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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…

As is well known, magnetic impurities adsorbed on superconductors, e.g. of the s-wave type, can introduce a bound gap-state (Yu-Shiba-Rusinov resonance). We here investigate within a minimal model how the impurity moment arranges with…

Superconductivity · Physics 2025-06-03 E. S. Andriyakhina , S. L. Khortsev , F. Evers

An impurity hosting a magnetic moment coupled to a conventional $s$-wave superconductor gives rise to so-called Yu-Shiba-Rusinov (YSR) states with energies inside the superconducting gap. Depending on the coupling between the impurity and…

Superconductivity · Physics 2026-02-10 Andreas Theiler , Christian R. Ast , Annica M. Black-Schaffer

We present a fully relativistic first principles based theoretical approach for the calculation of the spectral properties of magnetic impurities on the surface of a superconducting substrate, providing a material specific framework for the…

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…

Recently topological superconducting states has attracted a lot of interest. In this work, we consider a topo- logical superconductor with $Z_2$ topological mirror order [1] and s$\pm$-wave superconducting pairing symmetry, within a…

Superconductivity · Physics 2015-11-18 Yuan-Yen Tai , Hongchul Choi , Towfiq Ahmed , C. S. Ting , Jian-Xin Zhu

Magnetic adatom chains on superconductors provide a platform to explore correlated spin states and emergent quantum phases. Using low-temperature scanning tunneling spectroscopy, we study the distance-dependent interaction between Fe atoms…

Mesoscale and Nanoscale Physics · Physics 2026-03-31 Lisa M. Rütten , Eva Liebhaber , Gael Reecht , Kai Rossnagel , Katharina J. Franke

The observation by scanning tunnelling spectroscopy (STS) of Abrikosov vortex cores in the high-temperature superconductor YBa$_2$Cu$_3$O$_{7-\delta}$ (Y123) has revealed a robust pair of electron-hole symmetric states at finite subgap…

Motivated by recent experiments, which allow for fine tuning of the effective magnetic interaction between the impurity and the superconductor, we investigate the regime around the quantum phase transition where the system's ground state…

Superconductivity · Physics 2025-10-30 Andreas Theiler , Christian R. Ast , Annica M. Black-Schaffer

In two-dimensional topological nodal superconductors, Majorana edge states have been conventionally believed to exhibit only spin-triplet pairing correlations. However, we reveal a substantial spin-singlet pairing component in Majorana edge…

Superconductivity · Physics 2025-06-10 Junjie Zeng , James Jun He , Zhen Ning , Dong-Hui Xu , Rui Wang

The intermediate behavior near a quantum phase transition is crucial for understanding the quantum criticality of various competing phases and their separate origins, yet remains unexplored for the multiple Yu-Shiba-Rusinov (YSR) states.…

Superconductivity · Physics 2024-11-15 Yao Zhang , Tao Xie , Zhen-Yu Liu , Rui Wang , Wenhao Zhang , Chaofei Liu , Ying-Shuang Fu

The spatial structure of in-gap Yu-Shiba-Rusinov (YSR) bound states induced by a magnetic impurity in a superconductor is the essential ingredient for the possibility of engineering collective impurity states. Recently, a saddle-point…

Superconductivity · Physics 2024-12-24 Mateo Uldemolins , Freek Massee , Tristan Cren , Andrej Mesaros , Pascal Simon

The iron-based superconductor FeTe$_{0.55}$Se$_{0.45}$ is a peculiar material: it hosts a surface state with a Dirac dispersion, is a putative topological superconductor hosting Majorana modes in vortices, and has an unusually low Fermi…

We demonstrate that the selective equal spin Andreev reflection (SESAR) spectroscopy can be used in STM experiments to distinguish the zero-energy Majorana quasiparticles from the ordinary fermionic states of the Rashba chain. Such…

Mesoscale and Nanoscale Physics · Physics 2017-11-28 M. M. Maska , T. Domanski

Non-equilibrium transport in hybrid semiconductor-superconductor nanowires is crucial for many quantum phenomena such as generating entangled states via cross Andreev reflection (CAR) processes, detecting topological superconductivity,…

Mesoscale and Nanoscale Physics · Physics 2024-09-11 Paweł Szumniak , Daniel Loss , Jelena Klinovaja

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

Designer heterostructures, where the desired physics emerges from the controlled interactions between different components, represent one of the most powerful strategies to realize unconventional electronic states. This approach has been…

We investigate the effect of spin-orbit coupling on the in-gap bound states localized at magnetic impurities in multi-band superconductors with unconventional (sign-changed) and conventional (sign-unchanged) $s$-wave pairing symmetry, which…

Superconductivity · Physics 2017-05-09 Kangjun Seo , Jay D. Sau , Sumanta Tewari

Motivated by recent scanning tunneling microscopy experiments on single magnetic impurities on superconducting surfaces, we present here a comprehensive theoretical study of the interplay between Yu-Shiba-Rusinov bound states and (multiple)…

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…

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