Magnetoelectric Properties of Cylindrical Ferromagnetic Particles

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In the framework of the phenomenological approach, we obtained a non-uniform vortex distribution of magnetization and the associated non-uniform electric polarization in small magnetic particles in the shape of cylinders. The microscopic mechanism of this connection between magnetization and polarization is due to spin-orbit interaction. Within the framework of the phenomenological approach, the emergence of an inhomogeneous magnetic state and the associated appearance of inhomogeneous electric polarization in the volume of small magnetic particles have been studied. The specific form for magnetization and polarization is determined by the shape and size of the cylindrical particles. Using the free energy expression for magnetization, we obtained a nonuniform distribution of magnetization in the form of three-dimensional magnetic vortices. A vortex state occurs only for cylinders with a radius greater than a certain critical value, and for particles with a smaller radius a uniform magnetic state arises. In a vortex state, non-uniform electric polarization occurs, directed in the form of rays from the cylinder axis. The region of existence of such inhomogeneous states has been determined. The change in local electric polarization of small magnetic particles in an external magnetic field is considered. An expression for the magnetoelectric susceptibility is obtained.

作者简介

Т. Shaposhnikova

Zavoisky Physical-Technical Institute, FRC Kazan Scientific Center of RAS

编辑信件的主要联系方式.
Email: t_shap@kfti.knc.ru
俄罗斯联邦, Kazan, 420029

R. Mamin

Zavoisky Physical-Technical Institute, FRC Kazan Scientific Center of RAS

Email: mamin@kfti.knc.ru
俄罗斯联邦, Kazan, 420029

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