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We review recent developments in our understanding of how impurities influence the electronic states in the bulk of superconductors. Our focus is on the quasi-localized states in the vicinity of impurity sites in conventional and…

Superconductivity · Physics 2007-05-23 A. V. Balatsky , I. Vekhter , Jian-Xin Zhu

We study subgap states induced by a single impurity in an s-wave superconductor with suppressed pairing. For concreteness, we consider a bulk superconductor containing a normal spherical region. We find that a point impurity in this system…

Superconductivity · Physics 2021-10-12 A. A. Bespalov

Superconductor-Ferromagnet (SF) heterostructures are of interest due to numerous phenomena related to the spin-dependent interaction of Cooper pairs with the magnetization. Here we address the effects of a magnetic insulator on the density…

Superconductivity · Physics 2018-06-18 Wolfgang Belzig , Detlef Beckmann

Chains of magnetic atoms placed on the surface of an s-wave superconductor with large spin-orbit coupling provide a promising platform for the realization of topological superconducting states characterized by the presence of Majorana…

Superconductivity · Physics 2016-01-20 Junhua Zhang , Younghyun Kim , E. Rossi , Roman M. Lutchyn

We consider a problem of superconductivity coexistence with the spin-density-wave order in disordered multiband metals. It is assumed that random variations of the disorder potential on short length scales render the interactions between…

Superconductivity · Physics 2021-07-28 Maxim Dzero , Alex Levchenko

The nature of the superconducting state in two-dimensional transition-metal dichalcogenides remains under active debate. A widely used description invokes so-called Ising superconductivity. In this work, we investigate theoretically this…

Superconductivity · Physics 2026-05-14 Michael Hein , Juan Carlos Cuevas , Wolfgang Belzig

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

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…

The quantum coherent coupling of completely different degrees of freedom is a challenging path towards creating new functionalities for quantum electronics. Usually the antagonistic coupling between spins of magnetic impurities and…

We theoretically study the spectrum induced by one and two magnetic impurities near the boundary of a one-dimensional nanowire in proximity to a conventional $s$-wave superconductor and extract the ground state magnetic configuration. We…

Mesoscale and Nanoscale Physics · Physics 2021-04-14 Oindrila Deb , Silas Hoffman , Daniel Loss , Jelena Klinovaja

We present a comprehensive theoretical study of thermodynamic properties of superconductors with a dilute concentration of magnetic impurities, with focus on how the properties of the superconducting host change if the magnetic moments of…

Mesoscale and Nanoscale Physics · Physics 2016-01-08 Daniel Persson , Oleksii Shevtsov , Tomas Löfwander , Mikael Fogelström

When subject to a weak magnetic impurity distribution, the order parameter and quasi-particle energy gap of a weakly disordered bulk s-wave superconductor are suppressed. In the Born scattering limit, recent investigations have shown that…

Superconductivity · Physics 2009-11-07 Francesca M. Marchetti , B. D. Simons

Nonmagnetic impurity scattering is known to shift up the Ginzburg-Landau parameter $\kappa$ of a superconductor. In this case, when the system is initially in type I, it can change its magnetic response, crossing the intertype domain with…

Superconductivity · Physics 2023-09-22 P. M. Marychev , A. A. Shanenko , A. Vagov

We investigate the effect of magnetic impurities on the local quasiparticle density of states (LDOS) in iron-based superconductors. Employing the two-orbital model where 3$d$ electron and hole conduction bands are hybridizing with the…

Superconductivity · Physics 2010-01-26 Alireza Akbari , Ilya Eremin , Peter Thalmeier

A magnetic atomic impurity inside a superconductor locally distorts superconductivity. They scatter Cooper pairs as a potential with broken time-reversal symmetry, what leads to localized bound states with subgap excitation energies, named…

We study theoretically the asymptotic behavior of the Shiba bound states associated with magnetic impurities embedded in both 2D and 1D anomalous superconductors. We calculate analytically the spatial dependence of the local density of…

Superconductivity · Physics 2016-10-18 Vardan Kaladzhyan , Cristina Bena , Pascal Simon

Disorder - impurities and defects violating an ideal order - is always present in solids. It can result in interesting and sometimes unexpected effects in multiband superconductors. Especially if the superconductivity is unconventional thus…

Superconductivity · Physics 2017-04-11 M. M. Korshunov , Yu. N. Togushova , O. V. Dolgov

Andreev bound states can occur at single impurities in superconductors if the impurities suppress superconductivity for a given system. In particular, well-known Yu-Shiba-Rusinov states occur at magnetic impurities in conventional s-wave…

Superconductivity · Physics 2025-10-30 G. A. Bobkov , I. V. Bobkova , A. M. Bobkov

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

We show that dilute magnetic impurities in a conventional superconductor give origin to an odd-frequency component of superconductivity, manifesting itself in Yu-Shiba-Rusinov bands forming within the bulk superconducting gap. Our results…

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