A collective coordinate approach to describe magnetic domain wall dynamics applied to nanowires with high perpendicular anisotropy

Vandermeulen, Jasper; Wiele, Ben Van de; Vansteenkiste, Arne; Waeyenberge, Bartel Van; Dupré, Luc

doi:10.1088/0022-3727/48/3/035001

Cited by 15 publications

(22 citation statements)

References 29 publications

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“…We find that thermal fluctuations result in a diffusive motion of the domain wall independent of the excitation current. These results are understood within the framework of a generalized 1D model 11 where we incorporated temperature and get an analytical expression for the diffusion, in excellent agreement with numerical simulations. This easy inclusion of thermal effects is important for future work where this approach can be applied to the more realistic case of nanowires with imperfections.…”

supporting

confidence: 61%

Thermal effects on transverse domain wall dynamics in magnetic nanowires

Leliaert

Wiele

Vandermeulen

et al. 2015

Applied Physics Letters

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supporting

confidence: 61%

Thermal effects on transverse domain wall dynamics in magnetic nanowires

Leliaert

Wiele

Vandermeulen

et al. 2015

Applied Physics Letters

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“…with the average f taken over any volume of the nanostrip including the DW [13][14][15]. Taking into account that DMI induces edge effects and in-plane fields lead to magnetization canting of the domains, eq.…”

Section: Appendixe Defining the Averaging Windowmentioning

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%

“…On the other hand, micromagnetic simulations which take the full complexity of DW dynamics into account, are hard to interpret. To bridge the gap between both, we recently introduced a semianalytical approach to derive similar equations of motion for the DW which could be interpreted in the context of collective coordinates [13]. 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].…”

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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“…One-dimensional (1D) nanomaterials have been investigated during the past decades focusing on the miniaturization of devices. In particular, 1D nanowires (NWs) have attracted attention due to their application in novel fields such as biomedicine [1,2], spintronics [3,4] or multifunctional devices [5,6]. For example, multisegmented NWs offer the possibility of using each magnetic domain as a storage bit [7,8].…”

Section: Introductionmentioning

confidence: 99%

Magnetic behaviour of multisegmented FeCoCu/Cu electrodeposited nanowires

Núñez

Pérez

Abuín

et al. 2017

J. Phys. D: Appl. Phys.

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Understanding the magnetic behaviour of multisegmented nanowires (NWs) is a major key for the application of such structures in future devices. In this work, magnetic/non-magnetic arrays of FeCoCu/Cu multilayered NWs electrodeposited in nanoporous alumina templates are studied. Contrarily to most reports on multilayered NWs, the magnetic layer thickness was kept constant (30 nm) and only the non-magnetic layer thickness was changed (0 to 80 nm). This allowed us to tune the interwire and intrawire interactions between the magnetic layers in the NW array creating a three-dimensional (3D) magnetic system without the need to change the template characteristics. Magnetic hysteresis loops, measured with the applied field parallel and perpendicular to the NWs' long axis, showed the effect of the non-magnetic Cu layer on the overall magnetic properties of the NW arrays. In particular, introducing Cu layers along the magnetic NW axis creates domain wall pinning nucleation that facilitate the magnetization reversal of the wires, as seen by the decrease in the parallel coercivity and the reduction of the perpendicular saturation field. By further increasing the Cu layer thickness, the interactions between the magnetic segments, both along the NW axis and of neighbouring NWs, decrease, thus rising again the parallel coercivity and the perpendicular saturation field. This work shows how one can easily tune the parallel and perpendicular magnetic properties of a 3D magnetic layer system by adjusting the non-magnetic layer thickness.

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A collective coordinate approach to describe magnetic domain wall dynamics applied to nanowires with high perpendicular anisotropy

Cited by 15 publications

References 29 publications

Thermal effects on transverse domain wall dynamics in magnetic nanowires

Thermal effects on transverse domain wall dynamics in magnetic nanowires

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

Magnetic behaviour of multisegmented FeCoCu/Cu electrodeposited nanowires

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