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

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Abstract
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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Chicago
Vandermeulen, Jasper, S.A. Nasseri, Ben Van de Wiele, G. Durin, Bartel Van Waeyenberge, and Luc Dupré. 2018. “Comparison Between Collective Coordinate Models for Domain Wall Motion in PMA Nanostrips in the Presence of the Dzyaloshinskii-Moriya Interaction.” Journal of Magnetism and Magnetic Materials  449: 337–352.
APA
Vandermeulen, Jasper, Nasseri, S. A., Van de Wiele, B., Durin, G., Van Waeyenberge, B., & Dupré, L. (2018). Comparison between collective coordinate models for domain wall motion in PMA nanostrips in the presence of the Dzyaloshinskii-Moriya interaction. JOURNAL OF MAGNETISM AND MAGNETIC MATERIALS  , 449, 337–352.
Vancouver
1.
Vandermeulen J, Nasseri SA, Van de Wiele B, Durin G, Van Waeyenberge B, Dupré L. Comparison between collective coordinate models for domain wall motion in PMA nanostrips in the presence of the Dzyaloshinskii-Moriya interaction. JOURNAL OF MAGNETISM AND MAGNETIC MATERIALS  . Elsevier BV; 2018;449:337–52.
MLA
Vandermeulen, Jasper, S.A. Nasseri, Ben Van de Wiele, et al. “Comparison Between Collective Coordinate Models for Domain Wall Motion in PMA Nanostrips in the Presence of the Dzyaloshinskii-Moriya Interaction.” JOURNAL OF MAGNETISM AND MAGNETIC MATERIALS  449 (2018): 337–352. Print.
@article{8535269,
  abstract     = {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.},
  author       = {Vandermeulen, Jasper and Nasseri, S.A. and Van de Wiele, Ben and Durin, G. and Van Waeyenberge, Bartel and Dupr{\'e}, Luc},
  issn         = {0304-8853},
  journal      = {JOURNAL OF MAGNETISM AND MAGNETIC MATERIALS         },
  language     = {eng},
  pages        = {337--352},
  publisher    = {Elsevier BV},
  title        = {Comparison between collective coordinate models for domain wall motion in PMA nanostrips in the presence of the Dzyaloshinskii-Moriya interaction},
  url          = {http://dx.doi.org/10.1016/j.jmmm.2017.10.008},
  volume       = {449},
  year         = {2018},
}

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