Majorana bound states in magnetic impurity chains: Effects of<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mi>d</mml:mi></mml:math>-wave pairing

Mashkoori, Mahdi; Black‐Schaffer, Annica M.

doi:10.1103/physrevb.99.024505

Cited by 15 publications

(6 citation statements)

References 63 publications

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“…The width of the SC, L y , is varied in order to tune the influence of the SC on the NW [39][40][41][42]. We have verified that our results remain qualitatively unchanged for ∆ sc and Γ both being smaller (or even larger), as well as when ∆ sc (i) is calculated self-consistently [50][51][52][53][54]. Our results also do not depend on L x , L NW , junction length, provided L x , L NW are longer than the superconducting coherence length and the junction is short, see Supplementary Material (SM) for more information [55].…”

supporting

confidence: 56%

Supercurrent Detection of Topologically Trivial Zero-Energy States in Nanowire Junctions

2019

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We report the emergence of zero-energy states in the trivial phase of a short nanowire junction with strong spin-orbit coupling and magnetic field, formed by strong coupling between the nanowire and two superconductors. The zero-energy states appear in the junction when the superconductors induce a large energy shift in the nanowire, such that the junction naturally forms a quantum dot, a process that is highly tunable by the superconductor width. Most importantly, we demonstrate that the zero-energy states produce a π-shift in the phase-biased supercurrent, which can be used as a simple tool for their unambiguous detection, ruling out any Majorana-like interpretation.

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supporting

confidence: 56%

Supercurrent Detection of Topologically Trivial Zero-Energy States in Nanowire Junctions

2019

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“…8 A much studied setup consist of a 1D chain of magnetic impurities on the surface of a conventional superconductor with an effective spin-orbit coupling [9][10][11][12][13] or are closely related. [14][15][16][17] Experimental realizations, using e.g. Fe impurities on a Pb surface, have measured zero-energy states very localized at the chain end points, [18][19][20][21] with the spin-polarization being consistent with MBSs and not other in-gap states, 22 such as Yu-Shiba-Rusinov (YSR) states, which are always present for magnetic impurities in superconductors.…”

Section: Introductionmentioning

confidence: 99%

Majorana bound state localization and energy oscillations for magnetic impurity chains on conventional superconductors

2019

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We study a chain of magnetic impurities on a conventional superconductor with spin-orbit coupling, treating the superconducting order fully self-consistently. We find and quantify strong hybridization between the topological edge Majorana bound states (MBSs) and in-gap Yu-Shiba-Rusinov (YSR) states, which causes increasing energy oscillations as a function of magnetic impurity strength, even when the direct MBS overlap is negligible. By treating the MBS as a topological boundary state, dependent only on the effective mass gap, we arrive at a fully parameter-free functional form of the its localization which decreases with magnetic impurity strength, opposite to the behavior of the superconducting coherence length.

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“…In recent times, much attention has been directed at an alternative proposal, where a TSC phase can be realized in a chain of magnetic impurities placed on the surface of a s-wave superconductor [34][35][36][37][38][39][40][41][42][43][44][45][46][47][48][49][50][51][52][53]. Physically, magnetic impurities placed on a conventional superconductor give rise to Yu-Shiba-Rusinov (YSR) states [54][55][56][57].…”

Section: Introductionmentioning

confidence: 99%

Tailoring phase transition from topological superconductor to trivial superconductor induced by magnetic textures of a spin-chain on a $p$-wave superconductor

Chatterjee¹,

Pradhan²,

Nandy³

et al. 2022

Preprint

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We theoretically investigate the phase transition from a non-trivial topological p-wave superconductor to a trivial s-wave like superconducting phase through a gapless phase, driven by different magnetic textures as an one-dimensional spin-chain impurity, e.g., Bloch-type, in-plane and out-ofplane Néel-type spin-chains etc. In our proposal, the chain of magnetic impurities is placed on a spin-triplet p-wave superconductor where we obtain numerically as well as analytically an effective s-wave like pairing due to spin rotation, resulting in gradual destruction of the Majorana zero modes present in the topological superconducting phase. In particular, when the impurity spins are antiferromagnetically aligned i.e., spiral wave vector Gs = π, the system becomes an effective s-wave superconductor without Majorana zero modes in the local density of states. The Shiba bands, on the other hand, formed due to the overlapping of Yu-Shiba-Rusinov states play a crucial role in this topological to trivial superconductor phase transition, confirmed by the sign change in the minigap within the Shiba bands. Moreover, interference of the Shiba bands exhibiting oscillatory behavior within the superconducting gap, −∆p to ∆p, as a function of Gs, also reflects an important evidence for the formation of an effective s-wave pairing. Such oscillation is absent in the p-wave regime. Our study paves the way to foresee the stability and tunability of topological superconducting phase via controlled manipulation of the spin spiral configurations of the magnetic impurity chain.

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Majorana bound states in magnetic impurity chains: Effects ofd-wave pairing

Cited by 15 publications

References 63 publications

Supercurrent Detection of Topologically Trivial Zero-Energy States in Nanowire Junctions

Supercurrent Detection of Topologically Trivial Zero-Energy States in Nanowire Junctions

Majorana bound state localization and energy oscillations for magnetic impurity chains on conventional superconductors

Tailoring phase transition from topological superconductor to trivial superconductor induced by magnetic textures of a spin-chain on a $p$-wave superconductor

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