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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.…

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…

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 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 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…

强关联电子 · 物理学 2022-12-15 Parameshwar R. Pasnoori , Natan Andrei , Colin Rylands , Patrick Azaria

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,…

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…

介观与纳米尺度物理 · 物理学 2021-05-25 Felix von Oppen , Katharina J. Franke

A Yu-Shiba-Rusinov (YSR) state is a localized in-gap state induced by a magnetic impurity in a superconductor. Recent experiments used an STM tip to manipulate the exchange coupling between an Fe adatom and the ${\rm FeTe}_{0.55}{\rm…

超导电性 · 物理学 2022-06-09 Ching-Kai Chiu , Ziqiang Wang

When the exchange interaction between the impurity spin and the spins of itinerant quasiparticles are strong or weak enough, the ground states for a magnetic impurity in a superconductor are the screened or free spins, respectively. In both…

超导电性 · 物理学 2023-03-01 T. Machida , Y. Nagai , T. Hanaguri

We theoretically study bound states generated by magnetic impurities within conventional $s$-wave superconductors, both analytically and numerically. In determining the effect of the hybridization of two such bound states on the energy…

介观与纳米尺度物理 · 物理学 2015-09-23 Silas Hoffman , Jelena Klinovaja , Tobias Meng , Daniel Loss

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…

超导电性 · 物理学 2025-10-30 Andreas Theiler , Christian R. Ast , Annica M. Black-Schaffer

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.…

超导电性 · 物理学 2024-11-15 Yao Zhang , Tao Xie , Zhen-Yu Liu , Rui Wang , Wenhao Zhang , Chaofei Liu , Ying-Shuang Fu

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…

介观与纳米尺度物理 · 物理学 2021-12-15 Archana Mishra , Pascal Simon , Timo Hyart , Mircea Trif

The insertion of a magnetic impurity in a superconductor induces a first order quantum phase transition as the coupling to the electronic spin density increases. As the transition is crossed, a discontinuity is exhibited by various…

超导电性 · 物理学 2009-11-13 P. D. Sacramento , P. Nogueira , V. R. Vieira , V. K. Dugaev

A magnetic impurity on a superconductor induces Yu-Shiba-Rusinov (YSR) bound states, detected by tunneling spectroscopy as long-lived quasiparticle excitations inside the superconducting gap. Coupled YSR states constitute basic elements to…

介观与纳米尺度物理 · 物理学 2021-02-12 Carmen Rubio-Verdú , Javier Zaldívar , Rok Žitko , Jose Ignacio Pascual

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…

超导电性 · 物理学 2023-03-29 Ming-Hung Wu , Emma Thill , Jacob Crosbie , Tom G. Saunderson , Martin Gradhand

Yu-Shiba-Rusinov (YSR) states arise as sub-gap excitations of a magnetic impurity in a superconducting host. Taking into account the quantum nature of the impurity spin in a single-site approximation, we study the spectral properties of the…

超导电性 · 物理学 2023-06-28 A. Skurativska , J. Ortuzar , D. Bercioux , F. S. Bergeret , M. A. Cazalilla

We present a thermodynamic description of a single magnetic impurity at the edge of a superconducting wire. The impurity exhibits four phases $\unicode{x2014}$ Kondo, Yu-Shiba-Rusinov (YSR) I and II, and local moment $\unicode{x2014}$ a…

强关联电子 · 物理学 2025-08-28 Pradip Kattel , Abay Zhakenov , Natan Andrei

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…

超导电性 · 物理学 2026-02-10 Andreas Theiler , Christian R. Ast , Annica M. Black-Schaffer

Novel many-body and topological electronic phases can be created in assemblies of interacting spins coupled to a superconductor, such as one-dimensional topological superconductors with Majorana zero modes (MZMs) at their ends.…

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