YRLG Workshop: Correlation and Topology in magnetic materials, July 16th - 18th 2024
Sopheak Sorn
Magnetic systems can host magnetic solitons which carry nontrivial topological characters defined in the real space. Examples of such solitons include magnetic skyrmions and magnetic Hopfions featuring well-defined topological charges. Not only do the charges lead to a topological protection against external perturbations, they can also give rise to intriguing characteristic signatures observed in experiments including the experiments on Hall effect and its variants (Nernst effect, thermal Hall effect, Kerr effect and Faraday effect.) In this talk, I will show
how an interplay between the topology and symmetry influences the dynamical behaviours of the magnetic solitons. In particular, the topological protection together with translational and a rotational invariance result in the conservation of the first moment and the second moment of the
topological charges. Consequently, the mobility of magnetic solitons can become intrinsically restricted to move in a subspace of the whole dimension if not at all immobile—features analogous to fracton quasi-particles and the sub-dimensional quasi-particles in fractonic phases of matter. I will also discuss other features of the constrained dynamics such as the inertia of topological solitons and their exotic dispersion relations.