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The XYZ model by the series expansion of exponentials for spin matrices in the mean-field approximation

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Abstract

The spin-1/2 XYZ model with Dzyaloshinskii-Moriya interaction (DMI) is considered in the mean-field approximation (MFA) by the series expansion of exponentials for the spin matrices. The bilinear interaction parameters J, external magnetic field H and the DMI are included into the Hamiltonian and their effects are considered for the magnetization components of the model for various values of the coordination numbers. The formulation of the model is obtained for the general interactions but the illustrations are only presented for the antiferromagnetic (AFM) model. The temperature changes of magnetizations are analyzed in detail to obtain the phase transition behavior of the model. It is found that the model presents ferromagnetic (FM) and random or oscillatory phase region (R). The AFM phase is only presented when DMI is turned off. It is also found that the R and AFM phases present only the second-order phase transitions.

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Data sharing not applicable to this article as no datasets were generated or analysed during the current study.

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Authors and Affiliations

  1. Department of Physics, Erciyes University, 38039, Kayseri, Turkey

    Erhan Albayrak

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  1. Erhan Albayrak
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Correspondence to Erhan Albayrak.

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Albayrak, E. The XYZ model by the series expansion of exponentials for spin matrices in the mean-field approximation. Eur. Phys. J. Plus 138, 228 (2023). https://doi.org/10.1140/epjp/s13360-023-03802-y

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