A theory on skyrmion size

Wang, X. S.; Yuan, H. Y.; Wang, X. R.

doi:10.1038/s42005-018-0029-0

Cited by 297 publications

(227 citation statements)

References 45 publications

(127 reference statements)

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“…This semi-analytical result (from equations 11 and 12 in Ref. 41) slightly underestimates the skyrmion radius 41 , in part because it assumes the skyrmion radius is much larger than the width of its enclosing wall, nevertheless it correctly reproduces the skyrmion size dependence with B z and agrees reasonably well with the skyrmion sizes shown in Ref. 7.…”

Section: A Size Dependence and Boundary Conditionssupporting

confidence: 75%

“…9(a) and (b), as a dashed line, an estimation of the skyrmion radius as a function of the magnetic field, based on the continuum theory proposed in Ref. 41, which depends on the skyrmion radius and the width of the wall separating the skyrmion core from the ferromagnetic background. This semi-analytical result (from equations 11 and 12 in Ref.…”

Section: A Size Dependence and Boundary Conditionsmentioning

confidence: 99%

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Nanoscale magnetic skyrmions and target states in confined geometries

Cortés‐Ortuño

Romming²,

Beg

et al. 2019

Phys. Rev. B

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Research on magnetic systems with broken inversion symmetry has been stimulated by the experimental proof of particle-like configurations known as skyrmions, whose non-trivial topological properties make them ideal candidates for spintronic technology. In this class of materials, Dzyaloshinskii-Moriya interactions (DMI) are present, which favor the stabilization of chiral configurations. Recent advances in material engineering have shown that in confined geometries it is possible to stabilize skyrmionic configurations at zero field. Moreover, it has been shown that in systems based on Pd/Fe bilayers on top of Ir(111) surfaces skyrmions can be as small as a few nanometres in diameter. In this work we present scanning tunneling microscopy measurements of small Pd/Fe and Pd2/Fe islands on Ir(111) that exhibit a variety of different spin textures, which can be reproduced using discrete spin simulations. These configurations include skyrmions and skyrmion-like states with extra spin rotations such as the target state, which have been of interest due to their promising dynamic properties. Furthermore, using simulations we analyze the stability of these skyrmionic textures as a function of island size, applied field and boundary conditions of the system. An understanding of the parameters and conditions affecting the stability of these magnetic structures in confined geometries is crucial for the development of energetically efficient and optimally sized skyrmion-based devices.

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Section: A Size Dependence and Boundary Conditionssupporting

confidence: 75%

Section: A Size Dependence and Boundary Conditionsmentioning

confidence: 99%

Nanoscale magnetic skyrmions and target states in confined geometries

Cortés‐Ortuño

Romming²,

Beg

et al. 2019

Phys. Rev. B

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“…Its distinctive feature is the topological winding number: the magnetization of each skyrmion winds once in all possible directions. Arguably, the most fundamental property of a skyrmion is its stability: it is protected by an energy barrier from its destruction by thermal fluctuations [7][8][9][10] . The size of this energy barrier is therefore an important quantity as it determines in what sense a skyrmion is "topologically protected".…”

Section: Introductionmentioning

confidence: 99%

Universality of annihilation barriers of large magnetic skyrmions in chiral and frustrated magnets

2019

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Magnetic skyrmions are whirls in the magnetization whose topological winding number promises stability against thermal fluctuations and defects. They can only decay via singular spin configurations. We analyze the corresponding energy barriers of skyrmions in a magnetic monolayer for two distinct stabilization mechanisms, i.e., Dzyaloshinskii-Moriya interaction (DMI) and competing interactions. Based on our numerically calculated collapse paths on an atomic lattice, we derive analytic expressions for the saddle point textures and energy barriers of large skyrmions. The sign of the spin stiffness and the sign of 4th-order derivative terms in the classical field theory determines the nature of the saddle point and thus the height of the energy barrier. In the most common case for DMI-stabilized skyrmions, positive stiffness and negative 4th-order term, the saddle point energy approaches a universal upper limit described by an effective continuum theory. For skyrmions stabilized by frustrating interactions, the stiffness is negative and the energy barrier arises mainly from the core of a singular vortex configuration. arXiv:1907.12174v1 [cond-mat.str-el]

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“…Here, we take the ansatz Θ(r) = 2 arctan[ sinh(R/w) sinh(r/w) ] proposed recently, 39 with the skyrmion radius R = πD A 16AK 2 u −π 2 D 2 Ku and the skyrmion width w = πD 4Ku . 39 In Fig. 2, R, w, D, F are shown as the functions of DMI strength D by fixing the material parameters A = 15 pJ/m and K u = 0.8 MJ/m 3 .…”

Section: Theoretical Modelmentioning

confidence: 99%

“…Therefore, we can take the proposed model in Ref. 39 to approximately estimate the profile of the skyrmion.…”

Section: A Linear Modulationmentioning

confidence: 99%

Skyrmion Hall effect with spatially modulated Dzyaloshinskii–Moriya interaction

et al. 2019

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The dynamics of magnetic skyrmion driven by spin-polarized current is theoretically studied in the chiral ferromagnetic film with spatially modulated Dzyaloshinskii-Moriya interaction. Three cases including linear, sinusoidal, and periodic rectangular modulations have been considered, where the increase, decrease, and the periodic modification of the size and velocity of the skyrmion have been observed in the microscopic simulations. These phenomena are well explained by the Thiele equation, where an effective force on the skyrmion is induced by the inhomogeneous Dzyaloshinskii-Moriya interaction. The results here suggest that the dynamics of skyrmion can be manipulated by artificially tuning the Dzyaloshinskii-Moriya interaction in chiral ferromagnetic film with material engineering methods, which will be useful to design skyrmion-based spintronics devices.

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A theory on skyrmion size

Cited by 297 publications

References 45 publications

Nanoscale magnetic skyrmions and target states in confined geometries

Nanoscale magnetic skyrmions and target states in confined geometries

Universality of annihilation barriers of large magnetic skyrmions in chiral and frustrated magnets

Skyrmion Hall effect with spatially modulated Dzyaloshinskii–Moriya interaction

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