Evidence for power-law Griffiths singularities in a layered Heisenberg magnet

We study the ferromagnetic phase transition in a randomly layered Heisenberg model. A recent strong-disorder renormalization group approach [Phys. Rev. B 81, 144407 (2010)] predicted that the critical point in this system is of exotic infinite-randomness type and is accompanied by strong power-law G...

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Bibliographic Details
Published inarXiv.org
Main Authors Hrahsheh, Fawaz, Barghathi, Hatem, Mohan, Priyanka, Narayanan, Rajesh, Vojta, Thomas
Format Paper Journal Article
LanguageEnglish
Published Ithaca Cornell University Library, arXiv.org 29.05.2010
Subjects
Autocorrelation functions
Computer simulation
Critical point
Decay rate
Divergence
Ferromagnetic phases
Ferromagnetism
Heisenberg theory
Magnetic permeability
Monte Carlo simulation
Phase transitions
Physics - Disordered Systems and Neural Networks
Physics - Statistical Mechanics
Physics - Strongly Correlated Electrons
Power law
Predictions
Singularities
Statistical models
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Summary:We study the ferromagnetic phase transition in a randomly layered Heisenberg model. A recent strong-disorder renormalization group approach [Phys. Rev. B 81, 144407 (2010)] predicted that the critical point in this system is of exotic infinite-randomness type and is accompanied by strong power-law Griffiths singularities. Here, we report results of Monte-Carlo simulations that provide numerical evidence in support of these predictions. Specifically, we investigate the finite-size scaling behavior of the magnetic susceptibility which is characterized by a non-universal power-law divergence in the Griffiths phase. In addition, we calculate the time autocorrelation function of the spins. It features a very slow decay in the Griffiths phase, following a non-universal power law in time.
ISSN:2331-8422
DOI:10.48550/arxiv.1005.5484