Helicity of magnetic vortices and skyrmions in soft ferromagnetic nanodots and films biased by stray radial fields

Verba, Roman; Navas, D.; Bunyaev, S. A.; Hierro-Rodríguez, A.; Guslienko, K. Yu.; Иванов, Б. А.; Kakazei, G. N.

doi:10.1103/physrevb.101.064429

Cited by 14 publications

(6 citation statements)

References 66 publications

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“…How to take advantage of these freedom degrees to realize an effective and flexible manipulation remains a crucial physical problem to be resolved. Very recently it was reported that the helicity of dipolarly stabilized skyrmions can be tuned by varying the material parameters and geometry of nanostructure [59,60].…”

Section: Introductionmentioning

confidence: 99%

Controlling the helicity of magnetic skyrmions by electrical field in frustrated magnets

Yao

Dong

2020

New J. Phys.

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The skyrmions generated by frustration in centrosymmetric structures host extra internal degrees of freedom-vorticity and helicity, resulting in distinctive properties and potential functionality, which are not shared by the skyrmions stemming from the Dzyaloshinskii-Moriya interaction in noncentrosymmetric structures. The present work indicates that the magnetism-driven electric polarization carried by skyrmions provides a direct handle for tuning helicity. Especially for the in-plane magnetized skyrmions, the helicity can be continuously rotated and exactly picked by applying an external electric field for both skyrmions and antiskyrmions. The in-plane uniaxial anisotropy is beneficial to this manipulation.

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Section: Introductionmentioning

confidence: 99%

Controlling the helicity of magnetic skyrmions by electrical field in frustrated magnets

Yao

Dong

2020

New J. Phys.

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“…The definition of helicity that we use in this article Equation (5) is the one commonly used in optics and field theory, and can be understood as the sense of screw. This is not the same as the definition often used for magnetic solitons [18]. One important difference is that the latter can be defined for twodimensional objects, while the former needs three spatial dimensions.…”

Section: Introductionmentioning

confidence: 95%

A Scalar Product for Computing Fundamental Quantities in Matter

Fernandez-Corbaton,

Vavilin

2023

Symmetry

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We introduce a systematic way to obtain expressions for computing the amount of fundamental quantities such as helicity and angular momentum contained in static matter, given its charge and magnetization densities. The method is based on a scalar product that we put forward which is invariant under the ten-parameter conformal group in three-dimensional Euclidean space. This group is obtained as the static restriction (frequency ω=0) of the symmetry group of Maxwell equations: The fifteen-parameter conformal group in 3+1 Minkowski spacetime. In an exemplary application, we compute the helicity and angular momentum squared stored in a magnetic Hopfion.

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“…For the skyrmion driven by frustration, the helicity is entirely unlocked and the continuous value from -π to π is allowed [46]. Different methods have been discussed to control the helicity [55][56][57][58][59], and our previous work predicated the tunability of helicity by applying an external electric field [58]. In contrast to the continuous helicity, the conventional vorticity shows discrete integer values, e.g.…”

Section: Introductionmentioning

confidence: 99%

Vector vorticity of skyrmionic texture: An internal degree of freedom tunable by magnetic field

Yao

Dong

2022

Phys. Rev. B

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Different from the skyrmion driven by the Dzyaloshinskii-Moriya interaction in non-centrosymmetric materials, the skyrmionic texture in centrosymmetric magnet may possess the extra internal degrees of freedom, which greatly enrich its morphologies, imply the continuous deformation allowed by topological protection, and enable flexible tunability and potential functionality. To describe the internal degree of freedom to full extent, the conventional integer-valued scalar vorticity is extended into a vector vorticity with continuous rotation allowed. The further simplified vorticity angle, together with helicity angle, represents the whole rotation freedom of spin space. The centrosymmetric magnet with frustration provides a perfect platform for realizing a controllable manipulation on these internal degrees of freedom, where the magnetic field can be applied to tune vorticity continuously in both crystal and isolated forms of skyrmionic texture, and the helicity can be further controlled by electric field. Moreover, the simulation reveals the distinctive dynamic effects related to the vorticity modulation, namely, a straight motion can be generated by rotating magnetic field to tune vorticity, and the vorticity can also be controlled to modulate the dynamics induced by the spin polarized current.

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Helicity of magnetic vortices and skyrmions in soft ferromagnetic nanodots and films biased by stray radial fields

Cited by 14 publications

References 66 publications

Controlling the helicity of magnetic skyrmions by electrical field in frustrated magnets

Controlling the helicity of magnetic skyrmions by electrical field in frustrated magnets

A Scalar Product for Computing Fundamental Quantities in Matter

Vector vorticity of skyrmionic texture: An internal degree of freedom tunable by magnetic field

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