The static magnetization experimental behavior of cobalt (Co), Permalloy (Py), and nickel (Ni) nanocylinders is obtained from vibrating sample magnetometry while the dynamic behavior for the Co and Py ones is analyzed by means of Brillouin light scattering spectroscopy. Assuming the presence at remanence of two populations of cylinders with up and down magnetizations and including the dipolar coupling between the cylinders, a single analytical model based on a mean-field approach allowed us to satisfactorily analyze both series of experimental results. The model requires three physical parameters, allowing us to derive the in-plane saturation field, the eigenfrequency in the absence of applied field, and the eigenfrequency at the in-plane saturation field; these parameters enable us to adjust the whole variation of the eigenfrequency versus the applied field. Moreover, the effect of the magnetocrystalline anisotropy on the softening of the frequency in the nonsaturated state is clearly evidenced: it is more pronounced when the magnetocrystalline anisotropy is not vanishing and adds to the shape anisotropy (Co c-axis parallel to the cylinder axis); the softening being weak in the other cases (Co c-axis perpendicular to the cylinder axis or Permalloy).
Affiliations
Université Paris 13LSPM-CNRS
Institut Néel-CNRS (Grenoble)CNRS/UJF
Sultan Qaboos University (Sultanate of Oman)Department of Physics, College of Science
Chérif, S. M., Roussigné, Y., Stashkevich, A. A., Darques, M., Bouziane, K., & Piraux, L. (2011). Ferromagnetic nanocylinders electrodeposited into nanoporous alumina template: A magnetometry and Brillouin light scattering study. Journal of Applied Physics, 109(10), 103912. https://doi.org/10.1063/1.3587170 (Original work published 2011)