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A magnetic atomic impurity inside a superconductor locally distorts superconductivity. They scatter Cooper pairs as a potential with broken time-reversal symmetry, what leads to localized bound states with subgap excitation energies, named…

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

The spectrum of a segment of InAs nanowire, confined between two superconducting leads, was measured as function of gate voltage and superconducting phase difference using a third normal-metal tunnel probe. Sub-gap resonances for odd…

Mesoscale and Nanoscale Physics · Physics 2014-01-14 W. Chang , V. E. Manucharyan , T. S. Jespersen , J. Nygard , C. M. Marcus

Semiconductor quantum dots in close proximity to superconductors may provoke localized bound states within the superconducting energy gap known as Yu-Shiba-Rusinov (YSR) state, which is a promising candidate for constructing Majorana zero…

Mesoscale and Nanoscale Physics · Physics 2023-10-10 Jia-Ning Wang , Yong-Chen Xiong , Wang-Huai Zhou , Tan Peng , Ziyu Wang

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 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

We consider a superconductor proximity coupled to a two-dimensional ferromagnetic film with a skyrmion texture. Using the T-matrix calculations and numerical modeling we calculate the spin-polarized local density of states in the…

Superconductivity · Physics 2016-09-15 Sergey S. Pershoguba , Sho Nakosai , Alexander V. Balatsky

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

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

Fully-relativistic first-principles calculations of the Fe(001) surface demonstrate that resonant surface (interface) states may produce sizeable tunneling anisotropic magnetoresistance in magnetic tunnel junctions with a single magnetic…

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…

Considering Rashba quantum wires with a proximity-induced superconducting gap as physical realizations of Majorana fermions and quantum dots, we calculate the overlap of the Majorana wave functions with the local wave functions on the dot.…

Mesoscale and Nanoscale Physics · Physics 2017-09-13 Silas Hoffman , Denis Chevallier , Daniel Loss , Jelena Klinovaja

Chains of magnetic atoms placed on the surface of an s-wave superconductor with large spin-orbit coupling provide a promising platform for the realization of topological superconducting states characterized by the presence of Majorana…

Superconductivity · Physics 2016-01-20 Junhua Zhang , Younghyun Kim , E. Rossi , Roman M. Lutchyn

We investigate the single and multiple defects embedded in a superconducting host, studying interplay between the proximity induced pairing and interactions. We explore influence of the spin-orbit coupling on energies, polarization and…

Mesoscale and Nanoscale Physics · Physics 2018-05-08 S. Glodzik , A. Kobialka , A. Gorczyca-Goraj , A. Ptok , G. Gorski , M. M. Maska , T. Domanski

Understanding the interplay between individual magnetic impurities and superconductivity is crucial for bottom-up construction of novel phases of matter. For decades, the description by Yu, Shiba and Rusinov (YSR) of single spins in a…

Superconductivity · Physics 2025-02-20 M. Uldemolins , A. Mesaros , G. D. Gu , A. Palacio-Morales , M. Aprili , P. Simon , F. Massee

A superconductor with interacting paramagnetic impurities is considered. The impurities are coupled via the Ruderman-Kittel-Kasuya-Yoshida interaction. At a temperature Tg, the system of magnetic impurities forms a spin-glass state. We…

Superconductivity · Physics 2009-11-07 Victor Galitski , A. I. Larkin

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 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

The competition of the free spin state of a paramagnetic impurity on a superconductor with its screened counterpart is characterized by the energy scale of Kondo screening $k_BT_K$ compared to the superconducting pairing energy $\Delta$.…

Superconductivity · Physics 2017-12-12 Nino Hatter , Benjamin W. Heinrich , Daniela Rolf , Katharina J. Franke

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…

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