Micromagnetic Properties of Thin Ferromagnetic Films

Summary

Thin ferromagnetic films exhibit a rich tapestry of magnetic phenomena arising from the interplay of exchange interactions, magnetic anisotropy, Dzyaloshinskii–Moriya interactions and demagnetising fields. As thickness approaches the nanometre scale, the competition among these energy terms gives rise to complex domain patterns, domain walls and topological solitons such as skyrmions. Continuum micromagnetic theory, often cast as a variational problem for the magnetisation vector subject to unit-length constraints, underpins our understanding of equilibrium textures. Dimension-reduction techniques yield two-dimensional models in which effective anisotropy and stray-field energies depend sensitively on film geometry and surface roughness. Advances in analytical methods, numerical simulation and asymptotic analysis have elucidated mechanisms of perpendicular magnetic anisotropy, the formation and stability of 180° and 360° Néel walls, and the nucleation and confinement of skyrmions. These textures underpin emerging applications in high-density data storage, spin-transfer devices and energy-efficient logic, where control of wall motion and skyrmion dynamics is critical. The global significance of this research spans from fundamental studies of non-collinear magnetisation to the design of tailored multilayer structures for neuromorphic computing and ultra-fast signal processing.

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Micromagnetic Properties of Thin Ferromagnetic Films publication trend

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Technical terms

Micromagnetics: A continuum theory describing the spatial distribution of magnetisation in ferromagnets by minimising an energy functional comprising exchange, anisotropy, magnetostatic and external‐field terms.

Dzyaloshinskii–Moriya interaction: A chiral exchange interaction arising in systems with strong spin–orbit coupling and broken inversion symmetry, stabilising non‐collinear textures such as skyrmions.

Magnetic anisotropy: The directional dependence of a material’s internal energy, often favouring magnetisation aligned either in the film plane or perpendicular to it.

Magnetic skyrmion: A stable, particle‐like spin texture with non-trivial topology, characterised by a whirling magnetisation pattern protected against continuous deformation.

Domain wall: A narrow transition region separating magnetic domains of different orientation, whose structure (Néel or Bloch) and width are determined by the competition between exchange and anisotropy energies.

References

  1. Reduced Models for Ferromagnetic Thin Films with Periodic Surface Roughness. Journal of Nonlinear Science (2017).
  2. Exploring approximate analytical expression for magnetic skyrmion structure based on symbolic regression method. Acta Physica Sinica (2024).
  3. Magnetic Skyrmions Under Confinement. Communications in Mathematical Physics (2023).
  4. Transverse Domain Walls in Thin Ferromagnetic Strips. Archive for Rational Mechanics and Analysis (2023).
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