Magnetic domains in thin ferromagnetic films with strong perpendicular anisotropy

Abstract

We investigate the scaling of the ground state energy and optimal domain patterns in thin ferromagnetic films with strong uniaxial anisotropy and the easy axis perpendicular to the film plane. Starting from the full three-dimensional micromagnetic model, we identify the critical scaling where the transition from single domain to multidomain ground states such as bubble or maze patterns occurs. Furthermore, we analyze the asymptotic behavior of the energy in two regimes separated by a transition. In the single domain regime, the energy $\Gamma$-converges towards a much simpler two-dimensional and local model. In the second regime, we derive the scaling of the minimal energy and deduce a scaling law for the typical domain size.

References in corpus (13)

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• Skyrmion confinement in ultrathin film nanostructures in the presence of Dzyaloshinskii-Moriya interaction
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• The 2014 Magnetism Roadmap
• The skyrmion switch: turning magnetic skyrmion bubbles on and off with an electric field
• Stability of periodic domain structures in a two-dimensional dipolar model
• Domain structure in CoFeB thin films with perpendicular magnetic anisotropy
• (Ir-)Reversibility and thermal equilibrium in magnetic domain pattern formation in ultra-thin ferromagnetic films
• Domain structure of ultrathin ferromagnetic elements in the presence of Dzyaloshinskii-Moriya interaction
• Domain structure of bulk ferromagnetic crystals in applied fields near saturation
• One-dimensional Neel walls under applied external fields
• Domain formation in membranes near the onset of instability

Cited by in corpus (13)

• Unraveling the role of dipolar versus Dzyaloshinskii-Moriya interaction in stabilizing compact magnetic skyrmions
• Domain structure of ultrathin ferromagnetic elements in the presence of Dzyaloshinskii-Moriya interaction
• A quantitative description of skyrmions in ultrathin ferromagnetic films and rigidity of degree $\pm 1$ harmonic maps from ${\mathbb{R}}^2$ to ${\mathbb{S}}^2$
• A nonlocal isoperimetric problem with dipolar repulsion
• Reduced energies for thin ferromagnetic films with perpendicular anisotropy
• Theory of magnetic field-stabilized compact skyrmions in thin film ferromagnets
• A universal thin film model for Ginzburg-Landau energy with dipolar interaction
• Second order expansion for the nonlocal perimeter functional
• Asymptotically exact formulas for the stripe domains period in ultrathin ferromagnetic films with out-of-plane anisotropy
• $\Gamma$-limit for two-dimensional charged magnetic zigzag domain walls
• Transverse domain walls in thin ferromagnetic strips
• Magnetoelectricity of Topological Solitons in 2D Magnets
• Skyrmion stacking in stray field-coupled ultrathin ferromagnetic multilayers