Correlation between spin structure oscillations and domain wall velocities

Bisig, André; Stärk, Martin; Mawass, Mohamad‐Assaad; Moutafis, Christoforos; Rhensius, Jan; Heidler, J.; Büttner, Felix; Noske, Matthias; Weigand, Markus; Eisebitt, Stefan; Tyliszczak, Tolek; Waeyenberge, Bartel Van; Stoll, Hermann; Schütz, Gisela; Kläui, Mathias

doi:10.1038/ncomms3328

Cited by 59 publications

(56 citation statements)

References 35 publications

(54 reference statements)

Supporting

Mentioning

Contrasting

Order By: Relevance

“…During the uniform translation mode the vortex spin structure is known to oscillate. 38,39 This is also observed in micromagnetics simulations and results in the oscillation in roughness energy density seen in Figure 7 before the start of the pinning event. As the vortex structure becomes distorted with increasing magnetic field, the interaction between the vortex core and surface roughness suppresses this oscillation, as seen in Figure 7, which forms the onset of the pinning event.…”

Section: Surface Roughnesssupporting

confidence: 50%

Effective field model of roughness in magnetic nano-structures

Lepadatu

2015

Journal of Applied Physics

View full text Add to dashboard Cite

Articles you may be interested inAn effective field model is introduced here within the micromagnetics formulation, to study roughness in magnetic structures, by considering sub-exchange length roughness levels as a perturbation on a smooth structure. This allows the roughness contribution to be separated, which is found to give rise to an effective configurational anisotropy for both edge and surface roughness, and accurately model its effects with fine control over the roughness depth without the explicit need to refine the computational cell size to accommodate the roughness profile. The model is validated by comparisons with directly roughened structures for a series of magnetization switching and domain wall velocity simulations and found to be in excellent agreement for roughness levels up to the exchange length. The model is further applied to vortex domain wall velocity simulations with surface roughness, which is shown to significantly modify domain wall movement and result in dynamic pinning and stochastic creep effects. V C 2015 AIP Publishing LLC.

show abstract

Section: Surface Roughnesssupporting

confidence: 50%

Effective field model of roughness in magnetic nano-structures

Lepadatu

2015

Journal of Applied Physics

View full text Add to dashboard Cite

show abstract

“…The computation of this term as well as of the effects of pinning may require substantial extension of the model and is beyond the scope of the present paper. Nevertheless, the presence of both the lag (the constant at h = 0 contribution to δ) and the effect of the external field (the field-magnitude-dependent contribution in case of circular ring) does not dismiss the observation that the azimuth of vortices and antivortices during a very complex dynamical evolution of vortex walls in a ring [11] are bound by a constraint due to the fact that the ring is a doubly-connected region.…”

mentioning

confidence: 99%

“…Then we will derive the topological constraints for the case of doubly-connected planar nano-element (a ring). Finally, we analyze recent experimental data on the dynamics of head-to-head magnetic vortex walls in a ring [11] and check the established constraints. We discuss the applicability of our results and draw the conclusions at the end.…”

mentioning

confidence: 99%

“…Thankfully, there is a recent experiment [11] on vortex domain wall dynamics in a microscale permalloy ring, which allows to resolve the positions of vortices (done in the cited paper) and antivortices (done by us) as functions of time, corresponding to the time-varying amplitude and direction of the external field. The computed phase difference δ = (Arg(f ) + −Arg(f ) − ) mod π is shown in Fig.…”

mentioning

confidence: 99%

See 1 more Smart Citation

Topological constraints on positions of magnetic solitons in multiply connected planar magnetic nanoelements

Богатырев¹,

Metlov

2017

Phys. Rev. B

View full text Add to dashboard Cite

Here we consider an interplay between the topology of the magnetization texture (which is a topological soliton, or Skyrmion) in a planar magnetic nano-element and the topology of the element itself (its connectivity). We establish the existence of a set of constraints, coupling these topologies, which are specific for multiply connected elements and are absent in simply-connected case. As an example, a specific constraint is derived for a case of planar ring magnet, relating the angular positions of magnetic vortices and antivortices inside. We analyze the recent experimental data on the vortex magnetic domain walls in the ring to validate our findings. [5] and other devices built on top of spin valves and magnetic tunnel junctions. This is mainly thanks to their compatibility with the existing nano-scale patterning technologies, such as ultra-violet and E-beam lithography. They are also extensively studied using numerical methods of micromagnetics.However, the experiments (including numerical experiments) provide only with the knowledge of how a particular system behaves under a particular conditions, it is the task of theory to generalize the experiments to make the general statements about the nature and properties of particular phenomena. While such general statements in physics always involve approximations (and, therefore, always have limited applicability), they are tremendously useful for planning the experiments, devices, and for a general outlook what can be expected in the studied systems and what, on the contrary, is unexpected and, therefore, deserves special attention.In this work we construct such general statements about properties of magnetization configurations in multiply-connected planar magnetic nanoelements. While the magnetization textures of simply connected elements are relatively well studied, the analytical theory of such a textures in multiply-connected elements have appeared only recently [6]. It expresses the magnetization textures with the help of analytical functions of complex variable and, in particular, the Schottky-Klein prime functions [7,8]. These functions are not easy to evaluate [9], which somewhat diminishes the value of having such a compact analytical expressions. Yet, such a representation opens a possibility for symbolic analysis, making it possible to express some of the properties of magnetization textures in the form of simple constraints. These constraints, which have a topological nature and are directly related to the connectivity of the planar magnetic nano element, are the main subject of this work. While the analysis, leading to them, is approximate, and the observed (measured or computed) magnetization textures may differ locally from what is predicted by our simple analytical theory, it can be hoped that an intricate interplay of the topology of the magnetization textures (which are magnetic topological solitons, or Skyrmions) and the topology of the magnetic nano-element is captured by the present analysis well.In the following we will briefly remind th...

show abstract

“…X-ray microscopy brings new insights to materials researchers from different fields by adding either a 3rd spatial [1,2] or a temporal [3,4] dimension to materials analysis, both at very high resolution. To carry out either scanning or full-field transmission microscopy with X-rays, one has to focus the radiation in some way; yet focusing of especially hard X-rays (HXR), to nano-sized spots, is no easy task.…”

Section: Introductionmentioning

confidence: 99%

Multilayer Fresnel zone plates for high energy radiation resolve 21 nm features at 12 keV

Keskinbora¹,

Robisch²,

Mayer³

et al. 2014

Opt. Express

Self Cite

View full text Add to dashboard Cite

X-ray microscopy is a successful technique with applications in several key fields. Fresnel zone plates (FZPs) have been the optical elements driving its success, especially in the soft X-ray range. However, focusing of hard X-rays via FZPs remains a challenge. It is demonstrated here, that two multilayer type FZPs, delivered from the same multilayer deposit, focus both hard and soft X-rays with high fidelity. The results prove that these lenses can achieve at least 21 nm half-pitch resolution at 1.2 keV demonstrated by direct imaging, and sub-30 nm FWHM (fullpitch) resolution at 7.9 keV, deduced from autocorrelation analysis. Reported FZPs had more than 10% diffraction efficiency near 1.5 keV. ©2014 Optical Society of AmericaOCIS codes: (340.7460) X-ray microscopy; (340.0340) X-ray optics; (340.6720) Synchrotron radiation; (340.7480) X-rays, soft x-rays, extreme ultraviolet (EUV); (050.1965) Diffractive lenses; (220.4241) Nanostructure fabrication. References and links1. J. Vila-Comamala, Y. Pan, J. J. Lombardo, W. M. Harris, W. K. S. Chiu, C. David, and Y. Wang, "Zonedoubled Fresnel zone plates for high-resolution hard X-ray full-field transmission microscopy," J. Synchrotron Radiat. 19(5), 705-709 (2012). 2. E. Zschech, C. Wyon, C. E. Murray, and G. Schneider, "Devices, materials, and processes for nanoelectronics: characterization with advanced x-ray techniques using lab-based and synchrotron radiation sources," Adv. Eng. Mater. 13(8), 811-836 (2011 Schütz, "Fast spin-wave-mediated magnetic vortex core reversal," Phys. Rev. B 86(13), 134426 (2012). 5. J. Kirz and C. Jacobsen, "The history and future of X-ray microscopy," J. Phys. Conf. Ser. 186, 012001 (2009). 6. P. Kirkpatrick and A. V. Baez, "Formation of optical images by X-Rays," J. Opt. Soc. Am. 38(9), 766-774 (1948 International Journal of Optics 31(4), 403-413 (1984). 46. A. A. Michelson, Studies in Optics (Dover Publications, Incorporated, 1995. 47. G. R. Morrison, "Phase contrast and darkfield imaging in x-ray microscopy," Proc. SPIE 1741, 186-193 (1993).

show abstract

Correlation between spin structure oscillations and domain wall velocities

Cited by 59 publications

References 35 publications

Effective field model of roughness in magnetic nano-structures

Effective field model of roughness in magnetic nano-structures

Topological constraints on positions of magnetic solitons in multiply connected planar magnetic nanoelements

Multilayer Fresnel zone plates for high energy radiation resolve 21 nm features at 12 keV

Contact Info

Product

Resources

About