Topology and magnetic solitons in collinear antiferromagnets

A topological classification of two-dimensional magnetic solitons whose local magnetic order can be described by a single antiferromagnetism vector is analyzed. It is shown that only nontopological solitons of this class may exist in perfect crystals. A formalism of topological description of magnetic domain structures and of the coupling between magnetic solitons and crystal defects in arbitrary magnets is proposed.

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