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Recent studies of mutually interacting magnetic atoms coupled to a superconductor have gained enormous interest due to the potential realization of topological superconductivity. The Kondo exchange coupling J_K of such atoms with the…

Magnetic impurities on superconductors induce discrete bound levels inside the superconducting gap, known as Yu-Shiba-Rusinov (YSR) states. YSR levels are fully spin-polarized such that the tunneling between YSR states depends on their…

The coupling of a spin to an underlying substrate is the basis for a plethora of phenomena. In the case of a metallic substrate, Kondo screening of the adatom magnetic moment can occur. As the substrate turns superconducting, an intriguing…

Superconductivity · Physics 2020-11-18 Artem Odobesko , D. Di Sante , A. Kowalski , S. Wilfert , F. Friedrich , R. Thomale , G. Sangiovanni , M. Bode

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

Magnetic impurities have a dramatic effect on superconductivity by breaking the time-reversal symmetry and inducing so-called Yu-Shiba-Rusinov (YSR) low energy bound states within the superconducting gap. The spatial extent of YSR states is…

Mesoscale and Nanoscale Physics · Physics 2018-04-25 Shawulienu Kezilebieke , Marc Dvorak , Teemu Ojanen , Peter Liljeroth

It has been predicted theoretically and found experimentally that magnetic impurities induce localized bound states within the superconducting energy gap, called Yu-Shiba-Rusinov (YSR) states. Combining symmetry analysis with experimental…

Superconductivity · Physics 2023-03-29 Ming-Hung Wu , Emma Thill , Jacob Crosbie , Tom G. Saunderson , Martin Gradhand

Magnetic impurities in $s$-wave superconductors lead to spin-polarized Yu-Shiba-Rusinov (YSR) in-gap states. Chains of magnetic impurities offer one of the most viable routes for the realization of Majorana bound states which hold a promise…

Mesoscale and Nanoscale Physics · Physics 2021-12-15 Archana Mishra , Pascal Simon , Timo Hyart , Mircea Trif

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…

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

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…

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

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…

We investigate charge and spin conductance, charge and spin quantum noise, along with charge and spin $\Delta_T$ noise, as diagnostic tools to distinguish Yu-Shiba-Rusinov (YSR) states from Majorana-bound states (MBS) in a one-dimensional…

Mesoscale and Nanoscale Physics · Physics 2025-07-14 Sachiraj Mishra , Colin Benjamin

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…

Conventional superconductors disordered by magnetic impurities demonstrate physical properties drastically different from their pristine counterparts. In our previous work [Phys. Rev. B 92, 245430 (2015)] we explored spectral and…

Mesoscale and Nanoscale Physics · Physics 2016-10-18 Daniel Persson , Oleksii Shevtsov , Tomas Löfwander , Mikael Fogelström

Very recent experiments have reported the tunneling between Yu-Shiba-Rusinov (YSR) bound states at the atomic scale. These experiments have been realized with the help of a scanning tunneling microscope where a superconducting tip is…

Superconductivity · Physics 2024-01-09 A. Villas , R. L. Klees , G. Morrás , H. Huang , C. R. Ast , G. Rastelli , W. Belzig , J. C. Cuevas

Yu-Shiba-Rusinov (YSR) bound states appear when a magnetic atom interacts with a superconductor. Here, we report on spin-resolved spectroscopic studies of YSR states related with Fe atoms deposited on the surface of the topological…

Superconductivity · Physics 2021-02-24 Dongfei Wang , Jens Wiebe , Ruidan Zhong , Genda Gu , Roland Wiesendanger

Magnetic impurities on superconductors lead to bound states within the superconducting gap, so called Yu-Shiba-Rusinov (YSR) states. They are parity protected, which enhances their lifetime, but makes it more difficult to excite them. Here,…

A quantum dot coupled to a superconducting contact provides a tunable artificial analogue of a magnetic atom in a superconductor, a paradigmatic quantum impurity problem. We realize such a system with an InAs semiconductor nanowire…

Mesoscale and Nanoscale Physics · Physics 2017-05-24 Eduardo J. H. Lee , Xiaocheng Jiang , Rok Zitko , Ramon Aguado , Charles M. Lieber , Silvano De Franceschi

A magnetic impurity on a superconducting substrate induces in-gap Yu-Shiba-Rusinov (YSR) bound states, whose intricate spatial structure crucially influences the possibilities of engineering collective impurity states. By means of a…

Superconductivity · Physics 2022-04-12 Mateo Uldemolins , Andrej Mesaros , Pascal Simon