Topological Excitations in Magnetic Materials

Abstract

In this work we propose a new route to describe topological excitations in magnetic systems through a single real scalar field. We show here that spherically symmetric structures in two spatial dimensions, which map helical excitations in magnetic materials, admit this formulation and can be used to model skyrmion-like structures in magnetic materials.

arXiv comment9 pages, 5 figures; Version to appear in PLA

References in corpus (12)

• Skyrmion Lattice in a Chiral Magnet
• Spontaneous Skyrmion Ground States in Magnetic Metals
• Blowing Magnetic Skyrmion Bubbles
• Field-Dependent Size and Shape of Single Magnetic Skyrmions
• Magnetic structures and reorientation transitions in noncentrosymmetric uniaxial antiferromagnets
• Theory of the helical spin crystal: a candidate for the partially ordered state of MnSi
• New Global Defect Structures
• Blue Quantum Fog: Chiral Condensation in Quantum Helimagnets
• Exact static soliton solutions of 3+1 dimensional integrable theory with nonzero Hopf numbers
• Bags, junctions, and networks of BPS and non-BPS defects
• Theory of vortex states in magnetic nanodisks with induced Dzyaloshinskii-Moriya interactions
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Cited by in corpus (15)

• Configurational Entropy for Skyrmion-like Magnetic Structures
• BPS soliton-impurity models and supersymmetry
• Suppression of the skyrmion Hall effect in planar nanomagnets by the magnetic properties engineering: Skyrmion transport on nanotracks with magnetic strips
• Configurational entropy of skyrmions and half-skyrmions in planar magnetic elements
• Topological strength of magnetic skyrmions
• Maxwell-Higgs vortices with internal structure
• Dirac field in the background of a planar defect
• 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
• The linear Dirac spectrum and the Weyl states in the Drude-Sommerfeld topological model
• Geometrically Constrained Localized Configurations: First-Order Framework and Analytical Solutions
• On valley asymmetry in a topological interaction for quasi-particles
• Self-dual compact gauged baby skyrmions in a continuous medium