Domains and Domain Walls in Soft Magnetic Materials, Mostly

Miltat, J.

doi:10.1007/978-94-015-8263-6_5

Cited by 23 publications

(7 citation statements)

References 84 publications

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“…If we suppose that the domain is a cylinder B 2 × R, we can consider a magnetic moment per unit volume invariant by translations parallel to the z-axis (see [19]). In this case we work with maps deÿned on a two dimensional domain.…”

Section: Statement Of the Resultsmentioning

confidence: 99%

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Regularity for critical points of a non local energy

Carbou

1997

Calculus of Variations and Partial Differential Equations

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We study the regularity of critical points of an energy which stems from micromagnetism theory. First we show that in dimension two critical points are smooth in B 2 . In the three dimensional case we prove that the stationary critical points of the energy are smooth except in a subset of one dimensional Hausdor measure zero. The particularity of this work is the non local character of one term of the energy.

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Section: Statement Of the Resultsmentioning

confidence: 99%

“…In the micromagnetism theory, presented by J. Miltat in [19] and by W.F. Brown in [6], a soft magnetic material is characterized by a spontaneous magnetization deÿned by a magnetic moment per unit volume denoted M (x).…”

Section: Micromagnetism Theorymentioning

confidence: 99%

Regularity for critical points of a non local energy

Carbou

1997

Calculus of Variations and Partial Differential Equations

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“…We calculate the derivative of θ t (x) with respect to x at x = 0 as follows 6 ) where in the last step we used the fact that θ ix (0) < 0. It then follows from (B 6) that lim…”

Section: Direct Calculation Then Givesmentioning

confidence: 99%

“…At present, the structure of the Néel wall is rather well understood. Within the framework of micromagnetic modeling, the overall physical picture has been summarized in books [1] and [13] (see also [11,16,18,21], etc.). Experimental observations of the one-dimensional Néel wall profiles can be found in [2,14,22].…”

Section: Introductionmentioning

confidence: 99%

Uniqueness of one-dimensional Néel wall profiles

Muratov

Yan

2016

Proc. R. Soc. A.

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We study the domain wall structure in thin uniaxial ferromagnetic films in the presence of an in-plane applied external field in the direction normal to the easy axis. Using the reduced one-dimensional thin-film micromagnetic model, we analyse the critical points of the obtained non-local variational problem. We prove that the minimizer of the one-dimensional energy functional in the form of the Néel wall is the unique (up to translations) critical point of the energy among all monotone profiles with the same limiting behaviour at infinity. Thus, we establish uniqueness of the one-dimensional monotone Néel wall profile in the considered setting. We also obtain some uniform estimates for general one-dimensional domain wall profiles.

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“…However, the presence of the perpendicular magnetic anisotropy lowers the total energy density of the magnetization inside the vortex core slightly, since the spins inside the vortex point along the magnetocrystalline easy axis, thus lowering their anisotropy energy. Close to the critical diameter of 60 nm (for a dot thickness of 5 nm), this gain in energy is most pronounced, since the relative volume fraction of the vortex is large (vortex diameter of 30 nm [72,73]). This stabilizes the vortex state at smaller diameters and as a consequence the critical diameter for the transition into a single-domain state is pushed to lower values as compared to dots with zero magnetic anisotropy (figure 11).…”

Section: In-plane Circular Dotsmentioning

confidence: 99%

The defining length scales of mesomagnetism: a review

Dennis

Borges

Buda

et al. 2002

J. Phys.: Condens. Matter

146

108

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This review is intended as an introduction to mesomagnetism, with an emphasis on what the defining length scales and their origins are. It includes a brief introduction to the mathematics of domains and domain walls before examining the domain patterns and their stability in 1D and 2D confined magnetic structures. This is followed by an investigation of the effects of size and temperature on confined magnetic structures. Then, the relationship between mesomagnetism and the developing field of spin electronics is discussed. In particular, the various types of magnetoresistance, with an emphasis on the theory and applications of giant magnetoresistance and tunnelling magnetoresistance, are studied. Single electronics are briefly examined before concluding with an outlook on future developments in mesomagnetism.

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Domains and Domain Walls in Soft Magnetic Materials, Mostly

Cited by 23 publications

References 84 publications

Regularity for critical points of a non local energy

Regularity for critical points of a non local energy

Uniqueness of one-dimensional Néel wall profiles

The defining length scales of mesomagnetism: a review

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