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Hybrid ferromagnetic/superconducting systems are well known for hosting intriguing phenomena such as emergent triplet superconductivity at their interfaces and the appearance of in-gap, spin polarized Yu-Shiba-Rusinov (YSR) states bound to…

In superconductors, magnetic impurities induce a pair-breaking potential for Cooper pairs, which locally affects the Bogoliubov quasiparticles and gives rise to Yu-Shiba-Rusinov (YSR or Shiba, in short) bound states in the density of states…

Mesoscale and Nanoscale Physics · Physics 2018-03-21 Benjamin W. Heinrich , Jose I. Pascual , Katharina J. Franke

The impact of superconducting correlations on localized electronic states is important for a wide range of experiments in fundamental and applied superconductivity (SC). This includes scanning tunneling microscopy of atomic impurities at…

Superconductivity · Physics 2018-04-11 Matthias Le Dall , Igor Diniz , Luis G. G. V. Dias da Silva , Rogério de Sousa

Robust quantum systems rely on having a protective environment with minimized relaxation channels. Superconducting gaps play an important role in the design of such environments. The interaction of localized single spins with a conventional…

The nature of the superconducting state in two-dimensional transition-metal dichalcogenides remains under active debate. A widely used description invokes so-called Ising superconductivity. In this work, we investigate theoretically this…

Superconductivity · Physics 2026-05-14 Michael Hein , Juan Carlos Cuevas , Wolfgang Belzig

We investigate the spatial evolution of Yu-Shiba-Rusinov (YSR) states resulting from the interaction between Copper phthalocyanine molecules and a superconducting Vanadium (100) surface with submolecular resolution. Each molecule creates…

Superconductivity · Physics 2018-07-03 Markus Etzkorn , Matthias Eltschka , Berthold Jäck , Christian R. Ast , Klaus Kern

Magnetic atoms on a superconductor give rise to Yu-Shiba-Rusinov (YSR) states within the superconducting energy gap. A spin chain of magnetic adatoms on an s-wave superconductor may lead to topological superconductivity accompanied by the…

Superconductivity · Physics 2018-08-15 Anand Kamlapure , Lasse Cornils , Jens Wiebe , Roland Wiesendanger

Magnetic adatom chains on surfaces constitute fascinating quantum spin systems. Superconducting substrates suppress interactions with bulk electronic excitations but couple the adatom spins to a chain of subgap Yu-Shiba-Rusinov (YSR)…

Chains of magnetic adatoms on superconductors have been discussed as promising systems for realizing Majorana end states. Here, we show that dilute Yu-Shiba-Rusinov (YSR) chains are also a versatile platform for quantum magnetism and…

Mesoscale and Nanoscale Physics · Physics 2022-02-02 Jacob F. Steiner , Christophe Mora , Katharina J. Franke , Felix von Oppen

Interfacing superconductors with magnetic or topological materials offers a playground where novel phenomena like topological superconductivity, Majorana zero modes, or superconducting spintronics are emerging. In this work, we discuss…

Topological superconductivity is predicted to emerge in certain magnet-superconductor hybrid systems. Here, we revisit the heterostructure of insulating monolayer CrBr$_3$ and NbSe$_2$, for which different conclusions on the presence of…

Superconductivity · Physics 2025-04-30 Jan P. Cuperus , Daniel Vanmaekelbergh , Ingmar Swart

Using spin and angle-resolved photoemission spectroscopy we investigate a momentum region in Pb quantum well states on Si(111) where hybridization between Rashba-split bands alters the band structure significantly. Starting from the Rashba…

Materials Science · Physics 2014-03-24 Bartosz Slomski , Gabriel Landolt , Stefan Muff , Fabian Meier , Jürg Osterwalder , J. Hugo Dil

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…

We study the subgap Yu-Shiba-Rusinov (YSR) states in the Richardson's model of a superconductor with a magnetic impurity for different electron pairing strengths from the weak-coupling Bardeen-Cooper-Schrieffer (BCS) regime to the…

Superconductivity · Physics 2022-08-31 Rok Žitko , Luka Pavešić

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

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…

Magnetic atoms on heavy-element superconducting substrates are potential building blocks for realizing topological superconductivity in one- and two-dimensional atomic arrays. Their localized magnetic moments induce so-called…

When the exchange interaction between the impurity spin and the spins of itinerant quasiparticles are strong or weak enough, the ground states for a magnetic impurity in a superconductor are the screened or free spins, respectively. In both…

Superconductivity · Physics 2023-03-01 T. Machida , Y. Nagai , T. Hanaguri

We propose a method to probe and control the interactions between an ensemble of magnetic impurities in a superconductor via microwave radiation. Our method relies upon the presence of sub-gap Yu-Shiba-Rusinov (YSR) states associated with…

Mesoscale and Nanoscale Physics · Physics 2019-11-20 Kamphol Akkaravarawong , Jukka I. Väyrynen , Jay D. Sau , Eugene A. Demler , Leonid I. Glazman , Norman Y. Yao

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