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.
Similar content being viewed by others
References
R. P. Cowburn, Nature Materials 6, 265 (2007).
A. Thiaville, Y. Nakatani, J. Miltat, and Y. Suzuki, Europhys. Lett. 69, 990 (2005).
M. Klaui, P. O. Jubert, R. Allenspach, et al., Phys. Rev. Lett. 95, 026601 (2005).
T. Shinjo, T. Okuno, R. Hassdorf, et al., Science 289, 930 (2000).
J. Shibata, Y. Nakatani, G. Tatara, et al., J. Magn. Magn. Mater. 310, 2041 (2007).
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)].
A. Dussaux, B. Georges, J. Grollier, et al., Nature Communications 1, article no. 8 doi: 10.1038/ncomms1006 (2010).
A. V. Khvalkovskiy, A. N. Slavin, J. Grollier, et al., Appl. Phys. Lett. 96, 022504 (2010).
A. P. Malozemoff and J.C. Slonczewski, Magnetic Domain Walls in Bubble Materials (Academic, New York, 1979; Mir, Moscow, 1982).
A. V. Nikiforov and E. B. Sonin, Zh. Eksp. Teor. Fiz. 85, 642 (1983) [Sov. Phys.-JETP 58, 373 (1983)].
A. K. Zvezdin and A. F. Popkov, Pisma Zh. Eksp. Teor. Fiz. 39, 348 (1984).
L. M. Dedukh, V. I. Nikitenko, and E. B. Sonin, Usp. Fiz. Nauk 145, 158 (1985) [Sov. Phys.-Usp. 28, 100 (1985)].
G. E. Volovik, Pisma Zh. Eksp. Teor. Fiz. 44, 144 (1986).
A. K. Zvezdin and A. F. Popkov, Zh. Eksp. Teor. Fiz. 91, 1789 (1986).
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).
A. A. Thiele, Phys. Rev. Lett. 30, 230 (1973).
A. K. Zvezdin, V. I. Belotelov, K. A. Zvezdin, Pisma Zh. Eksp. Teor. Fiz. 87, 443 (2008) [JETP Lett. 87, 381 (2008)].
G. E. Volovik, The Universe in a Helium Droplet (Clarendon, Oxford, 2003); http://ltl.tkk.fi/personnel/THEORY/volovik/book.pdf
A. A. Thiele, J. Appl. Phys. 45, 377 (1974).
M. V. Chetkin, Yu. N. Kurbatova, and V. N. Filatov, Pisma Zh. Eksp. Teor. Fiz. 65, 760 (1997) [JETP Lett. 65, 797 (1997)].
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)].
M. V. Chetkin, Yu. N. Kurbatova, T. B. Shapaeva, and O. A. Borschegovsky, Phys. Lett. A 337, 235 (2005).
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)].
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)].
M. V. Chetkin, A. N. Shalygin, and A de la Kampa, Fiz. Tverdogo Tela 19, 3470 (1977).
V. G. Baryahtar, M. V. Chetkin, B. A. Ivanov, and S. Gadetskii, Dynamics of Topological Magnetic Solitons (Springer, Berlin, 1994).
K. P. Belov, A. K. Zvezdin, A. M. Kadomtseva, and R. Z. Levitin, Orientational Transitions in Rare-Earth Magnets (Nauka, Moscow, 1979) [in Russian].
A. K. Zvezdin, Pisma Zh. Eksp. Teor. Fiz. 29, 605 (1979).
A. F. Andreev and V. I. Marchenko, Usp. Fiz.Nauk 130, 39 (1980).
A. K. Zvezdin and A. A. Mukhin, Kratkie Soobshcheniya po Fizike FIAN, No. 12, 10 (1981) [Soviet Physics — Lebedev Institute Reports].
M. V. Berry, Proc. R. Soc. Lond. A 392, 45 (1984).
Author information
Authors and Affiliations
Corresponding author
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
Received:
Published:
Issue Date:
DOI: https://doi.org/10.3103/S1068335610080038