Electric polarization evolution equation for antiferromagnetic multiferroics with the polarization proportional to the scalar product of the spins

Fuente: arXiv
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Auteurs principaux: Andreev, Pavel A., Trukhanova, Mariya Iv.
Format: Preprint
Publié: 2024
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author Andreev, Pavel A.
Trukhanova, Mariya Iv.
author_facet Andreev, Pavel A.
Trukhanova, Mariya Iv.
contents The spin current model of electric polarization of multiferroics is justified via the quantum hydrodynamic method and the mean-field part of the spin-orbit interaction. The spin current model is applied to derive the electric polarization proportional to the scalar product of the spins of the near by ions, which appears to be caused by the Dzylaoshinskii-Moriya interaction. Symmetric tensor spin structure of the polarization is discussed as well. We start our derivations for the ferromagnetic multiferroic materials and present the further generalization for the antiferromagnetic multiferroic materials. We rederive the operator of the electric dipole moment, which provides the macroscopic polarization obtained via the spin current model. Finally, we use the quantum average of the found electric dipole moment operator in order to derive the polarization evolution equation for the antiferromagnetic multiferroic materials. Possibility of spiral spin structures is analyzed.
format Preprint
id arxiv_https___arxiv_org_abs_2403_01211
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Electric polarization evolution equation for antiferromagnetic multiferroics with the polarization proportional to the scalar product of the spins
Andreev, Pavel A.
Trukhanova, Mariya Iv.
Materials Science
Statistical Mechanics
The spin current model of electric polarization of multiferroics is justified via the quantum hydrodynamic method and the mean-field part of the spin-orbit interaction. The spin current model is applied to derive the electric polarization proportional to the scalar product of the spins of the near by ions, which appears to be caused by the Dzylaoshinskii-Moriya interaction. Symmetric tensor spin structure of the polarization is discussed as well. We start our derivations for the ferromagnetic multiferroic materials and present the further generalization for the antiferromagnetic multiferroic materials. We rederive the operator of the electric dipole moment, which provides the macroscopic polarization obtained via the spin current model. Finally, we use the quantum average of the found electric dipole moment operator in order to derive the polarization evolution equation for the antiferromagnetic multiferroic materials. Possibility of spiral spin structures is analyzed.
title Electric polarization evolution equation for antiferromagnetic multiferroics with the polarization proportional to the scalar product of the spins
topic Materials Science
Statistical Mechanics
url https://arxiv.org/abs/2403.01211