Critical behavior of Griffiths ferromagnets

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 $\mathrm{L}{\mathrm{a}}_{0.7}\mathrm{C}{\mathrm{a}}_{0.3}\mathrm{Mn}{\mathrm{O}}_3$ are consistent with these predictions, thus supporting its identification as a Griffiths ferromagnet.

4 pages, 3 figures, Changed content

References in corpus (7)

• Colossal Magnetoresistance is a Griffiths Singularity
• Observation of a Griffiths phase in paramagnetic La1-xSrxMnO3
• Griffiths singularities and magnetoresistive manganites
• Density of Zeros on the Lee-Yang circle obtained from magnetization data of a two-dimensional Ising ferromagnet
• Griffith Singularities and the Replica Instantons in the Random Ferromagnet
• Griffiths singularities in the two dimensional diluted Ising model
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• Griffiths singularities and algebraic order in the exact solution of an Ising model on a fractal modular network
• Effects of correlated disorder on the magnetism of double exchange systems
• Raman scattering studies of temperature- and field-induced melting of charge order in (La,Pr,Ca)MnO${}_3$
• Dynamical replica analysis of processes on finitely connected random graphs II: Dynamics in the Griffiths phase of the diluted Ising ferromagnet
• Evidence of ferromagnetic short-range correlations in cubic La1-xSrxMnO3-δ (x=0.80, 0.85) above antiferromagnetic ordering
• Selective substitution in orbital domains of a low doped manganite : an investigation from Griffiths phenomenon and modification of glassy features
• Distribution of partition function zeros of the $\pm J$ model on the Bethe lattice
• Static and dynamic structure factors in three-dimensional randomly diluted Ising models