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Bulk and surface topological indices for a skyrmion string | | Wataru Koshibae
; Naoto Nagaosa
; | | Date: |
9 May 2020 | | Abstract: | The magnetic skyrmion is a topological magnetic vortex, and its topological
nature is characterized by an index called skyrmion number which is a mapping
of the magnetic moments defined on a two-dimensional space to a unit sphere. In
three-dimensions, a skyrmion, i.e., a vortex penetrating though the magnet
naturally forms a string, which terminates at the surfaces of the magnet or in
the bulk. For such a string, the topological indices, which control its
topological stability are less trivial. Here, we show theoretically, in terms
of numerical simulation for the current-driven motion of a skyrmion string in a
film sample with the step edges on the surface, that the topological indices
relevant to the stability are the followings; (i) skyrmion number along the
developed surface, and (ii) the monopole charge in the bulk defined as the
integral over the surface enclosing a singular magnetic configuration. As long
as the magnetic configuration is slowly varying, the former is conserved while
its changes is associated with nonzero monopole charge. The skyrmion number and
the monoplole charge offer a coherent understanding of the stability of the
topological magnetic texture and the nontrivial dynamics of skyrmion strings. | | Source: | arXiv, 2005.4516 | | Services: | Forum | Review | PDF | Favorites | |
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