Curvature effects in statics and dynamics of low dimensional magnets

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 approach we consider the magnetisation structure in a ring wire and a cone surface: ground states in both systems essentially depend on the curvature excluding strictly tangential solutions even in the case of strong anisotropy. We derive also the spectrum of spin waves in such systems.

arXiv commentLaTeX, 17 pages, 3 figures

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Cited by in corpus (55)

• Magnetic nanowires and nanotubes
• Topologically stable magnetization states on a spherical shell: curvature stabilized skyrmions
• Multiplet of skyrmion states on a curvilinear defect: skyrmion lattices as a ground state
• Magnetochiral symmetry breaking in a Möbius ring
• Micromagnetic Theory of Curvilinear Ferromagnetic Shells
• Curvature induced domain wall pinning
• Curved Magnetism in CrI${}_3$
• Curvature and torsion effects in the spin-current driven domain wall motion
• Geometry-induced motion of magnetic domain walls in curved nanostripes
• Torsion induced effects in magnetic nanowires
• Rashba Torque Driven Domain Wall Motion in Magnetic Helices
• Magnetization in narrow ribbons: curvature effects
• Vortex-antivortex pairs induced by curvature in toroidal nanomagnets
• Imaging three-dimensional magnetic systems with X-rays
• Curvilinear one-dimensional antiferromagnets
• Oscillatory behavior of the domain wall dynamics in a curved cylindrical magnetic nanowire
• The effect of curvature on the eigenexcitations of magnetic skyrmions
• Geometry induced phase transitions in magnetic spherical shell
• Engineered Chiral Skyrmion and Skyrmionium States by the Gradient of Curvature
• Curvature effects on phase transitions in chiral magnets
• Magnetization ground state and reversal modes of magnetic nanotori
• Curvature induced drift and deformation of magnetic skyrmions: comparison of ferro- and antiferromagnetic cases
• Micromagnetic modelling of magnetic domain walls in curved cylindrical nanotubes and nanowires
• Analysis on the stability of in-surface magnetic configurations in toroidal nanoshells
• Curvature-driven homogeneous Dzyaloshinskii-Moriya interaction and emergent weak ferromagnetism in anisotropic antiferromagnetic spin chains
• Magnetization reversal in bent nanofibers of different cross-sections
• Chiral magnetism: a geometric perspective
• Localization of magnon modes in a curved magnetic nanowire
• Spontaneous deformation of flexible ferromagnetic ribbons induced by Dzyaloshinskii-Moriya interaction
• Curvature induced magnonic crystal in nanowires
• Curvature control of the superconducting proximity effect in diffusive ferromagnetic nanowires
• Nematic versus ferromagnetic shells: new insights in curvature-induced effects
• Magnetization induced shape transformations in flexible ferromagnetic rings
• Curvature-induced long ranged supercurrents in diffusive SFS Josephson Junctions, with dynamic $0-\pi$ transition
• Control of magnetic response in curved stripes by tailoring cross-section
• Curvature induced magnetization of altermagnetic films
• Curvilinear manipulation of polarized spin wave
• Curvature-Induced Skyrmion Mass
• Reduced models for ferromagnetic thin films with periodic surface roughness
• Manipulation by magnetic frustration in ferrotoroidal spin chains via curvature and torsion
• Dynamics of domain walls in curved antiferromagnetic wires
• Non-constant geometric curvature for tailored spin-orbit coupling and chirality in superconductor-magnet heterostructures
• Chiral breakdown engineered by mesoscale Dzyaloshinskii-Moriya interaction in biaxial magnetic nanotubes
• Field-induced spin reorientation transitions in antiferromagnetic ring-shaped spin chains
• Electrical control of superconducting spin valves using ferromagnetic helices
• Spin coherence on the ferromagnetic spherical surface
• Exploration of magnetoelastic deformations in spin-chain compound CuBr${}_2$
• Spin-orbit torque driven motion of chiral domain walls induced by radial magnetization in nanotube geometry
• Magnetoelectricity of Topological Solitons in 2D Magnets
• Curvilinear spin-wave dynamics beyond the thin-shell approximation: Magnetic nanotubes as a case study
• Torsion-induced Dzyaloshinskii-Moriya interaction in helical magnets
• Topology-induced symmetry breaking demonstrated in antiferromagnetic magnons on a Möbius strip
• Impact of curvature-induced Dzyaloshinskii-Moriya interaction on magnetic vortex texture in spherical caps
• Mode splitting of spin waves in magnetic nanotubes with discrete symmetries
• Observation of compact ferrimagnetic skyrmions in DyCo${}_3$ film