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Magnetic adatoms on superconductors induce Yu-Shiba-Rusinov (YSR) states, which are key to the design of low-dimensional correlated systems and topological superconductivity. Competing magnetic interactions and superconducting pairing lead…

Mesoscale and Nanoscale Physics · Physics 2026-03-31 Lisa M. Rütten , Harald Schmid , Werner M. J. van Weerdenburg , Eva Liebhaber , Kai Rossnagel , Katharina J. Franke

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 theoretically consider a quantum magnetic impurity coupled to a superconductor, and obtain the local density of states at the position of the impurity taking into account the effect of spin-fluctuations and single-ion magnetic…

Superconductivity · Physics 2019-02-20 J. A. Andrade , Alejandro M. Lobos

A single spin in a Josephson junction can reverse the flow of the supercurrent. At mesoscopic length scales, such $\pi$-junctions are employed in various instances from finding the pairing symmetry to quantum computing. In Yu-Shiba-Rusinov…

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 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

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

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

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

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

We calculate the tunneling conductance \sigma between the surface states on the opposite sides of the ultra-thin film of a topological insulator in a parallel magnetic field B_y. The parallel magnetic produces a relative shift of the…

Mesoscale and Nanoscale Physics · Physics 2012-10-05 Sergey S. Pershoguba , Victor M. Yakovenko

Magnetic atoms on superconductors induce localized Yu-Shiba-Rusinov (YSR) bound states. The proposal that topological superconductivity and Majorana modes can be engineered in arrays of hybridizing YSR states has led to their intense…

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…

Chains of magnetic atoms with either strong spin-orbit coupling or spiral magnetic order which are proximity-coupled to superconducting substrates can host topologically non-trivial Majorana bound states. The experimental signature of these…

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

We study topography of the spin-polarized bound states of magnetic impurities embedded in triangular lattice of a superconducting host. Such states have been observed experimentally in 2H-NbSe$_{2}$ crystal [G. C. M'enard et al., Nat.Phys.…

Superconductivity · Physics 2017-11-30 Andrzej Ptok , Szczepan Głodzik , Tadeusz Domański

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

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 demonstrate direct transport between two opposing sets of Yu-Shiba-Rusinov (YSR) subgap states realized in a double quantum dot. This sub-gap transport relies on intrinsic quasiparticle relaxation, but the tunability of the device allows…

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…