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Critical behavior of Griffiths ferromagnets

Pak Yuen Chan·Nigel Goldenfeld·Myron Salamon
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Abstract

From a heuristic calculation of the leading order essential singularity in the distribution of Yang-Lee zeroes, we obtain new scaling relations near the ferromagnetic-Griffiths transition, including the prediction of a discontinuity on the analogue of the critical isotherm. We show that experimental data for the magnetization and heat capacity of $\mathrm{La_{0.7}Ca_{0.3}MnO_3}$ are consistent with these predictions, thus supporting its identification as a Griffiths ferromagnet.

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Pak Yuen Chan, Nigel Goldenfeld, Myron Salamon. 2006-07-28. Critical behavior of Griffiths ferromagnets. https://doi.org/10.1103/physrevlett.97.137201

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