Influence of magnetic surface anisotropy on the dynamic properties in ferromagnetic thin films

Abstract

A Green’s function technique is applied for the Heisenberg model to study the influence of the magnetic surface single-ion anisotropy on the spin wave spectrum including damping effects in ferromagnetic thin films. It is shown that the magnetic surface anisotropy strongly affects the thickness dependence of different quantities: for strong surface anisotropy, the magnetization, the spin-wave energy and the phase transition temperature TC are larger in thin films than in the bulk, whereas the opposite is true for small surface anisotropy. The magnetic surface anisotropy enhances the spin-wave damping. There is some competition between the surface single-ion anisotropy and the surface exchange interaction. The effect of an external magnetic field is discussed, too.

Theoretical investigations of magnetic properties of ferromagnetic single‐layered nanobelts

“…We here present a few words more to discuss the strength of the anisotropy. For thin films, the surface anisotropy strongly affects the thickness dependence of the magnetization in magnetic nanostructures 33–35. The results of Ref.…”

Low Temperature Properties of Inhomogeneous Magnetic Multilayers

“…The method applied above can be modied [6] by introducing damping eects due to magnonmagnon interaction [14] calculated on the basis of relaxation equation [15] including the damping term derived on the basis of results of Wesselinowa [16]. As a result a continuous distribution of resonance intensity in ferromagnetic resonance (FMR) has been calculated giving resonance spectra with non-zero line-width.…”

Spin Wave Characteristics of Inhomogeneous Ferromagnetic Layered Composites

“…Formalism based on the Green function method presented above has been extended by introducing damping effects due to magnon-magnon interaction [13]. The spin wave characteristics can be then calculated employing the relaxation equation [14] including the damping term derived on the basis of results of Wesselinowa [15,16]. As a result the distribution of resonance intensity in ferromagnetic resonance (FMR) has been obtained giving resonance spectra with the shape depending on the filling fraction and interaction parameters with non-zero linewidth of resonance lines.…”