Calculus of Variations and Geometric Measure Theory

M. Morini - V. Slastikov

Reduced models for ferromagnetic thin films with periodic surface roughness

created by morini on 04 May 2017
modified on 13 Sep 2017


Accepted Paper

Inserted: 4 may 2017
Last Updated: 13 sep 2017

Journal: J. Nonlinear Science
Year: 2017


We investigate the influence of periodic surface roughness in thin ferromagnetic films on shape anisotropy and magnetization behavior inside the ferromagnet. Starting from the full micromagnetic energy and using methods of homogenization and Γ-convergence we derive a two dimensional local reduced model. Investigation of this model provides an insight on the formation mechanism of perpendicular magnetic anisotropy and uniaxial anisotropy with an arbitrary preferred direction of magnetization.