Abstract
A broad class of three-dimensional space structures in multisublattice antiferromagnets was found in the isotropic approximation (the principal chiral field model on the SU(2) group). According to the Andreev-Marchenko theory, this approximation is applicable to spin glasses and provides qualitative understanding of structures in real multisublattice antiferromagnets. Special substitutions were used to reduce the equations of the model to new equations with simple geometric interpretation. A differential geometry method was applied to obtain various structure types (some of which were determined by arbitrary functions), including localized and nonlocalized textures, structures with the degree of mapping equal to one, antiferromagnetic “targets” and three-dimensional sources, and two-and three-dimensional vortex and spiral structures. Possibilities for experimentally checking the presence of localized, vortex, and spiral structures in antiferromagnets were demonstrated.
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