Magnetic vortex near the extended linear magnetic inhomogeneity | Научно-инновационный портал СФУ

## Magnetic vortex near the extended linear magnetic inhomogeneity

Тип публикации: статья из журнала

Год издания: 2021

Идентификатор DOI: 10.1016/j.jmmm.2021.167999

Ключевые слова: magnetic inhomogeneity, magnetic resonance, magnetic vortex, nanodot, skyrmions, thiel's equation

Аннотация: In this paper, the problem of a magnetic vortex motion in a field of extended linear inhomogeneity is solved theoretically. The motion parameters are calculated by the method of collective variables (Thiel's equation) with the vortex effective mass and the third-order gyrovector. On the basis of the equation of motion, the influence of the core mass and the third-order gyrovector on the character of the vortex motion as a quasiparticle is analyzed. Using the method of magnetostatic charges, analytical expressions are obtained for the effective potentials where the vortex core is located: (a) near the edge of the magnet or at the boundary of different magnetic phases, (b) near the linear inhomogeneity of local anisotropy (bidirectional and unidirectional). The solution of the equation of motion made it possible to obtain the trajectories of the core in various physical situations. In addition, the paper discusses the features of the Hall effect for vortices/skyrmions, which are provided by the inertial properties and a third-order gyrovector. It is shown that when the core of a linear inhomogeneity crosses a unidirectional anisotropy or the boundary of magnetic phases, a curvature of the trajectory is observed, which is similar to the refraction of light at the boundary of optically dissimilar environment. It is important to note that the introduction of the mass and gyroscopic effect of the third order in the equation of motion showed that the motion of the vortex, even in a homogeneous potential, is not translational. In this case, the trajectory is an overlay of cycloids of different rotation frequencies (analytical expressions are obtained for the frequencies). It is shown that, the introduction of the mass and the gyroscopic term of the third order, the motion of the vortex core cannot be considered translational at least during the time of the transition mode until the stationary mode of motion takes place. © 2021 Elsevier B.V.

#### Издание

Журнал: Journal of Magnetism and Magnetic Materials

Выпуск журнала: Vol. 533

Номера страниц: 167999

ISSN журнала: 03048853

Издатель: Elsevier B.V.

#### Авторы

• Orlov V.A. (Siberian Fed Univ, 79 Svobodny Pr, Krasnoyarsk 660041, Russia; Russian Acad Sci, Siberian Branch, Kirensky Inst, Phys Fed Res Ctr KSC, Akademgorodok 50,Bld 38, Krasnoyarsk 660036, Russia)
• Patrin G.S. (Siberian Fed Univ, 79 Svobodny Pr, Krasnoyarsk 660041, Russia; Russian Acad Sci, Siberian Branch, Kirensky Inst, Phys Fed Res Ctr KSC, Akademgorodok 50,Bld 38, Krasnoyarsk 660036, Russia)
• Dolgopolova M.V (Siberian Fed Univ, 79 Svobodny Pr, Krasnoyarsk 660041, Russia)
• Orlova I.N. (Krasnoyarsk State Pedag Univ, 89 Ady Lebedevoi St, Krasnoyarsk 660049, Russia)

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