Spin transfer torque devices utilizing the giant spin Hall effect of tungsten Appl. Phys. Lett. 101, 122404 (2012) Magnetization dynamics and ferromagnetic resonance behavior of melt spun FeBSiGe amorphous alloys J. Appl. Phys. 112, 053923 (2012) Layering and temperature-dependent magnetization and anisotropy of naturally produced Ni/NiO multilayers J. Appl. Phys. 112, 053918 (2012) Interface induced inverse spin Hall effect in bismuth/permalloy bilayer Appl. Phys. Lett. 101, 042403 (2012) Ferromagnetic resonance and magnetooptic study of submicron epitaxial Fe(001) stripes Spin-wave resonance at 10 GHz has been observed in thin (;::: 5 /-Lm) garnet films of approximate composition Y2.8SLllolSFe3.7SGa1.2S012' The films were grown by LPE on [I Ill-oriented gadolinium gallium garnet substrates, both from a nonstirred melt (vertical mode of dipping) and a stirred melt (horizontal dipping, applying axial substrate rotation). The spectra exhibit large numbers of strongly excited modes with large deviations from quadratic spacing, which are interpreted in terms of a volume inhomogeneity of the uniaxial anisotropy constant Ku' Two models are used to explain the experimental spectra. In one model the film is considered as being built up of exchange coupled layers having different uniaxial anisotropy constants Ku' In the second model it is assumed that Ku varies linearly with the distance from the substrate, but with different slopes in different regions. No pinning is assumed at the surfaces. A simple graphical method is presented for determining the normal modes of films with these types of variations. It is shown that the normal modes can be separated into two types. The low-order modes are localized modes, which are wavelike in only part of the film. These are strongly excited and their spacing is nonquadratic. High-order modes are volume modes, which are sinusoidal throughout the films, though with varying wave vector. These are weakly excited. The low-order modes bear information on the variations of Ku within the thickness. The nature of these variations is determined experimentally by examining the changes of these modes when the films are thinned down by chemical etching. Examples are given of films which are homogeneous except for a narrow (;::: I /-Lm) region next to the substrate and of films whose anisotropy varies linearly throughout the major part of the thickness. The high-order modes are only slightly affected by the variations. From their positions, using the universal numbering scheme n = 0,1,2, ... for all the modes, the exchange stiffness constants have been determined.
25~=2 process is theoretically possible via the volume magnetostriction, as it has been shown by R. Silberglitt [Phys. Rev. 188, 786 (1969)] in the case of ferromagnets. However, such a process involves phonons with energy greater than that of k =0 spin waves; this is not the case considered here.28E. H. Jacobsen, Phys. Rev. Letters 2, 249 (1959).The magnetic anisotropy of single crystals of the ferromagnetic cubic spinel Cd& "Fe"Cr2S4 with z =0.005, 0.01, and 0.02 was studied by ferromagnetic resonance at 9 and 34 GHz. The anisotropy observed at 4.2 K can be explained on the basis of strongly anisotropic Fe ' ions on cubic tetrahedral sites. In the crystal field model used, the cubic E ground state is split by exchange and spin-orbit interactions. The model provides a good description of the temperature-dependent anisotropy at temperatures below 15 K, with "~200 cm ' and g =6(g /~+ p) =13 +1 cm
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