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We study the density of states in disordered s-wave superconductors with a small gap anisotropy. Disorder comes in the form of common nonmagnetic scatterers and pairing-potential impurities, which interact with electrons via an electric…

Superconductivity · Physics 2016-03-30 Anton Bespalov , Manuel Houzet , Julia S. Meyer , Yuli V. Nazarov

Spin-orbit coupled superconductors are potentially interesting candidates for realizing topological and potentially non-Abelian states with Majorana Fermions. We argue that time-reversal broken spin-orbit coupled superconductors generically…

Superconductivity · Physics 2013-11-13 Jay D. Sau , Eugene Demler

Magnetic impurities inserted in a $s$-wave superconductor give rise to spin-polarized in-gap states called Shiba states. We study the back-action of these induced states on the dynamics of the classical moments. We show that the Shiba state…

Mesoscale and Nanoscale Physics · Physics 2021-03-24 Archana Mishra , So Takei , Pascal Simon , Mircea Trif

A chain of magnetic impurities deposited on the surface of a superconductor can form a topological Shiba band that supports Majorana zero modes and holds a promise for topological quantum computing. Yet, most experiments scrutinizing these…

Mesoscale and Nanoscale Physics · Physics 2023-09-26 Pei-Xin Shen , Vivien Perrin , Mircea Trif , Pascal Simon

Two semiconducting quantum dots (QDs) coupled through a superconductor constitute a minimal realisation of a Kitaev chain with Majorana zero modes (MZMs). Such MZMs can be detected by e.g., tunneling conductance between each QD and normal…

Mesoscale and Nanoscale Physics · Physics 2025-07-30 Miguel Alvarado , Alfredo Levy Yeyati , Ramón Aguado , Rubén Seoane Souto

Andreev bound states can occur at single impurities in superconductors if the impurities suppress superconductivity for a given system. In particular, well-known Yu-Shiba-Rusinov states occur at magnetic impurities in conventional s-wave…

Superconductivity · Physics 2025-10-30 G. A. Bobkov , I. V. Bobkova , A. M. Bobkov

Quantum magnetic impurities give rise to a wealth of phenomena attracting tremendous research interest in recent years. On a normal metal, magnetic impurities generate the correlation-driven Kondo effect. On a superconductor, bound states…

We analyze the phase diagram associated with a pair of magnetic impurities trapped in a superconducting host. The natural interplay between Kondo screening, superconductivity and exchange interactions leads to a rich array of competing…

Superconductivity · Physics 2014-12-15 N. Y. Yao , C. P. Moca , I. Weymann , J. D. Sau , M. D. Lukin , E. A. Demler , G. Zaránd

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

The Yu-Shiba-Rusinov (YSR) state appears as a bound state of a quasiparticle at a magnetic atom embedded in a superconductor. We discuss why the YSR state has energy below the superconducting gap and why the pair potential changes the sign…

Superconductivity · Physics 2022-10-07 Shu-Ichiro Suzuki , Takumi Sato , Yasuhiro Asano

We study the magnetic anisotropy effects on the localized sub-gap excitations induced by quantum impurities coupled to a superconducting host. We establish the ground-state phase diagrams for single-channel and two-channel high-spin Kondo…

Superconductivity · Physics 2011-05-25 Rok Zitko , Oliver Bodensiek , Thomas Pruschke

Recently, it has been suggested that topological superconductivity and Majorana end states can be realized in a chain of magnetic impurities on the surface of an s-wave superconductor when the magnetic moments form a spin helix as a result…

Mesoscale and Nanoscale Physics · Physics 2013-10-17 Falko Pientka , Leonid I. Glazman , Felix von Oppen

We consider the effects of magnetic impurities on the surface of superconducting Cu doped $Bi_{2}Se_{3}$ in the odd parity pairing phase which support topologically protected Majorana fermions surface states with linear spectrum. We show…

Superconductivity · Physics 2013-01-11 Ting-Pong Choy , K. T. Law , Tai-Kai Ng

A magnetic impurity in a fermionic superfluid hosts bound quasiparticle states known as Yu-Shiba-Rusinov (YSR) states. We argue here that, if the impurity is mobile (i.e., has a finite mass), the impurity and its bound YSR quasiparticle…

Quantum Gases · Physics 2015-03-10 Sarang Gopalakrishnan , Colin V. Parker , Eugene Demler

We investigate the effect of magnetic impurities on the local quasiparticle density of states (LDOS) in iron-based superconductors. Employing the two-orbital model where 3$d$ electron and hole conduction bands are hybridizing with the…

Superconductivity · Physics 2010-01-26 Alireza Akbari , Ilya Eremin , Peter Thalmeier

Realizing Majorana bound states in chains of magnetic impurities on $s$-wave superconducting substrates relies on a fine tuning of the energy and hybridization of the single magnetic impurity bound states and of the spin-orbit coupling…

Superconductivity · Physics 2025-04-14 Philip Beck , Lucas Schneider , Roland Wiesendanger , Jens Wiebe

We show that standard impurities, magnetic or nonmagnetic, weak or strong, can cause topological phase transitions inside the vortex cores of a conventional s-wave superconductor. Because of the nonzero angular momentum of Cooper pairs in…

Superconductivity · Physics 2020-10-20 Shengshan Qin , Chen Fang , Fu-chun Zhang , Jiangping Hu

We consider an atomic chain of magnetic impurities on the surface of a spin-orbit coupled superconductor with a dominating $d$-wave and sub-dominating $s$-wave order parameters. In particular, we investigate the properties of the Majorana…

Superconductivity · Physics 2019-01-16 Mahdi Mashkoori , Annica Black-Schaffer

As is well known, magnetic impurities adsorbed on superconductors, e.g. of the s-wave type, can introduce a bound gap-state (Yu-Shiba-Rusinov resonance). We here investigate within a minimal model how the impurity moment arranges with…

Superconductivity · Physics 2025-06-03 E. S. Andriyakhina , S. L. Khortsev , F. Evers

We investigate the nature of Yu-Shiba-Rusinov (YSR) subgap states induced by single Manganese (Mn) atoms adsorbed on different surface orientations of superconducting lead (Pb). Depending on the adsorption site, we detect a distinct number…

Mesoscale and Nanoscale Physics · Physics 2016-10-26 Michael Ruby , Yang Peng , Felix von Oppen , Benjamin W. Heinrich , Katharina J. Franke