Transverse domain walls in thin ferromagnetic strips

Morini, M.; Muratov, C. B.; Novaga, M.; Slastikov, V. V.

doi:10.48550/arxiv.2106.01338

Cited by 2 publications

(2 citation statements)

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“…The connection of the energy in (5.17) with the latter is obtained by considering the regime of ν 1. Similarly, the regime that leads to (5.17) is different from the one studied by Kohn and Slastikov in [129], which corresponds to specimens of small lateral extent (see also [173]). Also notice that the energy in (5.16) does not support boundary vortices, which appear in the regime studied by Moser [176].…”

Section: Proposition 1 ([76]mentioning

confidence: 82%

“…For thin films, i.e., films whose thickness is smaller than the exchange length ex = 2A/(µ 0 M 2 s ), which is the characteristic length scale at which the exchange and the magnetostatic interactions balance each other, the magnetization vector becomes nearly independent of z, and due to the strong shape anisotropy the magnetization is forced to lie almost entirely in the film plane in magnetically soft materials. There are many possible combinations of the material and geometric parameters that lead to a whole hierarchy of thin film regimes [66,129,176,177,116,126,114,173] (this list is not meant to be exhaustive). For Néel walls in extended films with moderate magnetocrystalline anisotropy, an appropriate model that balances the exchange, anisotropy and the magnetostatic energy as the film thickness vanishes was introduced in [177] (see also [65,39]).…”

Section: Proposition 1 ([76]mentioning

confidence: 99%

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The mathematics of thin structures

Babadjian¹,

Fratta

Fonseca

et al. 2022

Quart. Appl. Math.

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This article offers various mathematical contributions to the behavior of thin films. The common thread is to view thin film behavior as the variational limit of a three-dimensional domain with a related behavior when the thickness of that domain vanishes. After a short review in Section 1 of the various regimes that can arise when such an asymptotic process is performed in the classical elastic case, giving rise to various well-known models in plate theory (membrane, bending, Von Karmann, etc…), the other sections address various extensions of those initial results. Section 2 adds brittleness and delamination and investigates the brittle membrane regime. Sections 4 and 5 focus on micromagnetics, rather than elasticity, this once again in the membrane regime and discuss magnetic skyrmions and domain walls, respectively. Finally, Section 3 revisits the classical setting in a non-Euclidean setting induced by the presence of a pre-strain in the model.

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Section: Proposition 1 ([76]mentioning

confidence: 82%

Section: Proposition 1 ([76]mentioning

confidence: 99%

The mathematics of thin structures

Babadjian¹,

Fratta

Fonseca

et al. 2022

Quart. Appl. Math.

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Spacing Dependent Mechanisms of Remagnetization in 1D System of Elongated Diamond Shaped Thin Magnetic Particles

2022

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Four different switching scenarios have been revealed for a linear chain of flat magnetic particles with long axes perpendicular to the axis of the chain. The diamond-like shape of the particles has been previously shown to be the best to ensure a uniform and stable magnetization within a single particle, that is, to behave as a macrospin. The occurrence of each scenario depends on the distance of the particles in the chain. Whereas long distances favor direct remagnetization of a ferromagnetic configuration “all up” to the one “all down”, a short enough distance allows the system to recover its ground state at a zero field, that is, an antiferromagnetic order. This allows any information stored by a magnetic field to be erased. Vortex-like metastable defects have been noticed for intermediate distances. A longitudinal magnetization component at extremely short distances has been noticed as well as specific systems of domain walls. The hysteresis loops and magnetization maps in the particles have been presented for each scenario. The potential applicability of the findings to the fabrication of memory storage devices has been discussed.

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Transverse domain walls in thin ferromagnetic strips

Cited by 2 publications

References 50 publications

The mathematics of thin structures

The mathematics of thin structures

Spacing Dependent Mechanisms of Remagnetization in 1D System of Elongated Diamond Shaped Thin Magnetic Particles

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