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Critical behavior of Griffiths ferromagnets
Pak Yuen Chan1, Nigel Goldenfeld, Myron Salamon
1Department of Physics, University of Illinois at Urbana-Champaign, Loomis Laboratory of Physics, 1110 W. Green St., Urbana, Illinois 61801-3080, USA.
Physical Review Letters
|October 10, 2006
Summary
This study reveals new scaling relations for Griffiths ferromagnets by analyzing Yang-Lee zeroes. Experimental data for La(0.7)Ca(0.3)MnO(3) confirms these predictions, identifying it as a Griffiths ferromagnet.
Area of Science:
- Condensed Matter Physics
- Statistical Mechanics
Background:
- The ferromagnetic-Griffiths transition is a complex phenomenon in magnetic materials.
- Understanding the behavior of Yang-Lee zeroes provides insights into critical phenomena.
Purpose of the Study:
- To derive new scaling relations near the ferromagnetic-Griffiths transition.
- To experimentally validate these predictions using La(0.7)Ca(0.3)MnO(3).
Main Methods:
- Heuristic calculation of the leading order essential singularity in Yang-Lee zeroes distribution.
- Analysis of experimental data for magnetization and heat capacity.
Main Results:
- New scaling relations near the ferromagnetic-Griffiths transition were obtained.
- A discontinuity on the critical isotherm analogue was predicted.
- Experimental data for La(0.7)Ca(0.3)MnO(3) showed consistency with predictions.
Conclusions:
- The findings support the identification of La(0.7)Ca(0.3)MnO(3) as a Griffiths ferromagnet.
- The study validates the utility of Yang-Lee zeroes analysis in understanding complex magnetic transitions.
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