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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

The ground state properties of a high spin magnetic impurity and its interaction with an electronic spin are probed via Andreev reflection. We see that through the charge and spin conductance one can effectively estimate the interaction…

Mesoscale and Nanoscale Physics · Physics 2018-09-03 Subhajit Pal , Colin Benjamin

Superconductor-Ferromagnet (SF) heterostructures are of interest due to numerous phenomena related to the spin-dependent interaction of Cooper pairs with the magnetization. Here we address the effects of a magnetic insulator on the density…

Superconductivity · Physics 2018-06-18 Wolfgang Belzig , Detlef Beckmann

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

We study a chain of magnetic moments exchange coupled to a conventional three dimensional superconductor. In the normal state the chain orders into a collinear configuration, while in the superconducting phase we find that ferromagnetism is…

Superconductivity · Physics 2016-04-27 M. Schecter , K. Flensberg , M. H. Christensen , B. M. Andersen , J. Paaske

NbSe$_2$ is a remarkable superconductor in which charge-density order coexists with pairing correlations at low temperatures. Here, we study the interplay of magnetic adatoms and their Yu-Shiba-Rusinov (YSR) bound states with the charge…

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

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

The local magnetic moment of an interacting quantum dot occupied by a single electron can be screened by binding a Bogoliubov quasiparticle from a nearby superconductor. This gives rise to a long-lived discrete spin-singlet state inside the…

Mesoscale and Nanoscale Physics · Physics 2022-03-02 Luka Pavešić , Rok Žitko

Motivated by recent experiments, here we study the indirect interactions between magnetic impurities deposited on top of a clean Pb(110) surface induced by the underlying conduction electrons. Our approach makes use of \textit{ab initio}…

Mesoscale and Nanoscale Physics · Physics 2019-12-18 Alejandro Rébola , Alejandro M. Lobos

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

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

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

Excitations of individual and coupled spins on superconductors provide a platform to study quantum spin impurity models as well as a pathway toward realizing topological quantum computing. Here, we characterize, using ultra-low temperature…

We study a chain of magnetic impurities on a conventional superconductor with spin-orbit coupling, treating the superconducting order fully self-consistently. We find and quantify strong hybridization between the topological edge Majorana…

Superconductivity · Physics 2019-12-11 Andreas Theiler , Kristofer Björnson , Annica M. Black-Schaffer

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

We demonstrate that quantum interference of electronic waves that are scattered by multiple magnetic impurities in an s-wave superconductor gives rise to novel bound states. We predict that by varying the inter-impurity distance or the…

Strongly Correlated Electrons · Physics 2009-11-07 Dirk K. Morr , Nikolaos A. Stavropoulos

We study the effect of strong spin-orbit coupling (SOC) on bound states induced by impurities in superconductors. The presence of spin-orbit coupling breaks the $\mathbb{SU}(2)$-spin symmetry and causes the superconducting order parameter…

Superconductivity · Physics 2015-06-15 Younghyun Kim , Junhua Zhang , E. Rossi , Roman M. Lutchyn

Carrier-mediated ferromagnetism in a dilute magnetic semiconductor has been studied using i) a single-impurity based generalized RKKY approach which goes beyond linear response theory, and ii) a mean-field-plus-spin-fluctuation (MF+SF)…

Materials Science · Physics 2009-11-10 Avinash Singh , Animesh Datta , Subrat K. Das , Vijay A. Singh

Motivated by recent scanning tunneling microscopy experiments on single magnetic impurities on superconducting surfaces, we present here a comprehensive theoretical study of the interplay between Yu-Shiba-Rusinov bound states and (multiple)…

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