Skip to main content
Log in

Magnus force and magnetic vortex dynamics in weak ferromagnets

  • Published:
Bulletin of the Lebedev Physics Institute Aims and scope Submit manuscript

Abstract

The problem of the gyroscopic (Magnus) force in weak ferromagnets, acting on magnetic vortices being in moving domain walls was studied. A general formula for the gyroscopic force in weak ferromagnets was obtained. It was shown that the gyroscopic force is nonzero for most types of domain walls and is defined by the average magnetization of sublattices, the constants of the Dzyaloshinski interaction and exchange interaction between sublattices. Generalized expressions for effective Lagrangians and the Rayleigh functions in weak ferromagnets were derived taking into account their vortical structure.

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.

Institutional subscriptions

Similar content being viewed by others

References

  1. R. P. Cowburn, Nature Materials 6, 265 (2007).

    Article  ADS  Google Scholar 

  2. A. Thiaville, Y. Nakatani, J. Miltat, and Y. Suzuki, Europhys. Lett. 69, 990 (2005).

    Article  ADS  Google Scholar 

  3. M. Klaui, P. O. Jubert, R. Allenspach, et al., Phys. Rev. Lett. 95, 026601 (2005).

    Article  ADS  Google Scholar 

  4. T. Shinjo, T. Okuno, R. Hassdorf, et al., Science 289, 930 (2000).

    Article  ADS  Google Scholar 

  5. J. Shibata, Y. Nakatani, G. Tatara, et al., J. Magn. Magn. Mater. 310, 2041 (2007).

    Article  ADS  Google Scholar 

  6. K. V. Gon’kov, K. A. Zvezdin, and A. V. Khvalkovskii, Kratkie Soobshcheniya po Fizike FIAN, 35(8), 25 (2008) [Bulletin of the Lebedev Physics Institute 35, 238 (2008)].

    Google Scholar 

  7. A. Dussaux, B. Georges, J. Grollier, et al., Nature Communications 1, article no. 8 doi: 10.1038/ncomms1006 (2010).

  8. A. V. Khvalkovskiy, A. N. Slavin, J. Grollier, et al., Appl. Phys. Lett. 96, 022504 (2010).

    Article  ADS  Google Scholar 

  9. A. P. Malozemoff and J.C. Slonczewski, Magnetic Domain Walls in Bubble Materials (Academic, New York, 1979; Mir, Moscow, 1982).

    Google Scholar 

  10. A. V. Nikiforov and E. B. Sonin, Zh. Eksp. Teor. Fiz. 85, 642 (1983) [Sov. Phys.-JETP 58, 373 (1983)].

    Google Scholar 

  11. A. K. Zvezdin and A. F. Popkov, Pisma Zh. Eksp. Teor. Fiz. 39, 348 (1984).

    Google Scholar 

  12. L. M. Dedukh, V. I. Nikitenko, and E. B. Sonin, Usp. Fiz. Nauk 145, 158 (1985) [Sov. Phys.-Usp. 28, 100 (1985)].

    Google Scholar 

  13. G. E. Volovik, Pisma Zh. Eksp. Teor. Fiz. 44, 144 (1986).

    Google Scholar 

  14. A. K. Zvezdin and A. F. Popkov, Zh. Eksp. Teor. Fiz. 91, 1789 (1986).

    Google Scholar 

  15. M. V. Chetkin, I. V. Parygina, V. B. Smirnov, et al., Pisma Zh. Eksp. Teor. Fiz. 49(3), 174 (1989); M. V. Chetkin, V. B. Smirnov, I. V. Parigina, and A. K. Zvezdin, Phys. Lett. A 140, 428 (1989).

    Google Scholar 

  16. A. A. Thiele, Phys. Rev. Lett. 30, 230 (1973).

    Article  ADS  Google Scholar 

  17. A. K. Zvezdin, V. I. Belotelov, K. A. Zvezdin, Pisma Zh. Eksp. Teor. Fiz. 87, 443 (2008) [JETP Lett. 87, 381 (2008)].

    Google Scholar 

  18. G. E. Volovik, The Universe in a Helium Droplet (Clarendon, Oxford, 2003); http://ltl.tkk.fi/personnel/THEORY/volovik/book.pdf

    MATH  Google Scholar 

  19. A. A. Thiele, J. Appl. Phys. 45, 377 (1974).

    Article  ADS  Google Scholar 

  20. M. V. Chetkin, Yu. N. Kurbatova, and V. N. Filatov, Pisma Zh. Eksp. Teor. Fiz. 65, 760 (1997) [JETP Lett. 65, 797 (1997)].

    Google Scholar 

  21. M.V. Chetkin, Yu. N. Kurbatova, T.B. Shapaeva, and O. A. Borshchegovsky, Pisma Zh. Eksp. Teor. Fiz. 79, 527 (2004) [JETP Lett. 79, 420 (2004)].

    Google Scholar 

  22. M. V. Chetkin, Yu. N. Kurbatova, T. B. Shapaeva, and O. A. Borschegovsky, Phys. Lett. A 337, 235 (2005).

    ADS  Google Scholar 

  23. M. V. Chetkin, Yu. N. Kurbatova, T. B. Shapaeva, and O. A. Borshchegovsky, Zh. Eksp. Teor. Fiz. 130, 181 (2006) [J. Exp. Theor. Phys. 103, 159 (2006)].

    Google Scholar 

  24. M.V. Chetkin, Yu. N. Kurbatova, T.B. Shapaeva, and O. A. Borshchegovsky, Pisma Zh. Eksp. Teor. Fiz. 85, 232 (2007) [JETP Lett. 85, 194 (2007)].

    Google Scholar 

  25. M. V. Chetkin, A. N. Shalygin, and A de la Kampa, Fiz. Tverdogo Tela 19, 3470 (1977).

    Google Scholar 

  26. V. G. Baryahtar, M. V. Chetkin, B. A. Ivanov, and S. Gadetskii, Dynamics of Topological Magnetic Solitons (Springer, Berlin, 1994).

    Book  Google Scholar 

  27. K. P. Belov, A. K. Zvezdin, A. M. Kadomtseva, and R. Z. Levitin, Orientational Transitions in Rare-Earth Magnets (Nauka, Moscow, 1979) [in Russian].

    Google Scholar 

  28. A. K. Zvezdin, Pisma Zh. Eksp. Teor. Fiz. 29, 605 (1979).

    Google Scholar 

  29. A. F. Andreev and V. I. Marchenko, Usp. Fiz.Nauk 130, 39 (1980).

    Google Scholar 

  30. A. K. Zvezdin and A. A. Mukhin, Kratkie Soobshcheniya po Fizike FIAN, No. 12, 10 (1981) [Soviet Physics — Lebedev Institute Reports].

  31. M. V. Berry, Proc. R. Soc. Lond. A 392, 45 (1984).

    Article  MATH  ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to A. K. Zvezdin.

Additional information

Original Russian Text © A.K. Zvezdin, K.A. Zvezdin, 2010, published in Kratkie Soobshcheniya po Fizike, 2010, Vol. 37, No. 8, pp. 22–32.

About this article

Cite this article

Zvezdin, A.K., Zvezdin, K.A. Magnus force and magnetic vortex dynamics in weak ferromagnets. Bull. Lebedev Phys. Inst. 37, 240–247 (2010). https://doi.org/10.3103/S1068335610080038

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.3103/S1068335610080038

Key words

Navigation