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Limiting Velocity and Dispersion Law of Domain Walls in Ferrimagnets Close to the Spin Compensation Point

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Abstract

The motion of domain walls in GdFeCo-type ferrimagnets near the point of compensation of sublattice spins s1 and s2, when the effects of the exchange increase in the limiting wall velocity take place, is theoretically studied. The energy E and momentum P of the wall are determined and the dispersion relation E = E(P) is derived. It is found that some walls become unstable at a sufficiently small decompensation value s1 - s2 < νc(s1 + s2), νc ≪ 1, and the dispersion relation E(P) has an end point at some finite momentum. At s1 - s2 > νc(s1 + s2), this dispersion relation, as well as that for ferromagnets, is periodic.

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Funding

This work was supported by the Government of the Russian Federation (project no. K2-2019-006, governmental decree no. 211 on March 16, 2013, for the National Research University of Science and Technology MISiS) and by the Department of Targeted Training, Taras Shevchenko National University of Kyiv at the National Academy of Sciences of Ukraine (project “Elements of Ultrafast Neuron Systems on the Basis of Antiferromagnetic Spintronic Nanostructures”).

Author information

Authors and Affiliations

  1. Institute of Physics, National Academy of Sciences of Ukraine, Kyiv, 03028, Ukraine

    E. G. Galkina

  2. Department of Environmental Sciences, University of Montana Western, Dillon, MT, 59725, USA

    C. E. Zaspel

  3. Institute of Magnetism, National Academy of Sciences of Ukraine, Kyiv, 03142, Ukraine

    B. A. Ivanov

  4. National Research University of Science and Technology MISiS, Moscow, 119049, Russia

    B. A. Ivanov & N. E. Kulagin

  5. Frumkin Institute of Physical Chemistry and Electrochemistry, Russian Academy of Sciences, Moscow, 119071, Russia

    N. E. Kulagin

  6. Moscow Aviation Institute (National Research University), Moscow, 125993, Russia

    N. E. Kulagin

  7. Lobachevsky National Research University of Nizhny Novgorod, Nizhny Novgorod, 603950, Russia

    L. M. Lerman

Authors
  1. E. G. Galkina
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  2. C. E. Zaspel
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  3. B. A. Ivanov
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  4. N. E. Kulagin
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  5. L. M. Lerman
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Correspondence to B. A. Ivanov.

Additional information

Russian Text © The Author(s), 2019, published in Pis’ma v Zhurnal Eksperimental’noi i Teoreticheskoi Fiziki, 2019, Vol. 110, No. 7, pp. 474–479.

Supplementary materials are available for this article at https://doi.org/10.1134/S002136401919007X and are accessible for authorized users.

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Galkina, E.G., Zaspel, C.E., Ivanov, B.A. et al. Limiting Velocity and Dispersion Law of Domain Walls in Ferrimagnets Close to the Spin Compensation Point. Jetp Lett. 110, 481–486 (2019). https://doi.org/10.1134/S002136401919007X

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  • DOI: https://doi.org/10.1134/S002136401919007X

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