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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

Magnetic superconductors define a broad class of strongly correlated materials in which superconductivity may coexist with either localized or itinerant long-range magnetic order. In this work we consider a multiband model of a disordered…

Superconductivity · Physics 2022-12-02 Maxim Dzero , Alex Levchenko

The coupling of a spin to an underlying substrate is the basis for a plethora of phenomena. In the case of a metallic substrate, Kondo screening of the adatom magnetic moment can occur. As the substrate turns superconducting, an intriguing…

Superconductivity · Physics 2020-11-18 Artem Odobesko , D. Di Sante , A. Kowalski , S. Wilfert , F. Friedrich , R. Thomale , G. Sangiovanni , M. Bode

We revisit the problem of Majorana states in chains of scalar impurities deposited on a superconductor with a mixed s-wave and p-wave pairing. We also study the formation of Majorana states for magnetic impurity chains. We find that the…

Superconductivity · Physics 2022-01-11 Nicholas Sedlmayr , Cristina Bena

We study the renormalization of the gap of an s-wave superconductor in the presence of two magnetic impurities. For weakly bound Shiba states, we analytically calculate the part of the gap renormalization that is sensitive to the relative…

Mesoscale and Nanoscale Physics · Physics 2015-08-11 Tobias Meng , Jelena Klinovaja , Silas Hoffman , Pascal Simon , Daniel Loss

We study theoretically the dynamics of a Shiba state forming around precessing classical spin in an s-wave superconductor. Utilizing a rotating wave description for the precessing magnetic impurity, we find the resulting Shiba bound state…

Mesoscale and Nanoscale Physics · Physics 2017-05-10 V. Kaladzhyan , S. Hoffman , M. Trif

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 study the Yu-Shiba-Rusinov states in materials with bulk band inversion such as iron-based topological superconductors or doped topological insulators. We show that the structure of the YSR state spectrum depends on the doping level…

Superconductivity · Physics 2026-01-19 Didier Ndengeyintwali , Shiva Heidari , Cody Youmans , Pavan Hosur , Pouyan Ghaemi

An impurity hosting a magnetic moment coupled to a conventional $s$-wave superconductor gives rise to so-called Yu-Shiba-Rusinov (YSR) states with energies inside the superconducting gap. Depending on the coupling between the impurity and…

Superconductivity · Physics 2026-02-10 Andreas Theiler , Christian R. Ast , Annica M. Black-Schaffer

Hybrid semiconductor-superconductor quantum dot devices are tunable physical realizations of quantum impurity models for a magnetic impurity in a superconducting host. The binding energy of the localized sub-gap Shiba states is set by the…

Strongly Correlated Electrons · Physics 2017-02-22 Willem-Victor van Gerven Oei , D. Tanaskovic , Rok Zitko

We show that superconducting currents are generated around magnetic impurities and ferromagnetic islands proximity-coupled to superconductors with finite spin-orbit coupling. Using the Ginzburg-Landau theory, T-matrix calculation, as well…

Strongly Correlated Electrons · Physics 2015-09-29 Sergey S. Pershoguba , Kristofer Björnson , Annica M. Black-Schaffer , Alexander V. Balatsky

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

We revisit certain aspects of a problem concerning the influence of carrier scattering induced by magnetic impurities in metals on their superconducting properties. Superconductivity is assumed to be driven by strong electron-phonon…

Superconductivity · Physics 2025-10-28 Samuel Awelewa , Maxim Dzero

Magnetic impurities in superconductors are of increasing interest due to emergent Yu-Shiba-Rusinov (YSR) states and Majorana zero modes for fault-tolerant quantum computation. However, a direct relationship between the YSR multiple states…

An unusual form of superconductivity, called Ising superconductivity, has recently been uncovered in mono- and few-layered transition metal dichalcogenides. This 2D superconducting state is characterized by the so-called Ising spin-orbit…

Strongly Correlated Electrons · Physics 2024-02-20 Gargee Sharma , Sumanta Tewari

We investigate charge and spin conductance, charge and spin quantum noise, along with charge and spin $\Delta_T$ noise, as diagnostic tools to distinguish Yu-Shiba-Rusinov (YSR) states from Majorana-bound states (MBS) in a one-dimensional…

Mesoscale and Nanoscale Physics · Physics 2025-07-14 Sachiraj Mishra , Colin Benjamin

Magnetic atoms coupled to the Cooper pairs of a superconductor induce Yu-Shiba-Rusinov states (in short Shiba states). In the presence of sufficiently strong spin-orbit coupling, the bands formed by hybridization of the Shiba states in…

The interplay of a potential and magnetic disorder in superconductors remains an active field of research for decades. Within the framework of the Usadel equation, we study the local density of states near a solitary classical magnetic…

Mesoscale and Nanoscale Physics · Physics 2022-05-24 S. S. Babkin , A. A. Lyublinskaya , I. S. Burmistrov

We combine scanning-tunneling-spectroscopy experiments probing magnetic impurities on a superconducting surface with a theoretical analysis of the tunneling processes between (superconducting) tip and substrate. We show that the current is…

Mesoscale and Nanoscale Physics · Physics 2015-08-24 Michael Ruby , Falko Pientka , Yang Peng , Felix von Oppen , Benjamin W. Heinrich , Katharina J. Franke

We study the spin-resolved spectral properties of the impurity states associated to the presence of magnetic impurities in two-dimensional, as well as one-dimensional systems with Rashba spin-orbit coupling. We focus on Shiba bound states…

Mesoscale and Nanoscale Physics · Physics 2016-10-19 V. Kaladzhyan , P. Simon , C. Bena