One-dimensional dynamics of domain walls in a three-layer ferromagnetic structure with different parameters of magnetic anisotropy and exchange of the layers

• Published in: Physics of metals and metallography Vol. 115; no. 2; pp. 117 - 123
• Main Authors: Ekomasov, E. G., Murtazin, R. R., Nazarov, V. N.
• Format: Journal Article
• Language: English
• Published: Moscow Pleiades Publishing 01.02.2014; Springer; Springer Nature B.V
• Subjects: Analysis; Anisotropy; Chemistry and Materials Science; Domain walls; Electrical and Magnetic Properties; Equations of motion; Ferromagnetism; Magnetic anisotropy; Magnetic fields; Materials Science; Mathematical analysis; Mathematical models; Metallic Materials; Nonlinear dynamics; domain wall dynamics; sine-Gordon equation; three-layer ferromagnet
• ISSN: 0031-918X; 1555-6190
• DOI: 10.1134/S0031918X14020069

The one-dimensional nonlinear dynamics of a domain wall under the effect of an external dc magnetic field in three-layer ferromagnets with different values of the parameters of magnetic anisotropy and exchange in the layers has been studied theoretically. Equations of motion for the coordinate of the center of a domain wall and for the velocity of its motion after passage from one layer into another has been found using perturbation-theory methods. It is shown that, in the case of small defects, the analytical results agree well with the numerical results. The minimum velocity required for a domain wall to pass from one layer into another has been found numerically as a function of the parameters of the material.