Abstract

The extensive investigation of the absorptive and reactive parts of the AC order parameter susceptibility spectra of iron group dihalides, which is obtained on the basis of Onsager theory of irreversible processes, revealed the fact that the diagonal phenomenological rate coefficients γs and γm have an important impact on the nature of the order parameter relaxation process. The number of the relaxation peaks appearing in the double logarithmic plots of χs′′ versus field frequency ω and the number of plateau regions in χs′ spectrum depends on the values of γs and γm. Only for γs≫γm does the relaxation evolve from a simple Debye exponential at high temperatures to a two-step process at lower temperatures in which there exist two long relaxation times characterizing the relaxation of staggered magnetization. In parallel with these characteristics of the order parameter relaxation, Cole-Cole plots (χs′′-χs′) are shown to consist of two arcs in the metamagnetic phase and of a semicircle in the paramagnetic phase.

Highlights

  • If a magnetic system is perturbed by an alternative current (AC) external magnetic field, magnetic properties of the system that are coupled to the magnetic field change

  • The relaxation analysis based on the frequency dependent order parameter susceptibility of the metamagnetic Ising model is performed by means of a method where the equilibrium statistical theory and thermodynamics of irreversible processes are combined

  • After obtaining the two relaxation times that characterize the order parameter relaxation, the steady-state behavior of the order parameter is studied assuming that the system is under the effect of an oscillating staggered magnetic field and an expression is obtained for the order parameter susceptibility χs(ω) which only depends on the frequency of the perturbation field

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Summary

Introduction

If a magnetic system is perturbed by an alternative current (AC) external magnetic field, magnetic properties of the system that are coupled to the magnetic field change . Metamagnetic systems are systems that have both ferromagnetic and antiferromagnetic couplings, simultaneously They attracted much interest due to the fact that it is possible to induce novel kinds of critical behavior by forcing competition between these couplings, especially by applying a magnetic field [9, 10]. Compounds such as FeCl2, FeBr2, NiCl2, FeMgBr2, CoCl2, and FeCl2 ⋅ 2H2O are grouped as metamagnetic substances [11]. The aim of this study is to formulate the steady-state dynamics and investigate the frequency variance of the AC order parameter susceptibility of a metamagnetic Ising system via the phenomenological kinetic coefficients and the linear response theory. A summary and discussion of the results are given in the last section

Equilibrium Properties of the Model
Derivation of AC Order Parameter Susceptibility
Frequency Response of the AC Order Parameter Susceptibility
FIA 2
Concluding Remarks
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