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We study the Yu-Shiba-Rusinov states in materials with bulk band inversion such as iron-based topological superconductors or doped topological insulators. We show that the structure of the YSR state spectrum depends on the doping level…

Superconductivity · Physics 2026-01-19 Didier Ndengeyintwali , Shiva Heidari , Cody Youmans , Pavan Hosur , Pouyan Ghaemi

We show that the surface of an $s$-wave superconductor decorated with a two-dimensional lattice of magnetic impurities can exhibit chiral topological superconductivity. If impurities order ferromagnetically and the superconducting surface…

Mesoscale and Nanoscale Physics · Physics 2016-07-29 Jian Li , Titus Neupert , Zhi Jun Wang , A. H. MacDonald , A. Yazdani , B. Andrei Bernevig

An unusual form of superconductivity, called Ising superconductivity, has recently been uncovered in mono- and few-layered transition metal dichalcogenides. This 2D superconducting state is characterized by the so-called Ising spin-orbit…

Strongly Correlated Electrons · Physics 2024-02-20 Gargee Sharma , Sumanta Tewari

Theoretical descriptions of Yu-Shiba-Rusinov (YSR) states induced by magnetic impurities inside the gap of a superconductor typically rely on a classical spin model or are restricted to spin-1/2 quantum spins. These models fail to account…

Mesoscale and Nanoscale Physics · Physics 2021-05-25 Felix von Oppen , Katharina J. Franke

When magnetic atoms are inserted inside a superconductor, the superconducting order is locally depleted as a result of the antagonistic nature of magnetism and superconductivity1. Thereby, distinctive spectral features, known as…

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

We predict that the occurence of zero energy Yu-Shiba-Rusinov(YSR) bound states in two different setups, metal-spin flipper-metal-s-wave superconductor ($N_{1}-sf-N_{2}-S$) and superconductor-metal-spin flipper-metal-superconductor…

Superconductivity · Physics 2024-12-17 Subhajit Pal , Colin Benjamin

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

Magnetic impurities in superconductors are of increasing interest due to emergent Yu-Shiba-Rusinov (YSR) states and Majorana zero modes for fault-tolerant quantum computation. However, a direct relationship between the YSR multiple states…

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

Localized or propagating Majorana boundary modes are the key feature of topological superconductors. They are rare in naturally-occurring compounds, but the tailored manipulation of quantum matter offers opportunities for their realization.…

Measurements of magnetic properties at the atomic scale require probes capable of combining high spatial resolution with spin sensitivity. Spin-polarized scanning tunneling microscopy (SP-STM) fulfills these conditions by using atomically…

Superconductivity · Physics 2023-07-20 Felix Küster , Souvik Das , Stuart S. P. Parkin , Paolo Sessi

Magnetic adatoms on a superconducting substrate undergo a quantum phase transition as their exchange coupling to the conduction electrons increases. For quantum spins, this transition is accompanied by screening of the adatom spin. Here, we…

Mesoscale and Nanoscale Physics · Physics 2022-06-22 Harald Schmid , Jacob F. Steiner , Katharina J. Franke , Felix von Oppen

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…

Most superconducting mechanisms pair electrons within the same band, forming spin singlets. However, the discovery of multi-band superconductivity has opened new scenarios for pairing, particularly in systems with strong spin-orbit…

Spin-dependent scattering from magnetic impurities inside a superconductor gives rise to Yu-Shiba-Rusinov (YSR) states within the superconducting gap. As such, YSR states have been very successfully modeled with an effective scattering…

We study a chain of magnetic moments exchange coupled to a conventional three dimensional superconductor. In the normal state the chain orders into a collinear configuration, while in the superconducting phase we find that ferromagnetism is…

Superconductivity · Physics 2016-04-27 M. Schecter , K. Flensberg , M. H. Christensen , B. M. Andersen , J. Paaske

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

We study the magnetic and electronic phases of a 1D magnetic adatom chain on a 2D superconductor. In particular, we confirm the existence of a `self-organized' 1D topologically non-trivial superconducting phase within the set of subgap…

Superconductivity · Physics 2016-10-20 M. H. Christensen , M. Schecter , K. Flensberg , B. M. Andersen , J. Paaske

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…