Generation of magnetic skyrmions through pinning effect

Yang, Ji-Chong; Mao, Qingqing; Shi, Yu

doi:10.1142/s0217984919500404

Cited by 2 publications

(3 citation statements)

References 34 publications

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“…The lattice simulation is based on the LLG equation, denoting n r as the local magnetic momentum at site r, the LLG can be written as [20][21][22][23]…”

Section: Lattice Simulationmentioning

confidence: 99%

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The relation between the radii and the densities of magnetic skyrmions

Guo

et al. 2021

Commun. Theor. Phys.

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Compared with the traditional magnetic bubble, a skyrmion has a smaller size, and better stability and therefore is considered as a very promising candidate for future memory devices. When skyrmions are manipulated, erased and created, the density of skyrmions can be varied, however the relationship between the radii and the densities of skyrmions needs more exploration. In this paper, we study this problem both theoretically and by using the lattice simulation. The average radius of skyrmions as a function of material parameters, the strength of the external magnetic field and the density of skyrmions is obtained and verified. With this explicit function, the skyrmion radius can be easily predicted, which is helpful for the future study of skyrmion memory devices.

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“…The lattice simulation is based on the LLG equation, denoting n r as the local magnetic momentum at site r, the LLG can be written as [20][21][22][23]…”

Section: Lattice Simulationmentioning

confidence: 99%

“…The simulation was carried out on the GPU [20] which has a great advantage over CPUs because of the ability of parallel computing of the GPU. Equation ( 1) is numerically integrated by using the fourth-order Runge-Kutta method.…”

Section: Lattice Simulationmentioning

confidence: 99%

The relation between the radii and the densities of magnetic skyrmions

Guo

et al. 2021

Commun. Theor. Phys.

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“…We run the simulation on a 512 × 512 square lattice. The simulation was done by using the GPU [27]. The LLG is numerically integrated by using the fourth-order Runge-Kutta method.…”

Section: Lattice Simulationmentioning

confidence: 99%

Shape of a skyrmion

Yang

Mao

Shi

2019

J. Phys.: Condens. Matter

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We propose a method of determining the shape of a two-dimensional magnetic skyrmion, which can be parameterized as the position dependence of the orientation of the local magnetic moment, by using the expansion in terms of the eigenfunctions of the Schrödinger equation of a harmonic oscillator. A variational calculation is done, up to the next-to-next-to-leading order. This result is verified by a lattice simulation based on Landau-Lifshitz-Gilbert equation. Our method is also applied to the dissipative matrix in the Thiele equation as well as two interacting skyrmions in a bilayer system. and θ NNLO (ρ) can be expressed in terms of these constant numbers and J, B and D. The detailed calculation is given in the Appendix A. It is found that a ≈ 0.2021 + B J (−0.4364 B J + 0.1449 D J 2 ) B J 2 + 0.01388 B J D J 2 − 0.1148 D J 4 , b ≈ −0.09900 + B J (0.2026 B J − 0.06728 D J 2 ) B J 2 + 0.01388 B J D J 2 − 0.1148 D J 4 , ω NNLO ≈ B D 0.9594 B J 2 − 0.02628 B J D J 2 − 0.09704 D J 4 B J 2 + 0.04050 B J D J 2 − 0.1237 D J 4 2 . (16) B J 0.582005 D J 2 − 1.75302 B J B J 2 + 0.013875 B J D J 2 − 0.114832 D J 4 .

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Generation of magnetic skyrmions through pinning effect

Cited by 2 publications

References 34 publications

The relation between the radii and the densities of magnetic skyrmions

The relation between the radii and the densities of magnetic skyrmions

Shape of a skyrmion

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