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# Arrott plot

About: Arrott plot is a research topic. Over the lifetime, 434 publications have been published within this topic receiving 15135 citations.

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TL;DR: An extremely large magnetic entropy change has been discovered in magnetic materials when subjected to a change in the magnetic field as mentioned in this paper, which exceeds the reversible magnetocaloric effect in any known magnetic material by at least a factor of 2.

Abstract: An extremely large magnetic entropy change has been discovered in $\mathrm{Gd}{}_{5}(\mathrm{Si}{}_{2}\mathrm{Ge}{}_{2})$ when subjected to a change in the magnetic field. It exceeds the reversible (with respect to an alternating magnetic field) magnetocaloric effect in any known magnetic material by at least a factor of 2, and it is due to a first order $[\mathrm{ferromagnetic}(\mathrm{I})\ensuremath{\leftrightarrow}\mathrm{ferromagnetic}(\mathrm{II})]$ phase transition at 276 K and its unique magnetic field dependence.

3,561 citations

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Bell Labs

^{1}TL;DR: It is proposed that in addition to double-exchange physics a strong electron-phonon interaction arising from the Jahn-Teller splitting of the outer Mn $d$ level plays a crucial role.

Abstract: The ${\mathrm{La}}_{1\ensuremath{-}x}{\mathrm{Sr}}_{x}{\mathrm{MnO}}_{3}$ system with $02\ensuremath{\lesssim}x\ensuremath{\lesssim}04$ has traditionally been modeled with a ``double-exchange'' Hamiltonian in which it is assumed that the only relevant physics is the tendency of carrier hopping to line up neighboring spins We present a solution of the double-exchange model, show it is incompatible with many aspects of the data, and propose that in addition to double-exchange physics a strong electron-phonon interaction arising from the Jahn-Teller splitting of the outer Mn $d$ level plays a crucial role

2,302 citations

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TL;DR: In this article, a criterion for determining the onset of ferromagnetism in a material as its temperature is lowered from a region in which the linearity of its magnetic moment versus field isotherm gives an indication of paramagnetisms.

Abstract: A criterion is proposed for determining the onset of ferromagnetism in a material as its temperature is lowered from a region in which the linearity of its magnetic moment versus field isotherm gives an indication of paramagnetism. Within the limits of validity of a molecular field treatment, the Curie temperature is shown to be in general indicated by the third power of the magnetization being proportional to the internal magnetic field. The method has been employed to redetermine the Curie point of nickel from the data of Weiss and Forrer, of ${\mathrm{Fe}}_{3}$${\mathrm{O}}_{4}$ from the data of Smith and of some alloys from the data of Kaufmann and his collaborators and the author.

1,068 citations

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TL;DR: In this article, the authors derived the temperature dependence of the initial susceptibility of nickel above the Curie point and the field dependence of its magnetization at the same point from the data of Weiss and Forrer and found that the results were at variance with the simple molecular field model.

Abstract: The temperature dependence of the initial susceptibility ${\ensuremath{\chi}}_{0}$ of nickel above the Curie point ${T}_{c}$ and the field dependence of its magnetization at ${T}_{c}$ are deduced from the data of Weiss and Forrer and found to be at variance with the simple molecular-field model. Instead, the experimental ${{\ensuremath{\chi}}_{0}}^{\ensuremath{-}1}$-versus-$T$ curve just above ${T}_{c}$ is shown to follow the simple relation ${{\ensuremath{\chi}}_{0}}^{\ensuremath{-}1}=A{(T\ensuremath{-}{T}_{c}]}^{\ensuremath{\gamma}}$, with $\ensuremath{\gamma}=1.35\ifmmode\pm\else\textpm\fi{}0.02$, in excellent agreement with the $\frac{4}{3}$-power relation recently predicted from the exact series for the Heisenberg model. From the coefficient $A$, it is deduced that ${\ensuremath{\mu}}_{0}$, the average atomic moment, is 0.642 ${\mathrm{\ensuremath{\mu}}}_{\mathrm{B}}$ and that the individual electron moments are in a state corresponding to $S=\frac{1}{2}$. At higher temperatures, the ${{\ensuremath{\chi}}_{0}}^{\ensuremath{-}1}$-versus-$T$ curve deviates from the Heisenberg-model predictions, possibly because of a gradual rise in ${\ensuremath{\mu}}_{0}$ with increasing temperature. Up to the highest field $H$ of measurement, the magnetization at ${T}_{c}$ is shown to vary as ${H}^{\ensuremath{\epsilon}}$ with $\ensuremath{\epsilon}=0.237$, which is consistent with the exponent values for an analogous empirical relationship between the density and pressure of several different gases at their critical points.

907 citations

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TL;DR: In this article, the critical exponents for a $d$-dimensional system with an isotropic $n$-component order parameter and long-range attractive interactions are derived, using the renormalization group approach.

Abstract: Critical exponents for a $d$-dimensional system with an isotropic $n$-component order parameter and long-range attractive interactions decaying as $\frac{1}{{r}^{d+\ensuremath{\sigma}}} (\ensuremath{\sigma}g0)$ are derived, using the renormalization group approach, as power series in $\ensuremath{\epsilon}=2\ensuremath{\sigma}\ensuremath{-}dg0$ ($\ensuremath{\sigma}\ensuremath{
e}2$, fixed) or $\ensuremath{\Delta}\ensuremath{\sigma}=\ensuremath{\sigma}\ensuremath{-}\frac{1}{2}dg0$ ($d$ fixed) and, separately, to order $\frac{1}{n}$ for all $d$ and $\ensuremath{\sigma}\ensuremath{
e}2$. For $\ensuremath{\epsilon}l0$ the exponents have fixed ("classical") values; when $\ensuremath{\epsilon}=\ensuremath{\Delta}\ensuremath{\sigma}=0$ fractional powers of $\mathrm{ln}(\frac{\ensuremath{\Delta}T}{{T}_{c}})$ appear; when $\ensuremath{\sigma}g2$ the exponents assume their short-range values.

878 citations