Topological strength of magnetic skyrmions

Abstract

We deal with magnetic structures that attain integer and half-integer skyrmion numbers. We model and solve the problem analytically, and show how the solutions appear in materials that engender distinct, very specific physical properties, and use them to describe their topological features. In particular, we found a way to model skyrmion with a large transition region correlated with the presence of a two-peak skyrmion number density. Moreover, we run into the issue concerning the topological strength of a vortex-like structure and suggest an experimental realization, important to decide how to modify and measure the topological strength of the magnetic structure.

10 pages; 15 figures; published version

References in corpus (13)

• Spontaneous Skyrmion Ground States in Magnetic Metals
• Blowing Magnetic Skyrmion Bubbles
• Magnetic skyrmion logic gates: conversion, duplication and merging of skyrmions
• Field-Dependent Size and Shape of Single Magnetic Skyrmions
• A reversible conversion between a skyrmion and a domain-wall pair in junction geometry
• Theory of the helical spin crystal: a candidate for the partially ordered state of MnSi
• Compact Skyrmions, Merons and Bimerons in Thin Chiral Magnetic Films
• Giant Skyrmions Stabilized by Dipole-Dipole Interactions in Thin Ferromagnetic Films
• The quantum origins of skyrmions and half-skyrmions in Cu2OSeO3
• Magnetic domain walls in constrained geometries
• High-topological-number magnetic skyrmions and topologically protected dissipative structure
• Weak localization and conductance fluctuations in a quantum dot with parallel magnetic field and spin-orbit scattering
• Topological Excitations in Magnetic Materials

Cited by in corpus (15)

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• Configurational Entropy for Skyrmion-like Magnetic Structures
• BPS soliton-impurity models and supersymmetry
• Configurational entropy of skyrmions and half-skyrmions in planar magnetic elements
• Maxwell-Higgs vortices with internal structure
• Dirac field in the background of a planar defect
• Compact Vortices
• Magnetic Skyrmion Transport in a Nanotrack With Spatially Varying Damping and Non-adiabatic Torque
• BPS solitons with internal structure in the gauged $O(3)$ sigma model
• First-order solitons with internal structures in an extended Maxwell-$CP(2)$ model
• Semi-Compact Skyrmion-like Structures
• Stable finite energy global vortices and asymptotic freedom
• Geometrically Constrained Localized Configurations: First-Order Framework and Analytical Solutions
• Localized structures in three-field models: geometrically constrained configurations and the first-order framework
• Self-dual compact gauged baby skyrmions in a continuous medium