Low Temperature Physics: 46, 851 (2020); https://doi.org/10.1063/10.0001553
Fizika Nizkikh Temperatur: Volume 46, Number 8 (August 2020), p. 1008-1013    ( to contents , go back )

Topological characteristics of building blocks in the domain wall of an antiferromagnet with Dzyaloshinskii–Moriya interaction

O.Yu. Gorobets and Yu.I. Gorobets

National Technical University of Ukraine “Igor Sikorsky Kyiv Polytechnic Institute” 37 Peremohy Prosp., Kyiv 03056, Ukraine

Institute of Magnetism of the National Academy of Sciences of Ukraine and Ministry of Education and Science of Ukraine, Kyiv 03142, Ukraine
E-mail: gorobets.oksana@gmail.com; gorobets@imag.kiev.ua
pos Анотація:

Received April 15, 2020, published online June 22, 2020

Abstract

Topological charges are calculated for a number of exact three-dimensional analytical solutions of the Landau–Lifshitz equation, which describe the distribution of the vector fields of the vectors of antiferromagnetism and magnetization of an antiferromagnet. It is shown that the modified characteristics arise in the case of samples with sizes comparable to the characteristic scales of topological objects of the fields of the vectors of antiferromagnetism and magnetization that depend not only on the topological properties of these objects, but also on the geometry of the sample. Such modified characteristics may take non-integer values in samples of finite sizes.

Key words: topological charge, antiferromagnet, Dzyaloshinskii–Moriya interaction, skyrmion, domain wall.

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