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• W2006702372 abstract "The spin-disorder resistivities and the magnetic phase transitions in gadolinium-dysprosium (Gd-Dy) alloys have been investigated experimentally, and the corresponding effects of pressure have been determined. The experiments involved measuring the change in the anomalies in the resistance of samples as a function of temperature and pressure. The resistivities of the metals provide evidence of magnetic transitions, through changes of slope in the resistivity-temperature curves at the critical temperatures. Therefore, the spin-disorder resistivities and the magnetic transitions both under atmospheric and hydrostatic pressures can be obtained from the resistance-temperature curves. The spin-disorder resistivity ${ensuremath{rho}}_{mathrm{mag}}$ of these alloys is proportional to $frac{3ensuremath{pi}mathrm{Nm}}{(2ensuremath{hbar}{e}^{2}{E}_{F}){V}^{2}{(gensuremath{-}1)}^{2}J(J+1)}$, where $g$ is the Lande $g$ factor, $J$ is the total angular momentum quantum number, $V$ is an intra-atomic exchange integral, and ${E}_{F}$ is the Fermi energy. The quantity ${ensuremath{rho}}_{mathrm{mag}}$ was experimentally observed to increase with the increasing Gd composition and pressure. In the Rudermann-Kittel theory, the Curie temperature ${T}_{C}$ of these alloys is proportional to the quantity $frac{{(gensuremath{-}1)}^{2}J(J+1){V}^{2}}{({E}_{F})ensuremath{Sigma}{R}^{}ensuremath{Phi}(2{k}_{F}R)}$, where $ensuremath{Phi}(2{k}_{F}R)=frac{(2{k}_{F}Rcos2{k}_{F}Rensuremath{-}sin2{k}_{F}R)}{{(2{k}_{F}R)}^{4}}$. The quantity ($frac{{T}_{C}}{{ensuremath{rho}}_{mathrm{mag}}}$) was experimentally observed to increase and then decrease as a function of composition with the peak value near 60 at.% Gd-40 at.% Dy, thus indicating that the quantity $ensuremath{Sigma}{R}^{}ensuremath{Phi}(2{k}_{F}R)$, which is proportional to ($frac{{T}_{C}}{{ensuremath{rho}}_{mathrm{mag}}}$), passes through a similar maximum. With the application of pressure ${T}_{C}$ for Gd-rich alloys decreased, whereas ${T}_{C}$ for the Dy-rich alloys appeared to increase first, and then to decrease. The variations of ${T}_{C}$ with pressure are explained by the relationship between $ensuremath{Sigma}{R}^{}ensuremath{Phi}$ and the $frac{c}{a}$ ratio of the crystal. It is thus concluded (tentatively) that the quantity $ensuremath{Sigma}{R}^{}ensuremath{Phi}$ passes through a peak value as a function of both pressure and composition." @default.
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• W2006702372 date "1969-09-10" @default.
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• W2006702372 title "Magnetic Resistivity and Magnetic Transitions in Rare-Earth Alloys" @default.
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• W2006702372 doi "https://doi.org/10.1103/physrev.185.743" @default.
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