Griffiths phase in diluted magnetic semiconductors

Abstract

We study the effects of disorder in the vicinity of the ferromagnetic transition in a diluted magnetic semiconductor in the strongly localized regime. We derive an effective polaron Hamiltonian, which leads to the Griffiths phase above the ferromagnetic transition point. The Griffiths-McCoy effects yield non-perturbative contributions to the dynamic susceptibility. We explicitly derive the long-time susceptibility, which has a pseudo-scaling form, with the dynamic critical exponent being expressed through the percolation indices.

4 pages, final version as published

References in corpus (5)

• Polaron percolation in diluted magnetic semiconductors
• Temperature-dependent magnetization in diluted magnetic semiconductors
• Griffiths effects and quantum critical points in dirty superconductors without spin-rotation invariance: One-dimensional examples
• Higher dimensional realizations of activated dynamic scaling at random quantum transitions
• Magnetic fluctuations in 2D metals close to the Stoner instability

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• Phase diagram and critical behavior of the random ferromagnet $G{a}_{1-x}M{n}_{x}N$
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• Magnetic and thermodynamic properties of cobalt doped iron pyrite: Griffiths Phase in a magnetic semiconductor
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• Optical Resonance Shift Spin Noise Spectroscopy
• Criticality and Griffiths phases in random games with quenched disorder
• Response of entanglement to annealed vis-à-vis quenched disorder in quantum spin models
• Disorder-Induced Griffiths like Phase and Charge Localization in Sr2FeRuO6
• Observation of Griffiths-like phase in the quaternary Heusler compound NiFeTiSn