Low-amplitude three-dimensional structures in magnets

A.B. Borisov, V.V. Kiselev, and A.A. Raskovalov

M.N. Mikheev Institute of Metal Physics, Ural Branch of the Russian Academy of Sciences Yekaterinburg 620108, Russia Ural Federal University, Yekaterinburg 620002, Russia
E-mail: kiseliev@imp.uran.ru
pos Анотація:

Received December 18, 2018

A new class of low-amplitude magnetic defects in an infinite medium and the film three-dimensional ferromagnetic materials in the Heisenberg model are found. Such structures contain sources and vortices. It is shown that their dipole configurations have finite energy. A stability of structures are discussed.

PACS: 75.60.Ch Domain walls and domain structure;
PACS: 75.25.+z Spin arrangements in magnetically ordered materials.

Key words: Heisenberg model, domain vortices, non-linear sources, Landau–Lifshitz equation, dipole.

References

1. A. M. Kosevich, B. A. Ivanov, and A. S. Kovalev, Non-Linear Waves of Magnetization. Dynamic and Topological Solitons (Naukova Dumka, Kiev, 1983), p. 193 [in Russian]. Google Scholar

2. A. M. Kosevich, B. A. Ivanov, and A. S. Kovalev, Phys. Rep. 194, 117 (1990). CrossRef Google Scholar

3. A. M. Bogdanov and D. A. Yablonskii, Sov. Phys. JETP 68, 101 (1989). Google Scholar

4. B. A. Ivanov, V. A. Stepanovich, and A. A. Zhmudskii, J. Magn. Magn. Mater. 88, 116 (1990). CrossRef Google Scholar

5. A. B. Borisov and V. V. Kiselev, Non-Linear Waves, Solitons, and Localized Structures in Magnets (UrO RAN, Ekaterinburg, 2011) [in Russian]. Google Scholar

6. A. B. Borisov, J. Exp. Theor. Phys. Lett. 76, 95 (2002)A. B. Borisov, [JETP Lett. 76, 84 (2002)] , Google Scholar CrossRef Google Scholar

7. A. B. Borisov, I. G. Bostrem, and A. S. Ovchinnikov, Phys. Rev. B 72, 134423 (2005). CrossRef Google Scholar

8. J. M. Kosterlitz and D. J. Thouless, J. Phys. C: Solid State Phys. 6, 1181 (1973); CrossRef Google Scholar

9. A. B. Borisov, J. Exp. Theor. Phys. Lett. 75, 287 (2001)A. B. Borisov, [JETP Lett. 75, 287 (2001)] Google Scholar