Theory of magnetic domains in uniaxial thin films

Virot, François; Favre, Luc; Hayn, R.; Kuz’min, M. D.

doi:10.1088/0022-3727/45/40/405003

Cited by 48 publications

(41 citation statements)

References 25 publications

(48 reference statements)

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“…Note that μ 0 M 2 s /2 is sometimes called K d , the stray field energy coefficient. Strong stripes, where the magnetization direction remains perpendicular to the surface for all values of the film thickness occur for Q > 1 [6,16], and our films are clearly far from that regime.…”

Section: B Fmr and Magnetometrymentioning

confidence: 71%

Emergence of the stripe-domain phase in patterned permalloy films

et al. 2016

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The occurrence of stripe domains in ferromagnetic permalloy (Py = Fe 20 Ni 80 ) is a well-known phenomenon which has been extensively observed and characterized. This peculiar magnetic configuration appears only in films with a thickness above a critical value (d cr ), which is strongly determined by the sputtering conditions (i.e., deposition rate, temperature, magnetic field). So far, d cr has usually been presented as the boundary between the homogeneous (H) and stripe-domain (SD) regime, respectively, below and above d cr . In this work we study the transition from the H to the SD regime in thin films and microstructured bridges of Py with different thicknesses. We find there is an intermediate regime, over a quite significant thickness range below d cr , which is signaled in confined structures by a quickly changing domain-wall configuration and by a broadening of the magnetoresistance dip at the coercive field. We call this the emerging stripe-domain (ESD) regime. The transition from the ESD to the SD regime is accompanied by a sharp increase of the magnetoresistance ratio at the thickness where stripes appear in MFM.

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Section: B Fmr and Magnetometrymentioning

confidence: 71%

Emergence of the stripe-domain phase in patterned permalloy films

et al. 2016

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“…The wall energy model is valid only for a bulk material with sharp domain walls, i.e., when ∆ W and ∆ d, where ∆ is the domain wall width and d is the film thickness. There exist a few corrections to this model, but they only involve the surface stray field energy of a stripe domain state with simplistic linear 15 and sine domain walls 16 . However, studies for stripes with a realistic profile are still absent in the literature.…”

Section: Introductionmentioning

confidence: 99%

Accurate model of the stripe domain phase of perpendicularly magnetized multilayers

2017

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We develop an accurate analytical model for the stray field energy of parallel stripe domains in multilayer films with perpendicular magnetic anisotropy, taking into account the effects of finite domain wall width and variable domain wall angle. By minimizing the total energy we predict the domain width, the domain wall width, and the domain wall angle for given material parameters. We show how the domain wall width depends on the film thickness and the domain size. We explore the domain wall angle as a function of Dzyaloshinskii-Moriya interaction (DMI) and derive a threshold value D thr beyond which the system is in a Néel state. We find that thicker films require larger values of DMI to stabilize the Néel state. Finally, we test the effective medium theory, which allows treating multilayers as effective single layer films and provide criteria for the applicability of the model in the presence of both surface and volume stray fields. Our results are supported by micromagnetic simulations, which indicate that the predictions are still precise even if the system is in a labyrinthine domain state. Using our model, otherwise inaccessible magnetic parameters, such as the DMI constant or the exchange constant, can now be obtained straight-forwardly from static measurements of the stripe domain width in such films.

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“…This change might be attributed to large size of the skyrmion and related edge effects or the large domain wall width related to the low value of Q factor. 34,35 Interestingly, the frequency of the breathing mode has a local minimum at every transformation of the magnetization configuration (between vortex and Bloch-like skyrmion, Bloch-like and Néel-like skyrmion, and Néel-like skyrmion and the vortex), while it is weakly dependent on the changes of Q for the Néel-like skyrmion. Fig.…”

Section: Fig 3 (Color Online)mentioning

confidence: 99%

Spin excitation spectrum in a magnetic nanodot with continuous transitions between the vortex, Bloch-type skyrmion, and Néel-type skyrmion states

2017

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We study spin-wave excitations in a circular ferromagnetic nanodot in different inhomogeneous, topologically non-trivial magnetization states, specifically, vortex and skyrmion states. Gradual change in the strength of the out-of-plane magnetic anisotropy and the Dzyaloshinskii-Moriya exchange interaction leads to continuous phase transitions between different stable magnetic configurations and allows for mapping of dynamic spin modes in and between the vortex, Bloch-type skyrmion and Néel-type skyrmion states. Our study elucidates the connections between gyrotropic modes, azimuthal spin waves and breathing modes in various stable magnetization states and helps to understand the rich spin excitation spectrum on the skyrmion background.

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Theory of magnetic domains in uniaxial thin films

Cited by 48 publications

References 25 publications

Emergence of the stripe-domain phase in patterned permalloy films

Emergence of the stripe-domain phase in patterned permalloy films

Accurate model of the stripe domain phase of perpendicularly magnetized multilayers

Spin excitation spectrum in a magnetic nanodot with continuous transitions between the vortex, Bloch-type skyrmion, and Néel-type skyrmion states

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