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Despite plenty of room at the bottom, there is a limit to the miniaturization of every process. For charge transport this is realized by the coupling of single discrete energy levels at the atomic scale. Here, we demonstrate sequential…

Conventional in-gap Yu-Shiba-Rusinov states require two ingredients: magnetic atoms and a superconducting host that, in the normal phase, has a finite density of states at the Fermi energy. Here we show that hydrogenated graphene can host…

Mesoscale and Nanoscale Physics · Physics 2016-04-06 J. L. Lado , J. Fernandez-Rossier

Magnetic adatoms coupled to an $s$-wave superconductor give rise to local bound states, so-called Yu-Shiba-Rusinov states. Focusing on the ultimate goal of tailoring chains of such adatoms into a topologically superconducting phase, we…

Superconductivity · Physics 2023-02-15 Philip Beck , Lucas Schneider , Roland Wiesendanger , Jens Wiebe

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 re-examine the problem of a magnetic impurity coupled to a superconductor focusing on the role of quantum fluctuations. We study in detail, a system that consists of a one-dimensional charge conserving spin-singlet superconductor coupled…

Strongly Correlated Electrons · Physics 2022-12-15 Parameshwar R. Pasnoori , Natan Andrei , Colin Rylands , Patrick Azaria

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

The strong coupling of a superconductor to a spinful quantum dot results in Yu-Shiba-Rusinov (YSR) discrete subgap excitations. In isolation and at zero temperature, the excitations are $\delta$ resonances. In transport experiments,…

Quantum condensed states in solids often reveal their fundamental nature via interactions with impurities, as epitomized by Yu-Shiba-Rusinov (YSR) bound states at magnetic impurities in superconductors. Although analogous YSR bound states…

Strongly Correlated Electrons · Physics 2026-01-01 SeongJin Kwon , Kyung-Hwan Jin , Jong Eun Han , Siwon Lee , ChoongJae Won , Sang-Wook Cheong , Han Woong Yeom

Topological superconductors (TSCs) in superconducting hybrid heterostructures, which integrate superconducting and non-superconducting materials, have been intensely investigated with the hope of discovering exotic non-Abelian anyons for…

Superconductivity · Physics 2026-04-14 Joseph J. Cuozzo , Sayed Ali Akbar Ghorashi , Dale Huber , Wei Pan , François Léonard

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

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…

Helical spin textures in one-dimensional magnetic chains on superconductors can enable topological superconductivity and host Majorana zero modes, independent of the presence of intrinsic spin-orbit coupling. Here, we show that gadolinium…

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 investigate the impact of a bosonic degree of freedom on Yu-Shiba-Rusinov (YSR) states emerging from a magnetic impurity in a conventional superconductor. Starting from the Anderson impurity model, we predict that an additional p-wave…

Strongly Correlated Electrons · Physics 2023-03-21 Helene Müller , Martin Eckstein , Silvia Viola Kusminskiy

The experimental advances in the study of time-dependent phenomena has opened a new path to investigating the complex electronic structure of strongly correlated and topological materials. Yu-Shiba-Rusinov (YSR) states induced by magnetic…

Superconductivity · Physics 2021-12-16 Jasmin Bedow , Eric Mascot , Dirk K. Morr

The exchange scattering at magnetic adsorbates on superconductors gives rise to Yu-Shiba-Rusinov (YSR) bound states. Depending on the strength of the exchange coupling, the magnetic moment perturbs the Cooper pair condensate only weakly,…

Magnetic impurities on superconductors present a viable platform for building advanced applications in quantum technologies. However, a controlled manipulation of their quantum states continues to pose a significant challenge, hindering the…

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

We investigate long-range chiral magnetic interactions among adatoms mediated by surface states spin-splitted by spin-orbit coupling. Using the Rashba model, the tensor of exchange interactions is extracted wherein a pseudo-dipolar…

Mesoscale and Nanoscale Physics · Physics 2017-03-08 Juba Bouaziz , Manuel dos Santos Dias , Abdelhamid Ziane , Mouloud Benakki , Stefan Blügel , Samir Lounis

The magnetic exchange coupling between magnetic impurities and a superconductor induce so-called Yu-Shiba-Rusinov (YSR) states which undergo a quantum phase transition (QPT) upon increasing the exchange interaction beyond a critical value.…