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Solitons in a semi-infinite ferromagnet with anisotropy of the easy axis type

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Abstract

We propose a special variant of the inverse scattering transform method to construct and analyze soliton excitations in a semi-infinite sample of an easy-axis ferromagnet in the case of a partial pinning of spins at its surface. We consider the limit cases of free edge spins and spins that are fully pinned at the sample boundary. We find frequency and modulation characteristics of solitons localized near the sample surface. In the case of different degrees of edge spin pinning, we study changes in the cores of moving solitons as a result of their elastic reflection from the sample boundary. We obtain integrals of motion that control the dynamics of magnetic solitons in a semi-infinite sample.

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Acknowledgments

The author is thankful to A. A. Raskovalov for the preparation of the figures and for help in preparing this paper for publication.

Funding

The work is published in the framework of the state assignment of the Ministry of Education and Science of the Russian Federation (research issue “Kvant,” No. 122021000038-7).

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Authors and Affiliations

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

    V. V. Kiselev

  2. Institute of Physics and Technology, Ural Federal University, Ekaterinburg, Russia

    V. V. Kiselev

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  1. V. V. Kiselev
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Correspondence to V. V. Kiselev.

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Translated from Teoreticheskaya i Matematicheskaya Fizika, 2024, Vol. 219, pp. 55–79 https://doi.org/10.4213/tmf10654.

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Kiselev, V.V. Solitons in a semi-infinite ferromagnet with anisotropy of the easy axis type. Theor Math Phys 219, 576–597 (2024). https://doi.org/10.1134/S0040577924040068

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