Magnetic skyrmions in ferromagnet-superconductor (F/S) heterostructures

Vadimov, Vasilii; Сапожников, М. В.; Mel’nikov, A. S.

doi:10.1063/1.5037934

Cited by 21 publications

(17 citation statements)

References 28 publications

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“…They give rise to emergent electrodynamics [36] and have been studied intensely, in particular, in context of potential applications in spintronics devices [37]. Given the technological maturity in the creation and control of skyrmions [38][39][40], it seems natural to investigate in how far they can, if combined with superconductivity [41], serve as carriers for MBS. However, relatively little work on magnetic skyrmions on superconductors has been done so far.…”

Section: Introductionmentioning

confidence: 99%

Majorana bound states in magnetic skyrmions imposed onto a superconductor

2019

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We consider a superconducting film exchange-coupled to a close-by chiral magnetic layer and study how magnetic skyrmions can induce the formation of Majorana bound states (MBS) in the superconductor. Inspired by a proposal by Yang et al. [Phys. Rev. B 93, 224505 (2016)], which suggested MBS in skyrmions of even winding number, we explore whether such skyrmions could result from a merger of ordinary skyrmions. We conclude that the formation of higher-winding skyrmions is not realistic in chiral magnets. Subsequently, we present a possibility to obtain MBS from realistic skyrmions of winding number one, if a skyrmion-vortex pair is formed instead of a bare skyrmion. Specifically, we show that MBS are supported in a pair of a circular skyrmion and a vortex which both have a winding number of one. We back up our analytical prediction with results from numerical diagonalization and obtain the spatial profile of the MBS. In light of recent experimental progress on the manipulation of skyrmions, such systems are promising candidates to achieve direct spatial control of MBS. arXiv:1904.04177v2 [cond-mat.supr-con]

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Section: Introductionmentioning

confidence: 99%

Majorana bound states in magnetic skyrmions imposed onto a superconductor

2019

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“…Skyrmions has been predicted for K 2 Fe 4 Se 5 material where superconductivity emerges at room temperature and stable Skyrmions become Cooper pairs through a quantum anomaly [15]. Further approaches have been made on this field [16][17][18][19][20] and also analogies between vortex in superconductors systems and Skyrmions in magnetic materials. Skyrmion crystal with a triangular array in magnetic systems was shown to have strong similarities with Abrikosov vortex lattice in type-II superconductors [21].…”

Section: Introductionmentioning

confidence: 99%

Self-dual solitons in a generalized Chern-Simons baby Skyrme model

et al. 2019

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We have shown the existence of self-dual solitons in a type of generalized Chern-Simons baby Skyrme model where the generalized function (depending only in the Skyrme field) is coupled to the sigma-model term. The consistent implementation of the Bogomol'nyi-Prasad-Sommerfield (BPS) formalism requires the generalizing function becomes the superpotential defining properly the selfdual potential. Thus, we have obtained a topological energy lower-bound (Bogomol'nyi bound) and the self-dual equations satisfied by the fields saturating such a bound. The Bogomol'nyi bound being proportional to the topological charge of the Skyrme field is quantized whereas the total magnetic flux is not. Such as expected in a Chern-Simons model the total magnetic flux and the total electrical charge are proportional to each other. Thus, by considering the superpotential a wellbehaved function in the whole target space we have shown the existence of three types of self-dual solutions: compacton solitons, soliton solutions whose tail decays following an exponential-law e −αr 2 (α > 0), and solitons having a power-law decay r −β (β > 0). The profiles of the two last solitons can exhibit a compactonlike behavior. The self-dual equations have been solved numerically and we have depicted the soliton profiles, commenting on the main characteristics exhibited by them.

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“…It is the Skyrme field equation (20) in Bogomol'nyi limit. Therefore, we have verified that the BPS equations imply in both stationary field equations, Ampère law and the Skyrme field equation.…”

Section: Recovering the Skyrme Field Equationmentioning

confidence: 99%

Self-dual solitons in a Maxwell-Chern-Simons baby Skyrme model

et al. 2020

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We have studied the existence de self-dual solitons in a gauged version of the baby Skyrme model in which the gauge field dynamics is governed by the Maxwell-Chern-Simons action. For such a purpose, we have developed a detailed implementation of the Bogomol'nyi-Prasad-Sommerfield formalism providing the self-dual equations whose solutions saturate the energy lower bound. Such a bound related to the topological charge of the Skyrme field becomes quantized whereas both the total magnetic flux and the total electrical charge are not. We have found two types of self-dual Skyrme field profiles: the first is described by a solution which decays following an exponential-law (e −αr 2 , α > 0); the second is portrayed by a solution having a power-law decay (r −β , β > 0). On other hand, in both cases the asymptotic behavior of the gauge field is similar to the one presented in the context of the Abelian Higgs models describing Abrikosov-Nielsen-Olesen charged vortices. Other interesting feature we highlight is the localized magnetic flux inversion, a property does not observed in others gauged baby Skyrme models already studied in literature. Numerical results are presented for rotationally symmetrical field configurations by remarking some of its essential features.

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Magnetic skyrmions in ferromagnet-superconductor (F/S) heterostructures

Cited by 21 publications

References 28 publications

Majorana bound states in magnetic skyrmions imposed onto a superconductor

Majorana bound states in magnetic skyrmions imposed onto a superconductor

Self-dual solitons in a generalized Chern-Simons baby Skyrme model

Self-dual solitons in a Maxwell-Chern-Simons baby Skyrme model

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