2004
DOI: 10.1007/s00205-004-0329-2
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Boundary Vortices for Thin Ferromagnetic Films

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Cited by 39 publications
(66 citation statements)
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“…In micromagnetics, for example, one is interested in thermally activated switching of the magnetization. There is a regime -involving submicron-scale, soft thin films, commonly used for magnetoresistive memory devices -in which the magnetic behavior is dominated by "boundary vortices" [24,28,29]. We wonder whether thermally activated switching in this regime can be described by minimizing a suitable action involving the nucleation and motion of boundary vortices.…”
Section: Discussionmentioning
confidence: 99%
“…In micromagnetics, for example, one is interested in thermally activated switching of the magnetization. There is a regime -involving submicron-scale, soft thin films, commonly used for magnetoresistive memory devices -in which the magnetic behavior is dominated by "boundary vortices" [24,28,29]. We wonder whether thermally activated switching in this regime can be described by minimizing a suitable action involving the nucleation and motion of boundary vortices.…”
Section: Discussionmentioning
confidence: 99%
“…The next lemma is a generalization of lemma 4.3 in [16]. It is the key lemma for the proof of Theorem 2.1.…”
Section: Using (28) We Estimatementioning
confidence: 94%
“…Another result from [16] we will need is concerned with the behavior of the initial data. Choose a function ω ∈ C ∞ ([0, ∞)) with 0 ≤ ω ≤ 1, ω(s) = s for 0 ≤ s ≤ , such that for any δ ∈ (0, e −e ], two points x 1δ , x 2δ ∈ ∂ can be found with the following properties:…”
Section: The Problem and Some Of Its Propertiesmentioning
confidence: 99%
“…15,16,17,18,19,20,21. The important length scale is the magnetic exchange length ℓ = A/4πM 2 S where A is the exchange constant and M S is the saturation magnetization.…”
Section: Introductionmentioning
confidence: 99%
“…In the case h/R ≪ 1 and ℓ 2 ≪ 2h R | ln(h/2R)| the magnetization develops edge defects, including fractional vortices. 13,20,21 This problem has a boundary constraint and an interior penalty. It is relevant for typical Permalloy (Ni 80 Fe 20 , Py) disks where we have h ∼ 20nm, 2R ∼ 100nm and ℓ ∼ 5.3nm.…”
Section: Introductionmentioning
confidence: 99%