The effect of Dzyaloshinskii–Moriya interaction on field-driven domain wall dynamics analysed by a semi-analytical approach

Vandermeulen, Jasper; Nasseri, S. Ali; Wiele, Ben Van de; Durin, Gianfranco; Waeyenberge, Bartel Van; Dupré, Luc

doi:10.1088/0022-3727/49/46/465003

Cited by 13 publications

(21 citation statements)

References 32 publications

(61 reference statements)

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“…Alternatively, a semi-analytical model can be developed [16], based on averaging the LLG-equation. To this end, the locally varying effective field (3) is first properly averaged over the DW volume and substituted in the LLG equation.…”

Section: The Semi-analytical Approachmentioning

confidence: 99%

“…Then, the LLG equation is again averaged over the domain wall volume to obtain equations of motion with DW variables which are quantified by extracting them from simulations. Compared to our initial model [16], the semi-analytical approach is now improved to properly treat the effects of the DW asymmetry on the DW dynamics. In AppendixB, the semi-analytical approach and the derivation of the equations of motion are discussed in detail.…”

Section: The Semi-analytical Approachmentioning

confidence: 99%

“…While this results in the most accurate description of DW dynamics, more quantitative insight in DW dynamics is provided by theoretical models which describe the DW in terms of a limited number of variables. Here, we distinguish between Lagrangian-based [8][9][10][11][12] and semi-analytical [13][14][15][16] collective coordinate models (CCMs).…”

Section: Introductionmentioning

confidence: 99%

“…The earliest versions were able to succesfully describe DW dynamics in in-plane magnetized and PMA nanostrips, taking into account effects due to the finite temperature and disorder [13][14][15]. More recently, this approach was extended to account for DMI [16].…”

Section: Introductionmentioning

confidence: 99%

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Comparison between collective coordinate models for domain wall motion in PMA nanostrips in the presence of the Dzyaloshinskii-Moriya interaction

Vandermeulen

Nasseri

Wiele

et al. 2018

Journal of Magnetism and Magnetic Materials

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Lagrangian-based collective coordinate models for magnetic domain wall (DW) motion rely on an ansatz for the DW profile and a Lagrangian approach to describe the DW motion in terms of a set of time-dependent collective coordinates: the DW position, the DW magnetization angle, the DW width and the DW tilting angle. Another approach was recently used to derive similar equations of motion by averaging the Landau-Lifshitz-Gilbert equation without any ansatz, and identifying the relevant collective coordinates afterwards. In this paper, we use an updated version of the semi-analytical equations to compare the Lagrangian-based collective coordinate models with micromagnetic simulations for field- and STT-driven (spin-transfer torque-driven) DW motion in Pt/CoFe/MgO and Pt/Co/AlOx nanostrips. Through this comparison, we assess the accuracy of the different models, and provide insight into the deviations of the models from simulations. It is found that the lack of terms related to DW asymmetry in the Lagrangian-based collective coordinate models significantly contributes to the discrepancy between the predictions of the most accurate Lagrangian-based model and the micromagnetic simulations in the field-driven case. This is in contrast to the STT-driven case where the DW remains symmetric

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Section: The Semi-analytical Approachmentioning

confidence: 99%

Section: The Semi-analytical Approachmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Comparison between collective coordinate models for domain wall motion in PMA nanostrips in the presence of the Dzyaloshinskii-Moriya interaction

Vandermeulen

Nasseri

Wiele

et al. 2018

Journal of Magnetism and Magnetic Materials

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show abstract

“…This DW tilt was shown to depend on the DMI and field strengths. It was followed by several more attempts to investigate this phenomena theoretically [25,26] and multiple experimental studies [17,18,21]. However, up to now, there is still lack of a unifying theory of the DW tilt and its dependence on the in-plane magnetic field.…”

Section: Introductionmentioning

confidence: 99%

Theory of the Dzyaloshinskii domain-wall tilt in ferromagnetic nanostrips

et al. 2017

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General rightsThis document is made available in accordance with publisher policies. Please cite only the published version using the reference above. Full terms of use are available: http://www.bristol.ac.uk/pure/about/ebr-terms PHYSICAL REVIEW B 96, 134417 (2017) We present an analytical theory of domain-wall tilt due to a transverse in-plane magnetic field in a ferromagnetic nanostrip with out-of-plane anisotropy and Dzyaloshinskii-Moriya interaction (DMI). The theory treats the domain walls as one-dimensional objects with orientation-dependent energy, which interact with the sample edges. We show that under an applied field the domain wall remains straight, but tilts at an angle to the direction of the magnetic field that is proportional to the field strength for moderate fields and sufficiently strong DMI. Furthermore, we obtain a nonlinear dependence of the tilt angle on the applied field at weaker DMI. Our analytical results are corroborated by micromagnetic simulations.

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On the Dynamics of Transverse Domain Walls in Ferromagnetic Heterostructures with Nonlinear Dissipative Effects

Dwivedi

2020

Mathematical Modelling and Scientific Computing With Applications

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The effect of Dzyaloshinskii–Moriya interaction on field-driven domain wall dynamics analysed by a semi-analytical approach

Abstract: The effect of Dzyaloshinskii-Moriya interaction on field-driven domain wall dynamics analysed by a semianalytical approach Publisher:

Cited by 13 publications

References 32 publications

Comparison between collective coordinate models for domain wall motion in PMA nanostrips in the presence of the Dzyaloshinskii-Moriya interaction

Comparison between collective coordinate models for domain wall motion in PMA nanostrips in the presence of the Dzyaloshinskii-Moriya interaction

Theory of the Dzyaloshinskii domain-wall tilt in ferromagnetic nanostrips

On the Dynamics of Transverse Domain Walls in Ferromagnetic Heterostructures with Nonlinear Dissipative Effects

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