Homotopy transitions and 3D magnetic solitons
Vladyslav M. Kuchkin, Nikolai S. Kiselev
TL;DR
This paper introduces a novel concept for 3D magnetic solitons using homotopy mapping from 2D solutions, demonstrating stable configurations and exploring their static and dynamic properties in chiral magnets.
Contribution
It presents a new approach to creating 3D magnetic solitons by homotopy transitions, with detailed analysis of their stability and properties in isotropic chiral magnets.
Findings
Stable 3D magnetic solitons identified in chiral magnet models
Homotopy mapping effectively generates 3D soliton configurations
Static and dynamic behaviors of these solitons are characterized
Abstract
This work provides a concept for three-dimensional magnetic solitons based on mapping the homotopy path between various two-dimensional solutions onto the third spatial axis. The representative examples of statically stable configurations of that type in the model of an isotropic chiral magnet are provided. Various static and dynamic properties of such three-dimensional magnetic solitons are discussed in detail.
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