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(searched for: doi:10.1088/0305-4470/39/50/012)
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Published: 6 July 2018
Low Temperature Physics, Volume 44, pp 618-633; https://doi.org/10.1063/1.5041427

Abstract:
A review of theoretical studies of magnetic solitons in antiferromagnets (AFM) is presented. The key concepts of AFM physics and soliton theory are discussed. An analysis of AFM nonlinear dynamics is carried out according to the unified positions on the basis of a nonlinear sigma model for the antiferromagnetic vector. The derivation of this equation and its integrals of motion are discussed considering the real AFM structure. The main focus is the study of two-parameter solitons, which are characterized by both the translational motion of the soliton center and the internal dynamics of spins inside the soliton. Solitons of various types: one-dimensional and two-dimensional, topological and without topological charge, are considered. An analysis of the AFM dynamic symmetry lowering effects, which are associated with the destruction of the Lorentz-invariant character of the sigma model, is performed. Such effects arise in the case of consistent consideration of the Dzyaloshinskii–Moriya interaction and/or the strong external magnetic field. This problem has not been discussed in monographic literature. The universality classes are established for the behavior of moving solitons.
Published: 1 December 2015
Annals of Physics, Volume 363, pp 98-113; https://doi.org/10.1016/j.aop.2015.09.004

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Physical Review B, Volume 81; https://doi.org/10.1103/physrevb.81.094431

Abstract:
The interaction of a magnetic vortex with a rotating magnetic field causes the nucleation of a vortex-antivortex pair leading to a vortex polarity switching. The key point of this process is the creation of a dip, which can be interpreted as a nonlinear resonance in the system of certain magnon modes with nonlinear coupling. The usually observed single-dip structure is a particular case of a multidip structure. The dynamics of the structure with n dips is described as the dynamics of nonlinearly coupled modes with azimuthal numbers m=0,\ifmmode\pm\else\textpm\fi{}n,\ifmmode\pm\else\textpm\fi{}2n. The multidip structure with arbitrary number of vortex-antivortex pairs can be obtained in vortex-state nanodisk using a space- and a time-varying magnetic fields. A scheme of a possible experimental setup for multidip structure generation is proposed.
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