2015
DOI: 10.1140/epjb/e2015-50604-x
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Ordered vs. disordered states of the random-field model in three dimensions

Abstract: 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. I… Show more

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Cited by 12 publications
(7 citation statements)
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“…If the effects of exchange interaction across the F/AF interface can be described by an effective random field exerted on AF, then its reciprocal effects on F can be similarly described by an effective random field. Indeed, the Heisenberg exchange interaction preserves rotational symmetry, and therefore the local exchange torques exerted across F/AF interface on AF should be opposite to the local torques exerted by AF on F. Theoretical studies have shown that random fields acting on Fs produce an inhomogeneous magnetization state, with the magnitude of deviations from the saturated state related to the external field by certain scaling exponents dependent on the system dimensionality [32][33][34] .…”
Section: Introductionmentioning
confidence: 99%
“…If the effects of exchange interaction across the F/AF interface can be described by an effective random field exerted on AF, then its reciprocal effects on F can be similarly described by an effective random field. Indeed, the Heisenberg exchange interaction preserves rotational symmetry, and therefore the local exchange torques exerted across F/AF interface on AF should be opposite to the local torques exerted by AF on F. Theoretical studies have shown that random fields acting on Fs produce an inhomogeneous magnetization state, with the magnitude of deviations from the saturated state related to the external field by certain scaling exponents dependent on the system dimensionality [32][33][34] .…”
Section: Introductionmentioning
confidence: 99%
“…Another criticism of the IM concept came from its neglect of metastable states [22][23][24] . It was found numerically that the RA magnets exhibited metastability and history dependence 25,26 , although they do break into IM domains of size predicted by theory if one begins with a fully disordered initial state. It was demonstrated that the relation between the number of spin components and dimensionality of space in the random-field model determines whether the model possesses topological defects, and that the latter is crucial for preservation or decay of the long-range correlations [27][28][29] .…”
Section: Introductionmentioning
confidence: 90%
“…The validity of this argument that ignores metastable states, was later questioned by numerical studies [6][7][8] . It was found that the RA magnets exhibit metastability and history dependence 32,33 regardless of the strength of the RA, although the IM argument roughly holds for the average size of ferromagnetically correlated region if one begins with a fully disordered state. More recently, using random-field model, it was demonstrated that the presence of topological defects determined by the relation between the number of spin components and dimensionality of space, is responsible for the properties of random magnets [9][10][11] .…”
Section: Introductionmentioning
confidence: 98%