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Reduced Models for Ferromagnetic Thin Films with Periodic Surface Roughness.

M Morini1, V Slastikov2

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Periodic surface roughness in thin ferromagnetic films influences magnetic properties. This study reveals how roughness affects perpendicular magnetic anisotropy and magnetization direction.

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Area of Science:

  • Physics
  • Materials Science
  • Magnetism

Background:

  • Thin ferromagnetic films exhibit shape anisotropy, crucial for magnetic device applications.
  • Surface roughness can significantly alter magnetic behavior, but its precise influence is complex.
  • Understanding anisotropy is key to controlling magnetization in nanoscale magnetic systems.

Purpose of the Study:

  • To investigate the impact of periodic surface roughness on thin ferromagnetic films.
  • To analyze the effects on shape anisotropy and magnetization behavior.
  • To elucidate the formation mechanisms of perpendicular magnetic anisotropy and arbitrary uniaxial anisotropy.

Main Methods:

  • Utilized full micromagnetic energy principles.
  • Applied methods of homogenization and $\Gamma$-convergence.
  • Derived a two-dimensional local reduced model for analysis.

Main Results:

  • The derived model provides insights into anisotropy formation.
  • Demonstrated the influence of periodic surface roughness on magnetic anisotropy.
  • Explained the mechanism behind perpendicular magnetic anisotropy.

Conclusions:

  • Periodic surface roughness is a critical factor in determining magnetic anisotropy in thin films.
  • The developed reduced model offers a framework for understanding magnetization behavior.
  • This research contributes to the design of novel magnetic materials and devices.