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- W1968365452 abstract "The energies and eigenvectors for long-wavelength acoustic spin waves in yttrium iron garnet are calculated neglecting spin-wave interactions, but including the effects of anisotropy and dipolar interactions. The sublattice magnetization is found to be $S_{ensuremath{alpha}}^{}{}_{}{}^{z}(T)=Sensuremath{-}{ensuremath{delta}}_{ensuremath{alpha}}ensuremath{-}cTensuremath{-}{A}_{ensuremath{alpha}}{T}^{frac{3}{2}}ensuremath{-}{B}_{ensuremath{alpha}}{T}^{frac{5}{2}}ensuremath{-}{C}_{ensuremath{alpha}}{T}^{frac{7}{2}}ensuremath{cdots}$. Here $ensuremath{alpha}$ labels the sublattice $a$ or $d$, ${ensuremath{delta}}_{ensuremath{alpha}}$ expresses the effect of zero-point motion, and $mathrm{cT}$ is the Holstein-Primakoff correction for dipolar interactions. Expressions in terms of the exchange integrals ${J}_{mathrm{aa}}$, ${J}_{mathrm{dd}}$, ${J}_{mathrm{ad}}$, and $J_{mathrm{ad}}^{}{}_{}{}^{ensuremath{'}}$, where $J_{mathrm{ad}}^{}{}_{}{}^{ensuremath{'}}$ describes interactions between next-nearest-neighbor $a$ and $d$ sites, are given for ${A}_{ensuremath{alpha}}$, ${B}_{ensuremath{alpha}}$, and, when $J_{mathrm{ad}}^{}{}_{}{}^{ensuremath{'}}=0$, for ${C}_{ensuremath{alpha}}$. The spin-wave spectrum of some substituted garnets and the effect of spin-wave interactions on the zero-point disordering are treated in appendices." @default.
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- W1968365452 date "1967-03-10" @default.
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- W1968365452 title "Sublattice Magnetization of Yttrium Iron Garnet at Low Temperatures" @default.
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- W1968365452 doi "https://doi.org/10.1103/physrev.155.499" @default.
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