Triple helix versus skyrmion lattice in two-dimensional noncentrosymmetric magnets

Тимофеев, В. Е.; Сорокин, А. О.; Aristov, D. N.

doi:10.1103/physrevb.103.094402

Cited by 12 publications

(6 citation statements)

References 25 publications

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“…3, attains nearly zero energy at Γ point. It can be compared with the analytic expression (29). Since f 0 ∼ 1/z, the behavior of Ψ ø in ( 29) is consistent with m = 2.…”

Section: Classification Of the Branchesmentioning

confidence: 78%

“…We showed previously 28,29 that the stereographic projection approach is an effective instrument for description of static skyrmionic configurations including SkX. Below we sketch the way to construct the trial function f , adopted for SkX configuration f SkX .…”

Section: Static Configuration a Construction Of Skyrmion Crystalmentioning

confidence: 99%

“…Ψ ø |Ψ 1 (k = 0) = 0.993 for b = 0.52. The imperfect matching is due to the fact, that the main component of the true zero mode (29) is not continuous at the skyrmion positions, namely, Ψ ø ∼ z/z 0 .…”

Section: Classification Of the Branchesmentioning

confidence: 99%

“…The discussion of several important technical issues is found here as well. In Section III we briefly describe the construction of static SkX configuration in stereographic projection by the ansatz proposed earlier in 28,29 . Here we also discuss the way to calculate corrections to our trial ground state, and provide corresponding formulas.…”

Section: Introductionmentioning

confidence: 99%

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Magnon band structure of skyrmion crystals and stereographic projection approach

Timofeev,

Aristov

2021

Preprint

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Using semiclassical method combined with stereographic projection approach, we investigate the magnetic dynamics of the skyrmion crystal (SkX), formed in planar ferromagnet with both Dzyaloshinskii-Moriya interaction and uniform magnetic field. The topologically non-trivial ground state of SkX is described in stereographic projection by the complex valued function with simple poles at skyrmions' positions. We use the earlier proposed ansatz for this ground state function in the form of the sum of individual skyrmions. The dynamics follows from the second variation of the classical action. Numerical analysis yields the magnon band structure of tight-binding form in accordance with previously known results. There are two sets of bands, one set with a flat dispersion, topologically trivial and rapidly evolving with magnetic field. Another set is robust to magnetic field, characterized by pronounced dispersion and with the Berry curvature which may be sign-reversal in the Brillouin zone. The developed theory can be straightforwardly generalized for the analysis of magnetic dynamics in topological spin structures of other types.

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“…3, attains nearly zero energy at Γ point. It can be compared with the analytic expression (29). Since f 0 ∼ 1/z, the behavior of Ψ ø in ( 29) is consistent with m = 2.…”

Section: Classification Of the Branchesmentioning

confidence: 78%

Section: Static Configuration a Construction Of Skyrmion Crystalmentioning

confidence: 99%

Section: Classification Of the Branchesmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Magnon band structure of skyrmion crystals and stereographic projection approach

Timofeev,

Aristov

2021

Preprint

Self Cite

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“…Finally, we would like to point out that the complementary to proposed here theory for low-temperature part of the phase diagram is an interesting and challenging problem due to multi-harmonic skyrmion structure (see, e.g., Ref. 46 ) and long-range nature of the dipolar forces. If one considers standard single-ion easy-axis anisotropy without dipolar forces, the conical phase becomes stable at large fields (see text), but the skyrmion lattice is the ground state in the intermediate fields range.…”

Section: Easy Axis Along Cmentioning

confidence: 79%

Mean-field approach for skyrmion lattice in hexagonal frustrated antiferromagnets

Utesov

2021

Preprint

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Simple mean-field approach for frustrated antiferromagnets on hexagonal lattices, aimed to describe the high-temperature part of the temperature-magnetic field phase diagram, is proposed. It is shown, that an interplay between modulation vector symmetry, Zeeman energy and magneto-dipolar interaction leads to stabilization of the triple-Q skyrmion lattice in a certain region of the phase diagram. Corresponding analytical expressions for phase boundaries are derived. It is argued that the developed theory can be applied for the description of the high-temperature part of the phase diagram observed experimentally for Gd2PdSi3 compound.

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Magnons in the fan phase of anisotropic frustrated antiferromagnets

Utesov

2024

Journal of Magnetism and Magnetic Materials

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Triple helix versus skyrmion lattice in two-dimensional noncentrosymmetric magnets

Cited by 12 publications

References 25 publications

Magnon band structure of skyrmion crystals and stereographic projection approach

Magnon band structure of skyrmion crystals and stereographic projection approach

Mean-field approach for skyrmion lattice in hexagonal frustrated antiferromagnets

Magnons in the fan phase of anisotropic frustrated antiferromagnets

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