR) states. YSR levels are fully spin-polarized such that the tunneling between YSR states depends on their…

We review recent developments in our understanding of how impurities influence the electronic states in the bulk of superconductors. Our focus is on the quasi-localized states in the vicinity of impurity sites in conventional and…

Superconductivity · Physics 2007-05-23 A. V. Balatsky , I. Vekhter , Jian-Xin Zhu

We propose a mechanism which can generate supercurrents in spin-orbit coupled superconductors with charged magnetic inclusions. The basic idea is that through spin-orbit interaction, the in-plane electric field near the edge of each…

Superconductivity · Physics 2025-06-23 Benjamin A. Levitan , Yuval Oreg , Erez Berg

We show that Rashba spin-orbit coupling at the interface between a superconductor and a ferromagnet should produce a spontaneous current in the atomic thickness region near the interface. This current is counter-balanced by the…

Superconductivity · Physics 2017-04-14 S. Mironov , A. Buzdin

Local spins coupled to superconductors give rise to several emerging phenomena directly linked to the competition between Cooper pair formation and magnetic exchange. These effects are generally scrutinized using a spectroscopic approach…

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

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 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

We present a comprehensive theoretical study of thermodynamic properties of superconductors with a dilute concentration of magnetic impurities, with focus on how the properties of the superconducting host change if the magnetic moments of…

Mesoscale and Nanoscale Physics · Physics 2016-01-08 Daniel Persson , Oleksii Shevtsov , Tomas Löfwander , Mikael Fogelström

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

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

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

Superconductors containing magnetic impurities exhibit intriguing phenomena derived from the competition between Cooper pairing and Kondo screening. At the heart of this competition are the Yu-Shiba-Rusinov (Shiba) states which arise from…

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