Domain Walls in Nanostripes of Cubic-Anisotropy Ferromagnetic Materials

Janutka, Andrzej; Gawroński, P.

doi:10.1109/tmag.2014.2323342

Cited by 11 publications

(18 citation statements)

References 25 publications

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“…The dipolar interaction between the spins will not be included in the model. It has been considered in other, quite distinct (magnetically very soft) systems, where magneto-crystalline anisotropy in the frustrated system has been ignored and the so-called micromagnetic limit has been assumed [32,[40][41][42]. There, the micromagnetic pole-avoidance principle for bulk and boundary alike has been implemented in order to argue for the pinning of the spin structure at a point at the interface of a twodimensional system.…”

Section: The Analytical Model and Resultsmentioning

confidence: 99%

“…In particular, it happens to be the elliptical sine-Gordon equation in (2+0) dimensions. It has been used previously in the micromagnetic context of describing the magnetic domain walls in ferromagnetic nano-stripes [41,42]. The equation is a natural generalization of the ordinary nonlinear differential equation that emerges from the variational minimization of the well-known cases of the one-dimensional Bloch and Neel walls, that equation itself being mathematically identical with the nonlinear equation of motion of the pendulum [46].…”

Section: Two-fold Magnetic Anisotropy Casementioning

confidence: 99%

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General nature of the step-induced frustration at ferromagnetic/antiferromagnetic interfaces: topological origin and quantitative understanding

Chen

Sun

et al. 2019

New J. Phys.

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We present a study of the magnetic configuration due to step-induced magnetic frustration at ferromagnetic/antiferromagnetic (FM/AFM) interfaces. At a substrate monatomic step edge, a 180°d omain wall emerges. A physically appealing form for the thickness dependence of the domain wall width is obtained. It follows a universal behaviour in the whole thickness range, from ultrathin film to bulk and in both cases of an AFM domain wall on top of the FM layer and a FM domain wall on top of an AFM substrate. In the ultrathin limit of the capping layer, the domain wall grows linearly with the slope depending only on the ratio of the inter-layer and intra-layer Heisenberg exchange constants, regardless of the presence of magneto-crystalline anisotropy. These findings are in good agreement with previous experimental observations. As the thickness grows beyond the ultrathin regime, the corresponding thickness dependence departs from linearity and tends to its bulk value. The analytical insights are supported by conclusive numerical simulations of two independent varieties, namely, the Monte Carlo method which also includes the growth kinetics and the object oriented micromagnetic framework based micromagnetic simulations. While the quantitative details of the study are naturally dependent on the specific material parameters of the complex magnetic system, the global features of the spin texture in the capping layer are dictated by the topological step-edge defect. The latter in itself is quantifiable by a winding number of  . z J J J J DW 0 s d s d 4 4 2 2| This again proves that the domain wall width at the ultrathin limit is independent of the strength and type of magneto-crystalline anisotropy. -J J 5 10 Jm , s d 13 1 and =´-K 2.56 10 J m . 4 3 Figure 5(a) presents the comparison of the thickness dependent domain wall boundary for two-fold and four-fold magnetic anisotropy cases utilizing the same = = J J J J 4 , 4 , s s d d 0 0 and = K K 0 where = = J J Proof: We denote the spin distribution in figure 1(a) as j, while that in figure 1(b) as j. The most important difference between the two systems is the interlayer exchange coupling constant, J d for the frustrated FM system and = -J J d d for the frustrated AFM system. Other parameters are the same, i.e. = J J , s s = K K.

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Section: The Analytical Model and Resultsmentioning

confidence: 99%

Section: Two-fold Magnetic Anisotropy Casementioning

confidence: 99%

General nature of the step-induced frustration at ferromagnetic/antiferromagnetic interfaces: topological origin and quantitative understanding

Chen

Sun

et al. 2019

New J. Phys.

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“…Basing on a 2D model of reference [9], the estimated in Appendix A width of the π/2 DW has been renormalized by the factor of two; ∆ ≈ 2 −A/K 1 which leads to ∆ ≈ 66nm for Fe 3 O 4 , and the DW mobility v(H)/H = γµ 0 ∆/α = 1.04m 2 /As. This value coincides with the mobility determined from figure 2a for the π/2 DW in the aspect-ratio w/τ = 30 nanostripe.…”

Section: Dw Mobilitymentioning

confidence: 99%

“…In the previous work, we have performed the micromagnetic simulations of the DW formation in the nanostripes made of cubic-anisotropy materials and we have developed an analytical description of the DW structures [9]. The density of the crystalline-anisotropy energy of the relevant cubic ferromagnets takes the form…”

Section: Introductionmentioning

confidence: 99%

Driving large-velocity propagation of ferromagneticπ/2 domain walls in nanostripes of cubic-anisotropy materials

Janutka¹,

Gawroński²,

Ruszała³

2015

J. Phys. D: Appl. Phys.

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Abstract. We study the externally-driven motion of the domain walls (DWs) of the π/2 type in (in-the-plane ordered) nanostripes with the crystalline cubic anisotropy. Such DWs are much narrower than the transverse and vortex π DWs in the soft-magnetic nanostripes while they propagate much faster, thus, enabling dense packing of magnetization domains and high speed processing of the manydomain states. The viscous current-driven motion of the DW with the velocity above 1000m/s under the electric current of the density ∼ 10 12 A/m 2 is predicted to take place in the nanostripes of the magnetite. Also, the viscous motion with the velocity above 700m/s can be driven by the magnetic field according to our solution to a 1D analytical model and the micromagnetc simulations. Such huge velocities are achievable in the nanostripes of very small cross-sections (only 100nm width and 10nm thickness). The fully stress driven propagation of the DW in the nanostripes of cubic magnetostrictive materials is predicted as well. The strength of the DW pinning to the stripe notches and the thermal stability of the magnetization during the current flow are addressed.

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“…Switching between these two stable states is driven by a single domain‐wall propagation along the entire microwire. This is why bistable microwires with positive magnetostriction are ideal materials to study of single domain‐wall dynamics on the macroscopic scale .…”

Section: Introductionmentioning

confidence: 99%

Study of the single domain‐wall structure in glass‐coated microwires

Varga

Klein

Jiménez

et al. 2015

Physica Status Solidi (a)

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We present the complex study of the domain‐wall structure in glass‐coated microwires using different methods based on the application of transversal and circular magnetic fields. The results can be understood in terms of two possible structures of domain walls being transversal at low fields and vortex at high fields. Moreover, it is shown that a vortex domain wall does not nucleate at the beginning of propagation, but it is transformed from a transversal domain wall after its depinning.

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Domain Walls in Nanostripes of Cubic-Anisotropy Ferromagnetic Materials

Cited by 11 publications

References 25 publications

General nature of the step-induced frustration at ferromagnetic/antiferromagnetic interfaces: topological origin and quantitative understanding

General nature of the step-induced frustration at ferromagnetic/antiferromagnetic interfaces: topological origin and quantitative understanding

Driving large-velocity propagation of ferromagneticπ/2 domain walls in nanostripes of cubic-anisotropy materials

Study of the single domain‐wall structure in glass‐coated microwires

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