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- W1966032004 abstract "In the presence of anisotropic interactions the spin-wave dispersion parameter $mathcal{D}(T)$ acquires an $a{T}^{frac{3}{2}}$ dependence in addition to the $b{T}^{frac{5}{2}}$ dependence due to isotropic exchange. We have used Van Vleck's anisotropic exchange, and the largest effect consistent with the magnetocrystalline anisotropy of a cubic ferromagnet is found to come from the pseudodipolar coupling. While the anisotropy appears only in the second order of perturbation theory, there is a first-order contribution to $mathcal{D}(T)$ which varies as the third power of the magnetization, itself a function of temperature. Thus $aensuremath{approx}C{(frac{gensuremath{beta}{{H}_{A}}^{D}}{{k}_{B}{T}_{c}})}^{frac{1}{2}}$, where $C$ is the coefficient in the Bloch law, ${{H}_{A}}^{D}$ is the pseudodipolar contribution to the anisotropy field, and ${T}_{c}$ is the Curie temperature. The coefficient $a$ depends upon the direction of spin-wave propagation and averages to zero over a sphere. In a first approximation, then, there is no ${T}^{3}$ term in the magnetization. In an experiment dealing with selected propagation directions, such as spin-wave resonance or inelastic neutron scattering, since $bensuremath{approx}frac{C}{{T}_{c}}$, an effect important when $frac{T}{{T}_{c}}ensuremath{lesssim}{(frac{gensuremath{beta}{{H}_{A}}^{D}}{{k}_{B}{T}_{c}})}^{frac{1}{2}}$ is predicted." @default.
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- W1966032004 date "1964-11-16" @default.
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- W1966032004 title "Spin-Wave Interactions in an Anisotropic Ferromagnet" @default.
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- W1966032004 doi "https://doi.org/10.1103/physrev.136.a1131" @default.
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