Dispersive Stiffness of Dzyaloshinskii Domain Walls

Abstract

It is well documented that subjecting perpendicular magnetic films which exhibit the interfacial Dzyaloshinskii-Moriya interaction (DMI) to an in-plane magnetic field results in a domain wall (DW) energy, $\sigma$, that is highly anisotropic with respect to the orientation of the DW in the film plane, $\Theta$. We demonstrate that this anisotropy has a profound impact on the elastic response of the DW as characterized by the surface stiffness, $\tilde{\sigma }(\Theta )=\sigma (\Theta )+\sigma "(\Theta )$, and evaluate its dependence on the length scale of deformation. The influence of the stiffness on DW mobility in the creep regime is assessed, with analytic and numerical calculations showing trends in $\tilde{\sigma }$ that better represent experimental measurements of domain wall velocity in magnetic thin films compared to $\sigma$ alone. Our treatment provides experimental support for theoretical models of the mobility of anisotropic elastic manifolds and makes progress toward a more complete understanding of magnetic domain wall creep.

References in corpus (4)

• Asymmetric magnetic bubble expansion under in-plane field in Pt/Co/Pt: effect of interface engineering
• Effect of interfacial intermixing on the Dzyaloshinskii-Moriya interaction in Pt/Co/Pt
• Probing the Dzyaloshinskii-Moriya interaction in CoFeB ultrathin films using domain wall creep and Brillouin light spectroscopy
• Energetic molding of chiral magnetic bubbles

Cited by in corpus (20)

• Current-induced spin-orbit torques in ferromagnetic and antiferromagnetic systems
• Electric-field-driven Non-volatile Multi-state Switching of Individual Skyrmions in a Multiferroic Heterostructure
• Pinning of Domain Walls in thin Ferromagnetic Films
• Domain Wall Motion and Interfacial Dzyaloshinskii-Moriya Interactions in Pt/Co/Ir$(t_{\mathrm{Ir}})$/Ta Multilayers
• Magnetic domain wall Skyrmions
• Velocity enhancement by synchronization of magnetic domain walls
• Magnetic domain wall creep and depinning: a scalar field model approach
• Disentangling factors governing Dzyaloshinskii domain wall creep in Co/Ni thin films using Pt${}_x$Ir${}_{1-x}$ seedlayers
• Quantitative agreement of Dzyaloshinskii-Moriya interactions for domain-wall motion and spin-wave propagation
• Making the Dzyaloshinskii-Moriya interaction visible
• Creep of Chiral Domain Walls
• Lorentz TEM investigation of chiral spin textures and Néel Skyrmions in asymmetric [Pt/(Co/Ni)${}_M$/Ir]${}_N$ multi-layer thin films
• Magnetic properties of Co/Ni-based multilayers with Pd and Pt insertion layers
• Strength and length-scale of the interaction between domain walls and pinning disorder in thin ferromagnetic films
• Key points in the determination of the interfacial Dzyaloshinskii-Moriya interaction from asymmetric bubble domain expansion
• Dynamic symmetry breaking in chiral magnetic systems
• Dynamics and morphology of chiral magnetic bubbles in perpendicularly magnetized ultra-thin films
• Chiral magnetic domain walls under transverse fields: a semi-analytical model
• Nonreciprocal flexural dynamics of Dzyaloshinskii domain walls
• Magnetic Nanohorns for measurement of the interfacial Dzyaloshinskii-Moriya interaction: A micromagnetic study