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Majorana bound states (MBSs) are quasiparticles which are their own antiparticles. They are predicted to emerge as zero-energy modes localized at the boundary of a topological superconductor. No intrinsic topological superconductor is known…

Mesoscale and Nanoscale Physics · Physics 2024-09-27 William F. Schiela , Peng Yu , Javad Shabani

Planar Josephson junctions are theoretically predicted to harbor zero-energy Majorana bound states (MBS) in a tunable two-dimensional geometry, at the two ends of the middle metallic channel. Here we show that three distinct topological…

Superconductivity · Physics 2025-10-14 Pankaj Sharma , Narayan Mohanta

In this work, we investigate a quantum-ring coupled to a topological superconductor, hosting Majorana bound states (MBSs). We study the MBSs effects over the spectrum and persistent current along the quantum-ring. To obtain physical…

Mesoscale and Nanoscale Physics · Physics 2020-10-28 F. G. Medina , J. P. Ramos-Andrade , L. Rosales , P. A. Orellana

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

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 study the effect of strong spin-orbit coupling (SOC) on bound states induced by impurities in superconductors. The presence of spin-orbit coupling breaks the $\mathbb{SU}(2)$-spin symmetry and causes the superconducting order parameter…

Superconductivity · Physics 2015-06-15 Younghyun Kim , Junhua Zhang , E. Rossi , Roman M. Lutchyn

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

We investigate the single and multiple defects embedded in a superconducting host, studying interplay between the proximity induced pairing and interactions. We explore influence of the spin-orbit coupling on energies, polarization and…

Mesoscale and Nanoscale Physics · Physics 2018-05-08 S. Glodzik , A. Kobialka , A. Gorczyca-Goraj , A. Ptok , G. Gorski , M. M. Maska , T. Domanski

We revisit the problem of Majorana states in chains of scalar impurities deposited on a superconductor with a mixed s-wave and p-wave pairing. We also study the formation of Majorana states for magnetic impurity chains. We find that the…

Superconductivity · Physics 2022-01-11 Nicholas Sedlmayr , Cristina Bena

In this minireview, we outline the recent experimental and theoretical progress in the creation, characterization and manipulation of Majorana bound states (MBSs) in semiconductor-superconductor (SC) hybrid structures. After an introductory…

Mesoscale and Nanoscale Physics · Physics 2020-07-10 Alexander Schuray , Daniel Frombach , Sunghun Park , Patrik Recher

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…

Superconductivity · Physics 2022-06-09 Ching-Kai Chiu , Ziqiang Wang

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

Magnetic superconductors define a broad class of strongly correlated materials in which superconductivity may coexist with either localized or itinerant long-range magnetic order. In this work we consider a multiband model of a disordered…

Superconductivity · Physics 2022-12-02 Maxim Dzero , Alex Levchenko

We consider a one-dimensional system combining local magnetic moments and a delocalized metallic band on top of a superconducting substrate. This system can describe a chain of magnetic impurities with both localized polarized orbitals and…

Mesoscale and Nanoscale Physics · Physics 2017-12-13 Gian Marcello Andolina , Pascal Simon

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

We consider the effects of magnetic impurities on the surface of superconducting Cu doped $Bi_{2}Se_{3}$ in the odd parity pairing phase which support topologically protected Majorana fermions surface states with linear spectrum. We show…

Superconductivity · Physics 2013-01-11 Ting-Pong Choy , K. T. Law , Tai-Kai Ng

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

Hybrid nanowires combining semiconductor and superconductor materials appear well suited for the creation, detection, and control of Majorana bound states (MBSs). We demonstrate the emergence of MBSs from coalescing Andreev bound states…

Mesoscale and Nanoscale Physics · Physics 2017-01-06 M. T. Deng , S. Vaitiekenas , E. B. Hansen , J. Danon , M. Leijnse , K. Flensberg , J. Nygård , P. Krogstrup , C. M. Marcus

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…

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…