Skip to main content
Log in

Dynamic topological solitons in a two-dimensional ferromagnet

  • Nonlinear Physics
  • Published:
Journal of Experimental and Theoretical Physics Aims and scope Submit manuscript

Abstract

It is shown that stable, skyrmion-type, dynamic solitons can be constructed for a wide class of two-dimensional models of anisotropic ferromagnets. These solitons are stabilized as a result of the conservation of various integrals of motion: the z projection of the total spin S z or the orbital angular momentum L z of the magnetization field. A class of two-parameter solitons with quite complicated (almost periodic) magnetization-field dynamics exists for a purely uniaxial model (in the sense of both spin and spatial rotations) with maximum symmetry. Stable solitons with periodic magnetization dynamics exist for ferromagnets with lower symmetry (only S z or L z or the total angular momentum J z =L z +S z is conserved).

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. A. M. Kosevich, B. A. Ivanov, and A. S. Kovalev, Phys. Rep. 194, 117 (1990).

    Article  ADS  Google Scholar 

  2. V. G. Bar’yakhtar and B. A. Ivanov, Soviet Scientific Reviews, Sec. A — Phys., edited by I. M. Khalatnikov, 16, No. 3, (1992).

  3. B. A. Ivanov and A. K. Kolezhuk, Fiz. Nizk. Temp. 21, 355 (1995) [Low Temp. Phys. 21, 275 (1995)].

    ADS  Google Scholar 

  4. V. L. Berezinskii, Zh. Éksp. Teor. Fiz. 59, 907 (1971) [Sov. Phys. JETP 32, 493 (1971)].

    MathSciNet  Google Scholar 

  5. J. M. Kosterlitz and D. J. Thouless, J. Phys. C 6, 1181 (1973).

    Article  ADS  Google Scholar 

  6. A. R. Volkel, F. G. Mertens, A. R. Bishop, and G. M. Wysin, Phys. Rev. B 43, 5992 (1991).

    ADS  Google Scholar 

  7. F. Waldner, J. Magn. Magn. Mater. 31–34, 1203 (1983); ibid. 54–57, 873 (1986).

    ADS  Google Scholar 

  8. C. E. Zaspel, T. E. Grigerate, and J. E. Drumhellar, Phys. Rev. Lett. 74, 4539 (1995); C. E. Zaspel and J. E. Drumhellar, Int. J. Mod. Phys. 10, 3649 (1996).

    Article  ADS  Google Scholar 

  9. B. A. Ivanov and A. K. Kolzhuk, Fiz. Nizk. Temp. 16, 335 (1990) [Sov. J. Low Temp. Phys. 16, 184 (1990)]; A. K. Kolezhuk and D. V. Filin, Fiz. Nizk. Temp. 20, 1267 (1994) [Low Temp. Phys. 20, 992 (1994)].

    Google Scholar 

  10. A. A. Belavin and A. M. Polyakov, JETP Lett. 22, 245 (1975); A. M. Perelomov, Usp. Fiz. Nauk 134, 577 (1981) [Sov. Phys. Usp. 24, 645 (1981)].

    ADS  Google Scholar 

  11. S. L. Sondhi, A. Karlhede, S. A. Kivelson, and E. H. Rezayi, Phys. Rev. B 47, 16419 (1993).

    Google Scholar 

  12. V. G. Makhankov, Phys. Rep. 35, 1 (1978).

    Article  ADS  MathSciNet  Google Scholar 

  13. B. A. Ivanov, JETP Lett. 56, 118 (1992).

    ADS  Google Scholar 

  14. A. A. Zhmudskii and B. A. Ivanov, JETP Lett. 65, 945 (1997).

    ADS  Google Scholar 

  15. N. Papanicolaou, in Singularities in Fluids, Plasmas, and Optics, edited by Gaflisch (NATO ASI Series, Springer, 1992).

  16. B. A. Ivanov, JETP Lett. 58, 389 (1993).

    ADS  Google Scholar 

  17. N. R. Cooper, Phys. Rev. Lett. 80, 4554 (1998).

    Article  ADS  Google Scholar 

  18. N. Papanikolaou and W. J. Zakrzewski, Physica D 80, 225 (1995).

    Google Scholar 

  19. B. A. Ivanov and A. L. Sukstanskii, Solid State Commun. 50, 523 (1984).

    Article  Google Scholar 

  20. I. V. Bar’yakhtar and B. A. Ivanov, Zh. Éksp. Teor. Fiz. 85, 328 (1983) [Sov. Phys. JETP 58, 190 (1983)].

    Google Scholar 

  21. A. V. Buryak, Yu. S. Kivshar, and S. Trillo, Phys. Rev. Lett. 77, 5210 (1996).

    Article  ADS  Google Scholar 

  22. A. A. Zhmudskii and B. A. Ivanov, Fiz. Nizk. Temp. 22, 446 (1996) [Low Temp. Phys. 22, 347 (1996)].

    Google Scholar 

  23. A. N. Berlizov and A. A. Zhmudsky, Preprint KINR-98-4 (Institute for Nuclear Research, Kiev, 1998).

  24. B. A. Ivanov, A. K. Kolezhuk, and G. M. Wysin, Phys. Rev. Lett. 76, 511 (1996).

    Article  ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

Zh. Éksp. Teor. Fiz. 115, 1511–1530 (April 1999)

Rights and permissions

Reprints and permissions

About this article

Cite this article

Zhmudskii, A.A., Ivanov, B.A. Dynamic topological solitons in a two-dimensional ferromagnet. J. Exp. Theor. Phys. 88, 833–843 (1999). https://doi.org/10.1134/1.558863

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1134/1.558863

Keywords

Navigation