Metastable states of sub-micron scale ferromagnetic periodic antidot arrays
arXiv:1810.06011 · doi:10.1016/j.jmmm.2019.165416
Abstract
The magnetic textures on nanoscale possess topological features due to the continuity of the magnetization vector field and its boundary conditions. In thin planar nanoelements, where the dependence of the magnetization across the thickness is inessential, the textures can be represented as a soup of 2-d topological solitons, corresponding to magnetic vortices and antivortices, which are the solutions of Skyrme's model. Topology of the element (of the boundary conditions) then imposes the restrictions on properties and locations of these objects. Periodic arrays of magnetic antidots have topology with infinite connectivity. In this work we classify and build an approximate analytical representation of metastable magnetization textures in such arrays and prove the conservation of their topological charge.
arXiv comment4 pages, 2 figures
References in corpus (9)
- Magnetic Vortex Core Dynamics in a Ferromagnetic Dot
- Stability of magnetic vortex in soft magnetic nano-sized circular cylinder
- Interaction of Skyrmions and Pearl Vortices in Superconductor-Chiral Ferromagnet Heterostructures
- Magnetization patterns in ferromagnetic nano-elements as functions of complex variable
- A simple analytical description for the cross-tie domain wall structure
- Vortex mechanics in planar nano-magnets
- Real meromorphic differentials: a language for the meron configurations in planar nanomagnets
- What makes magnetic skyrmions different from magnetic bubbles ?
- Topological constraints on positions of magnetic solitons in multiply-connected planar magnetic nano-elements