Domain structure of ultrathin ferromagnetic elements in the presence of Dzyaloshinskii-Moriya interaction

Abstract

Recent advances in nanofabrication make it possible to produce multilayer nanostructures composed of ultrathin film materials with thickness down to a few monolayers of atoms and lateral extent of several tens of nanometers. At these scales, ferromagnetic materials begin to exhibit unusual properties, such as perpendicular magnetocrystalline anisotropy and antisymmetric exchange, also referred to as Dzyaloshinskii-Moriya interaction (DMI), because of the increased importance of interfacial effects. The presence of surface DMI has been demonstrated to fundamentally alter the structure of domain walls. Here we use the micromagnetic modeling framework to analyse the existence and structure of chiral domain walls, viewed as minimizers of a suitable micromagnetic energy functional. We explicitly construct the minimizers in the one-dimensional setting, both for the interior and edge walls, for a broad range of parameters. We then use the methods of {$\Gamma$}-convergence to analyze the asymptotics of the two-dimensional mag- netization patterns in samples of large spatial extent in the presence of weak applied magnetic fields.

References in corpus (3)

• Magnetic skyrmion logic gates: conversion, duplication and merging of skyrmions
• Surface twist instabilities and skyrmion states in chiral ferromagnets
• Magnetic domains in thin ferromagnetic films with strong perpendicular anisotropy

Cited by in corpus (18)

• Skyrmion Gas Manipulation for Probabilistic Computing
• Magnetic skyrmions, chiral kinks and holomorphic functions
• Unraveling the role of dipolar versus Dzyaloshinskii-Moriya interaction in stabilizing compact magnetic skyrmions
• Theory of Dzyaloshinskii domain wall tilt in ferromagnetic nanostrips
• A quantitative description of skyrmions in ultrathin ferromagnetic films and rigidity of degree $\pm 1$ harmonic maps from ${\mathbb{R}}^2$ to ${\mathbb{S}}^2$
• Convergent tangent plane integrators for the simulation of chiral magnetic skyrmion dynamics
• Magnetic domains in thin ferromagnetic films with strong perpendicular anisotropy
• A micromagnetic theory of skyrmion lifetime in ultrathin ferromagnetic films
• Walker solution for Dzyaloshinskii domain wall in ultrathin ferromagnetic films
• Tailed skyrmions -- an obscure branch of magnetic solitons
• Theory of magnetic field-stabilized compact skyrmions in thin film ferromagnets
• Lattice solutions in a Ginzburg-Landau model for a chiral magnet
• Asymptotically exact formulas for the stripe domains period in ultrathin ferromagnetic films with out-of-plane anisotropy
• One-dimensional in-plane edge domain walls in ultrathin ferromagnetic films
• Traveling domain walls in chiral ferromagnets
• Reduced theory of symmetric and antisymmetric exchange interactions in nanowires
• Transverse domain walls in thin ferromagnetic strips
• Skyrmion stacking in stray field-coupled ultrathin ferromagnetic multilayers