2015 # Torsion-induced effects in magnetic nanowires

**Abstract:** Magnetic helix wire is one of the most simple magnetic systems which manifest properties of both curvature and torsion. There exist two equilibrium states in the helix wire with easy-tangential anisotropy: a quasi-tangential magnetization distribution in case of relatively small curvatures and torsions, and an onion state in opposite case. In the last case the magnetization is close to tangential one, deviations are caused by the torsion and curvature. Possible equilibrium magnetization states in the helix mag…

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(93 citation statements)

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“…The helicoid ribbon has zero effective curvature but finite torsion, which provides a paradigmatic model for studying purely torsion-induced effects. Similar to a microhelix structure [17], a geometry-induced effective DzyaloshinskiiMoriya interaction is a source of coupling between the helicoid chirality and the magnetochirality, which essentially influences both magnetization statics and dynamics. The emergent magnetic field generated by the torsion breaks mirror symmetry, so that the properties of magnetic excitations in different spatial directions is not identical.…”

confidence: 99%

“…The helicoid ribbon has zero effective curvature but finite torsion, which provides a paradigmatic model for studying purely torsion-induced effects. Similar to a microhelix structure [17], a geometry-induced effective DzyaloshinskiiMoriya interaction is a source of coupling between the helicoid chirality and the magnetochirality, which essentially influences both magnetization statics and dynamics. The emergent magnetic field generated by the torsion breaks mirror symmetry, so that the properties of magnetic excitations in different spatial directions is not identical.…”

confidence: 99%

“…The linearised Landau-Lifshits equations have the form of a generalized Schrödinger equation for the complex-valued function ψ = ϑ + iϕ [17],…”

confidence: 99%

“…Spin waves can be bound by a local bending of the wire [9]. A wire twisting results in non-reciprocal spin-wave propagation [10]. Numerous curvature effects in the domain wall dynamics were found, namely the localized curvature defect (e.g.…”

confidence: 99%

“…From the theoretical point of view, this interest has been reinforced due to the recent development of a functional that allows to calculate the exchange energy of nanomagnets with arbitrary shapes 15,16 . This functional has been used to study the magnetic properties of non-planar nanomagnets such as Möbius stripes 17 , helical wires 18 and domain walls in a parabolic local bend of a nanowire 19 .…”

confidence: 99%