Topological constraints on positions of magnetic solitons in multiply-connected planar magnetic nano-elements

Here we consider an interplay between the topology of the magnetization texture (which is a topological soliton, or Skyrmion) in a planar magnetic nano-element and the topology of the element itself (its connectivity). We establish the existence of a set of constraints, coupling these topologies, wh...

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Bibliographic Details
Published in:arXiv.org 2016-09
Main Authors: Bogatyrëv, Andrei B, Metlov, Konstantin L
Format: Article
Language:English
Subjects:
Angular position
Domain walls
Hypothetical particles
Magnetic domains
Particle theory
Solitary waves
Topology
Online Access:Get full text
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Summary:Here we consider an interplay between the topology of the magnetization texture (which is a topological soliton, or Skyrmion) in a planar magnetic nano-element and the topology of the element itself (its connectivity). We establish the existence of a set of constraints, coupling these topologies, which are specific for multiply connected elements and are absent in simply-connected case. As an example, a specific constraint is derived for a case of planar ring magnet, relating the angular positions of magnetic vortices and antivortices inside. We analyze the recent experimental data on the vortex magnetic domain walls in the ring to validate our findings.
ISSN:2331-8422
DOI:10.48550/arxiv.1609.02509