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3D Vortices and Their Dynamics in Models of Uniaxial Ferro- and Antiferromagnets

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Abstract

3D structures in the model of a uniaxial ferromagnet and the dynamics of 3D structures in the model of a uniaxial antiferromagnet are studied. By imposing suitable differential constraints on possible solutions, these initial models are reduced to simpler systems of equations for complex functions. The substitutions found reduce these systems to integrable equations. As a result of their solution, new types of vortex structures in uniaxial ferro- and antiferromagnets were discovered and their simplest dynamics was studied.

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ACKNOWLEDGMENTS

We are grateful to D.V. Dolgikh for invaluable help in preparing the manuscript and useful comments.

Funding

This work was carried out within a State Assignment of the Ministry of Education and Science of the Russian Federation (topic “Quantum” no. АААА-А18-118020190095-4).

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Authors and Affiliations

  1. Mikheev Institute of Metal Physics, Ural Branch, Russian Academy of Sciences, 620108, Yekaterinburg, Russia

    A. B. Borisov

  2. Verkin Institute for Low Temperature Physics and Engineering, National Academy of Sciences of Ukraine, 61103, Kharkiv, Ukraine

    A. S. Kovalev

  3. Karazin Kharkiv National University, 61077, Kharkiv, Ukraine

    A. S. Kovalev

Authors
  1. A. B. Borisov
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  2. A. S. Kovalev
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Corresponding authors

Correspondence to A. B. Borisov or A. S. Kovalev.

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The authors declare that they have no conflicts of interest.

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Translated by E. Chernokozhin

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Borisov, A.B., Kovalev, A.S. 3D Vortices and Their Dynamics in Models of Uniaxial Ferro- and Antiferromagnets. Dokl. Phys. 67, 187–192 (2022). https://doi.org/10.1134/S1028335822070011

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  • DOI: https://doi.org/10.1134/S1028335822070011

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