Aspects of Topological Superconductivity in 2D Systems: Noncollinear Magnetism, Skyrmions, and Higher-order Topology

Zlotnikov, A. O.; Шустин, М. С.; Fedoseev, A. D.

doi:10.1007/s10948-021-06029-z

Cited by 28 publications

(16 citation statements)

References 224 publications

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“…Mutual influence of magnetism and superconductivity in heterostructures has long history of research [1][2][3][4][5]. Recently, superconductor-ferromagnet (SF) bilayers hosting topologically nontrivial magnetic configurations have attracted much attention [6][7][8]. Such topologically stable configurations can be stabilized by Dzyaloshinskii-Moriya interaction (DMI) in ferromagnetic films [9].…”

Section: Doi: 101134/s0021364022602512mentioning

confidence: 99%

Repulsion of a Néel-Type Skyrmion from a Pearl Vortex in Thin Ferromagnet–Superconductor Heterostructures

Andriaykhina

Burmistrov

2022

Jetp Lett.

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In this paper we study repulsion of a Néel-type skyrmion in a chiral ferromagnetic film from a superconducting Pearl vortex due to the stray fields. Taking into account an effect of the vortex magnetic field on the skyrmion non-perturbatively, we find that the repulsion between them is suppressed with increase of the dimensionless strength of the vortex magnetic field. This manifests itself in complicated evolution of the free energy with increase of the vortex magnetic field and reduction of the equilibrium distance between the centers of Néel-type skyrmion and Pearl vortex.

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Section: Doi: 101134/s0021364022602512mentioning

confidence: 99%

Repulsion of a Néel-Type Skyrmion from a Pearl Vortex in Thin Ferromagnet–Superconductor Heterostructures

Andriaykhina

Burmistrov

2022

Jetp Lett.

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“…2D lattices of magnetic atoms, or thin magnetic layers, deposited on the surface of a conventional s-wave superconductor which supplies strong spin-orbit coupling. [3][4][5][6] Related concepts which eliminate the need of strong spin-orbit coupling 7 propose the utilization of non-collinear spin structures, [7][8][9] in particular Skyrmions [10][11][12][13] or Skyrmion-like spin-structures 14 coupled to conventional s-wave superconductors.…”

Section: Introductionmentioning

confidence: 99%

Correlation of Magnetism and Disordered Shiba Bands in Fe Monolayer Islands on Nb(110)

Goedecke¹,

Schneider²,

Ma³

et al. 2022

Preprint

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Two-dimensional (2D) magnet-superconductor hybrid systems are intensively studied due to their potential for the realization of 2D topological superconductors with Majorana edge modes. It is theoretically predicted that this quantum state is ubiquitous in spin-orbit coupled ferromagnetic or skyrmionic 2D spin-lattices in proximity to an s-wave superconductor. However, recent examples suggest that the requirements for topological superconductivity are complicated by the multi-orbital nature of the magnetic components and disorder effects. Here, we investigate Fe monolayer islands grown on a surface of the s-wave superconductor with the largest gap of all elemental superconductors, Nb, with respect to magnetism and superconductivity using spin-resolved

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“…The similar modes with zero excitation energies propagate along the edges in 2D and quasi-2D topological superconductors, thus preventing their use in braiding. On the other hand, well separated Majorana modes in 2D topological superconductors can be localized on inhomogeneities or topological defects, such as Abrikosov vortices [6,7], magnetic skyrmions [8,9], corners in higher-order topological superconductors [9][10][11], and so on.…”

Section: Introductionmentioning

confidence: 99%

“…It is known that a helical long-range magnetic ordering in superconducting structures with the spin-singlet component of pairing can also lead to topological superconductivity and, consequently, to the formation of Majorana modes. Among such structures are spin chains on the surface of a superconductor [30,31] and 2D magnetic superconductors [9,[32][33][34][35][36]. Helical magnetsuperconductor heterostructures were realized experimentally, specifically, a chain of Fe atoms with 120-degree ordering on a superconducting Re substrate [37], as well as a Fe or Mn monolayer on the Re surface [38,39].…”

Section: Introductionmentioning

confidence: 99%

Majorana vortex modes in spin-singlet chiral superconductors with noncollinear spin ordering: Local density of states study

Zlotnikov¹

2022

Preprint

Self Cite

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In the present study topologically nontrivial edge and vortex bound states are described in the coexistence phase of chiral spin-singlet superconductivity and noncollinear spin ordering on a triangular lattice. Since chiral superconductivity is nodeless in a wide range of parameters, the obtained bound states are separated from trivial bulk states. It is proved that Majorana modes localized at vortex cores are caused by noncollinear long-range magnetic ordering. Even though nearby excitation energies of subgap states including the edge-localized and vortex-localized states are very close to each other, the energy difference between different vortex bound states is an order of magnitude higher. It opens the way to experimentally detect the zero energy Majorana modes localized at vortex cores in the considered structures by using methods measuring local density of states such as tunneling experiments. For a few pairs of vortices, vortex bound states with near zero energy can appear. Nevertheless, they are localized on different vortices in comparison with the localization of Majorana vortex modes. In this case zero modes are still separated in energy and space from other states in local density of states results. The difference between density of states near the vortex and near the antivortex hosting Majorana modes is also demonstrated.

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Aspects of Topological Superconductivity in 2D Systems: Noncollinear Magnetism, Skyrmions, and Higher-order Topology

Cited by 28 publications

References 224 publications

Repulsion of a Néel-Type Skyrmion from a Pearl Vortex in Thin Ferromagnet–Superconductor Heterostructures

Repulsion of a Néel-Type Skyrmion from a Pearl Vortex in Thin Ferromagnet–Superconductor Heterostructures

Correlation of Magnetism and Disordered Shiba Bands in Fe Monolayer Islands on Nb(110)

Majorana vortex modes in spin-singlet chiral superconductors with noncollinear spin ordering: Local density of states study

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