2015
DOI: 10.1088/1751-8113/48/12/125202
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Curvature effects in statics and dynamics of low dimensional magnets

Abstract: Abstract. We develop an approach to treat magnetic energy of a ferromagnet for arbitrary curved wires and shells on the assumption that the anisotropy contribution much exceeds the dipolar and other weak interactions. We show that the curvature induces two effective magnetic interactions: effective magnetic anisotropy and effective Dzyaloshinskii-like interaction. We derive an equation of magnetisation dynamics and propose a general static solution for the limit case of strong anisotropy. To illustrate our app… Show more

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Cited by 110 publications
(164 citation statements)
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“…However, because of the considered dimensions, this difference is small, and we will adopt λ = 1/4 to describe magnetostatic contributions to the energy [8,17,20]. In terms of the adopted parametrization, the exchange energy density is given by [17,27] …”
Section: Theoretical Modelmentioning
confidence: 99%
“…However, because of the considered dimensions, this difference is small, and we will adopt λ = 1/4 to describe magnetostatic contributions to the energy [8,17,20]. In terms of the adopted parametrization, the exchange energy density is given by [17,27] …”
Section: Theoretical Modelmentioning
confidence: 99%
“…either external or internal field. Recent theoretical and experimental analyzes reveal that in addition to exchange interaction the 3D curved and torsional magnets can induce two effective magnetic interactions: curvatureinduced effective anisotropy and effective DMI [30][31][32]. So the adjunction of these two energies will have a significant impact on the stability and dynamical properties of skyrmions.…”
Section: Introductionmentioning
confidence: 99%
“…The first term in (A4a) is the exchange density E ex = i=x,y,z (∂ i m) 2 with A being exchange constant. In the curvilinear reference frame exchange energy can be written as [50][51][52]…”
Section: Discussionmentioning
confidence: 99%