Nonlinear dynamics of a quasi-one-dimensional helicoidal structure

Kiselev, V. V.; Raskovalov, A. A.

doi:10.1007/s11232-012-0133-3

Cited by 14 publications

(4 citation statements)

References 9 publications

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“…Noncollinear spin textures in chiral helimagnets and their concomitant fundamental excitations have aroused research interest as technologically relevant objects for spintronic applications [71][72][73] . Unfortunately, nonlinear breather excitations lie outside the mainstream of these investigations and the number of relevant works is very limited 75,76 . In our study we argue that this kind excitations may arise in the form of magnetic discrete breathers in the monoaxial chiral helimagnet CrNb 3 S 6 owing to fairly small easy-plane anisotropy and the specific domain structure of the compound.…”

Section: Bottom Dark Breathersmentioning

confidence: 99%

Dark discrete breather modes in monoaxial chiral helimagnet with easy-plane anisotropy

Bostrem,

Ekomasov,

Kishine

et al. 2021

Preprint

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Nonlinearity and discreteness are two pivotal factors for an emergence of discrete breather excitations in various media. We argue that these requirements are met in the forced ferromagnetic phase of the monoaxial chiral helimagnet CrNb3S6 due to specific domain structure of the compound. The stationary, time-periodic breather modes appear as the discrete breather lattice solutions whose period mismatches with a system size. Thanks to easy-plane single-ion anisotropy intrinsic to CrNb3S6, these modes are of the dark type with frequencies lying within the linear spin-wave band, close to its bottom edge. They represent cnoidal states of magnetization, similar to the well-known soliton lattice ground state, with differing but limited number of embedded 2π-kinks. Linear stability of these dark breather modes is verified by means of the Floquet analysis. Their energy controlled by two parameters, namely the breather lattice period and amplitude, falls off linearly with a growth of the kink number. These results may pave a new path to design spintronic resonators on the base of chiral helimagnets.

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Section: Bottom Dark Breathersmentioning

confidence: 99%

Dark discrete breather modes in monoaxial chiral helimagnet with easy-plane anisotropy

Bostrem,

Ekomasov,

Kishine

et al. 2021

Preprint

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“…Another possible way to describe a skyrmion lattice is based on an analogy with the one-dimensional helical magnet with the easy-plane anisotropy [19][20][21][22] , where a skyrmion lattice and a helix (deformed by an external field) are equivalent. The two-dimensional skyrmion lattice partly resembles (but is not equivalent to) a superposition of three helices directed at an angle of 120 degrees relative to each other 9 .…”

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confidence: 99%

Towards an Effective Theory of Skyrmion Crystals

2019

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We consider multiskyrmion configurations in 2D ferromagnets with Dzyaloshinskii-Moriya (DM) interaction and the magnetic field, using the stereographic projection method. In the absence of DM interaction, D, and the field, B, the skyrmions do not interact and the exact multiskyrmion solution is a sum of individual projections. In certain range of B, D = 0, skyrmions become stable and form a hexagonal lattice. The shape of one skyrmion on the plane is fully determined by D and B. We describe multiskyrmion configurations by simple sums of individual skyrmion projections, of the same shape and adjusted scale. This procedure reveals pairwise and triple interactions between skyrmions, and the energy of proposed hexagonal structure is found in a good agreement with previous studies. It allows an effective theory of skyrmion structures in terms of variables, referring to individual skyrmions, i.e., their position, size and phase, elliptic distortions etc. arXiv:1811.01883v1 [cond-mat.str-el]

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“…In dimensionless variables, energy density of magnet with modulated structure has the form [1][2][3]:…”

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confidence: 99%

“…-are the complete elliptic integrals of the first kind; In [1][2][3] the modification of the inverse spectral transform technique, which is appropriate for studying the waves and solitons in spiral structure at localized initial conditions and given boundary conditions on the infinity, was presented. In the present paper an analysis of pulsating solitons (breathers) is given in detail.…”

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confidence: 99%