Deformation of a Néel-type Skyrmion in a Weak Inhomogeneous Magnetic Field: Magnetization Ansatz and Interaction with a Pearl Vortex
arXiv:2311.05578 · doi:10.1103/PhysRevB.109.104406
Abstract
In this work, we develop a theory of (meta)stable states of Néel-type skyrmions in weak nonuniform magnetic fields. We claim an Ansatz for modeling the non-symmetric magnetization that can be implied for both analytics and numerical simulations. Our theory accounts for changes in the size of skyrmion parameters and also includes deformations from the centrally symmetric shape. The ansatz streamlines the analytic calculation of the skyrmion free energy, enhancing the efficiency of the minimizing process. Performing the minimization in two stages, one can find all the minima, global and local, of the free energy, discovering the stable and metastable states. We apply the developed methodology to investigate the (meta)stable configurations of skyrmions influenced by the stray field of a Pearl vortex. Our study reveals the dependence of skyrmion spatial parameters on the vortex field effective strength and presents a phase diagram identifying regions where metastable configurations are predicted. Corroborated by micromagnetic simulations, our findings offer a detailed perspective on the interaction between magnetic skyrmions and superconducting vortices.
References in corpus (15)
- Ubermag: Towards more effective micromagnetic workflows
- Skyrmion-(Anti)Vortex Coupling in a Chiral Magnet-Superconductor Heterostructure
- Nano-scale magnetic skyrmions and target states in confined geometries
- Majorana modes in emergent-wire phases of helical and cycloidal magnet-superconductor hybrids
- Steering Majorana braiding via skyrmion-vortex pairs: a scalable platform
- Interaction of a Neel-type skyrmion and a superconducting vortex
- Skyrmion-induced subgap states in p-wave superconductors
- Tailored flux pinning in superconductor/ferromagnet multilayers with engineered magnetic domain morphology from stripes to skyrmions
- Meissner Currents Induced by Topological Magnetic Textures in Hybrid Superconductor/Ferromagnet Structures
- Thermally assisted Skyrmion drag in a nonuniform electric field
- Repulsion of a Néel-type skyrmion from a Pearl vortex in thin ferromagnet-superconductor heterostructures
- Chirality inversion and radius blow-up of a Néel-type skyrmion by a Pearl vortex
- Effective interfacial Dzyaloshinskii-Moriya interaction and skyrmion stabilization in ferromagnet/paramagnet and ferromagnet/superconductor hybrid systems
- The higher-order magnetic skyrmions in non-uniform magnetic fields
- Delocalization of vortex magnetic field near a planar defect