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Abstract <p>The derivation of the Landau–Lifshitz equations for antiferromagnets with two types of magnetic ions of different mass is presented. The contribution of the difference in interaction potentials of different subsystems is discussed (the difference in masses, potentials, and magnetic moments corresponds to ferrimagnets). The derivation of the exchange interaction and the contribution of the anisotropy energy is based on the use of the ‘‘<InlineEquation ID="IEq1"> <EquationSource Format="TEX">\(x,y,z\)</EquationSource> <!--BPhysMGU2570322Andreev-m1--> </InlineEquation>’’ model. The derivation of the Dzyaloshinskii–Moriya interaction contribution is considered. Two mechanisms of the emergence of the Dzyaloshinskii–Moriya interaction are investigated: one is caused by the violation of inversion symmetry in the lattice, and the other is associated with the existence (and displacement) of a ligand ion, which is represented by an oxygen ion. In addition, the possibility of anisotropy of the Dzyaloshinskii–Moriya interaction is taken into account.</p>

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Generalization and Microscopic Justification of the Material-Field Form of the Landau–Lifshitz Equation for Antiferromagnets

  • 期刊论文

  • 发表日期：

    2025年12月1日

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  • P. A. Andreev

摘要

Abstract

The derivation of the Landau–Lifshitz equations for antiferromagnets with two types of magnetic ions of different mass is presented. The contribution of the difference in interaction potentials of different subsystems is discussed (the difference in masses, potentials, and magnetic moments corresponds to ferrimagnets). The derivation of the exchange interaction and the contribution of the anisotropy energy is based on the use of the ‘‘ \(x,y,z\) ’’ model. The derivation of the Dzyaloshinskii–Moriya interaction contribution is considered. Two mechanisms of the emergence of the Dzyaloshinskii–Moriya interaction are investigated: one is caused by the violation of inversion symmetry in the lattice, and the other is associated with the existence (and displacement) of a ligand ion, which is represented by an oxygen ion. In addition, the possibility of anisotropy of the Dzyaloshinskii–Moriya interaction is taken into account.