Collapse of Skyrmions in 2d Ferro- and Antiferromagnets

Abstract

Collapse of a skyrmion due to the discreteness of a crystal lattice in isotropic two-dimensional ferro- and antiferromagnets has been studied analytically and by numerical solution of equations of motion for up to 2000 x 2000 classical spins on a square lattice coupled via Heisenberg exchange interaction. Excellent agreement between analytical and numerical results has been achieved. The lifetime of the skyrmion scales with its initial size, lambda_0, as(lambda_0/a)^5 in ferromagnets and as (lambda_0/a)^2.15 in antiferromagnets, with a being the lattice parameter. This makes antiferromagnetic skyrmions significantly shorter lived than ferromagnetic skyrmions.

4 pages, 5 figures

References in corpus (5)

• Skyrmions in a Doped Antiferromagnet
• Half-skyrmion picture of single hole doped CuO_2 plane
• Topological solitons in highly anisotropic two dimensional ferromagnets
• Stable topological textures in a classical 2D Heisenberg model
• Elementary Excitations of Quantum Critical 2+1 D Antiferromagnets

Cited by in corpus (28)

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• Multiscale simulations of topological transformations in magnetic Skyrmions
• Magnetic Domain Walls as Hosts of Spin Superfluids and Generators of Skyrmions
• Stability of Biskyrmions in Centrosymmetric Magnetic Films
• Writing Skyrmions with a Magnetic Dipole
• Thermal Creation of Skyrmions in Ferromagnetic Films with Perpendicular Anisotropy and Dzyaloshinskii-Moriya Interaction
• Breathing Mode of a Skyrmion on a Lattice
• Biskyrmions Lattices in Centrosymmetric Magnetic Films
• Topological order generated by random field in a 2D exchange model
• Thermal Collapse of a Skyrmion
• Skyrmion Clusters From Bloch Lines in Ferromagnetic Films
• A model for individual quantal nano-skyrmions
• Polyhexatic and Polycrystalline States of Skyrmion Lattices
• A route towards stable homochiral topological textures in A-type antiferromagnets
• Quantum States of a Skyrmion in a 2D Antiferromagnet
• Semi-Compact Skyrmion-like Structures
• Dynamics of the collapse of a ferromagnetic skyrmion in a centrosymmetric lattice
• Robust dynamics of antiferromagnetic skyrmion driven by spin-polarized current in small thin disks
• Solid-Liquid Transition in a Skyrmion Matter
• Skyrmion Crystal in a Microwave Field
• Melting and Freezing of a Skyrmion Lattice
• Elliptical skyrmions: theory and nucleation by a magnetic tip in an antiskyrmion-hosting material
• The dynamics of skyrmion shrinking