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Ordered vs. disordered states of the random-field model in three dimensions

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Abstract

We report numerical investigation of the glassy behavior of random-field exchange models in three dimensions. Correlation of energy with the magnetization for different numbers of spin components has been studied. There is a profound difference between the models with two and three spin components with respect to the stability of the magnetized state due to the different kinds of singularities: vortex loops and hedgehogs, respectively. Memory effects pertinent to such states have been investigated. Insight into the mechanism of the large-scale disordering is provided by numerically implementing the Imry-Ma argument in which the spins follow the random field averaged over correlated volumes. Thermal stability of the magnetized states is investigated by the Monte Carlo method.

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Authors and Affiliations

  1. Physics Department, Lehman College, City University of New York, 250 Bedford Park Boulevard West, Bronx, 10468-1589, Bronx, New York, USA

    Dmitry A. Garanin & Eugene M. Chudnovsky

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  1. Dmitry A. Garanin
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  2. Eugene M. Chudnovsky
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Correspondence to Dmitry A. Garanin.

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Garanin, D.A., Chudnovsky, E.M. Ordered vs. disordered states of the random-field model in three dimensions. Eur. Phys. J. B 88, 81 (2015). https://doi.org/10.1140/epjb/e2015-50604-x

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