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• W2000373210 abstract "The specific heats of single crystals of the vanadium Magn'eli phases ${mathrm{V}}_{n}{mathrm{O}}_{2nensuremath{-}1}$ have been measured between 0.4 and 50 K. At temperatures below 1 K, the specific heats of these phases are dominated by a nuclear contribution which allows the determination of the number of single and paired ${mathrm{V}}^{3+}$ and ${mathrm{V}}^{4+}$ ions. All the measured Magn'eli phases, except ${mathrm{V}}_{3}$${mathrm{O}}_{5}$ and ${mathrm{V}}_{9}$${mathrm{O}}_{17}$, show a $ensuremath{lambda}$-type transition at their N'eel temperatures ${T}_{N}$, in this temperature range. Both the $ensuremath{lambda}$-type transition and a ${T}^{3}$ dependence of the specific heat below $(frac{1}{2}){T}_{N}$ are characteristics of a three-dimensional antiferromagnetic transition. The entropy at $ensuremath{approx}{T}_{N}$ for all these phases is less than 20% of the magnetic entropy $Rmathrm{ln}(2S+1)$, the entropy change for a regular antiferromagnetic transition. Above ${T}_{N}$ the specific heats are larger than the expected lattice contribution. The relation $C=A{T}^{n}+ensuremath{alpha}{T}^{3}$, where $A$ and $ensuremath{alpha}$ are adjustable parameters, was tried to fit our data for $n=ensuremath{-}2,frac{1}{2}, 1, frac{3}{2}, mathrm{and} 2$. This representation fits the data reasonably well only for $n=frac{1}{2} mathrm{and} 1$. The term with $n=frac{1}{2}$ would correspond to a ferromagnetic interaction along a linear chain, while that with $n=1$ indicates an antiferromagnetic interaction, which is more likely. The existence of the excess specific heat, together with the smallness of the magnetic entropy at ${T}_{N}$, argues strongly that further magnetic disordering takes place above ${T}_{N}$. To explain this excess specific heat, a model of independent linear antiferromagnetic chains can be postulated. This model explains the specific-heat results, but is encountered with difficulties in explaining the behavior of the susceptibility for these phases. Therefore no adequate model is available to explain the thermal results of these vanadium Magn'eli phases." @default.
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• W2000373210 title "Specific heats of the vanadium Magnéli phases<mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML display=inline><mml:mrow><mml:msub><mml:mrow><mml:mi mathvariant=normal>V</mml:mi></mml:mrow><mml:mrow><mml:mi>n</mml:mi></mml:mrow></mml:msub></mml:mrow><mml:mrow><mml:msub><mml:mrow><mml:mi mathvariant=normal>O</mml:mi></mml:mrow><mml:mrow><mml:mn>2</mml:mn><mml:mi>n</mml:mi><mml:mo>−</mml:mo><mml:mn>1</mml:mn></mml:mrow></mml:msub></mml:mrow></mml:math>between 0.4 and 50 K" @default.
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• W2000373210 doi "https://doi.org/10.1103/physrevb.18.6181" @default.
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