Anisotropy mechanisms in S-ion compounds are discussed, in particular the "single-ion" exchange mechanism which was developed theoretically by Nikiforov and coworkers based on the two-ion model and which has only recently received detailed experimental study. Results demonstrating the significant role of the "single-ion" source are presented. An independent generalized method for quantitatively describing and predicting the anisotropy of magnetically ordered crystals is discussed, and its potential for the investigation of the BiFeO₃ multiferroic in the region of the existence of a spin cycloid is examined. The anisotropic interactions responsible for the formation of nanostructures in the form of spin vortices (skyrmions) in MnSi and Cu₂OSeO₃ are analyzed.

PACS: 75.25.-j, 75.30.Gw, 76.30.Fc (all) DOI: 10.3367/UFNe.0184.201412b.1299 URL: https://ufn.ru/en/articles/2014/12/b/ 000350894500002 2-s2.0-84924351007 2014PhyU...57.1180O Citation: Ovchinnikov S G, Rudenko V V "Anisotropic interactions in magnetic crystals with S-state ions. Nanostructures" Phys. Usp. 57 1180–1198 (2014) BibTexBibNote ® (generic)BibNote ® (RIS)MedlineRefWorks Received: 21st, December 2013, revised: 21st, June 2014, accepted: 24th, June 2014 Оригинал: Овчинников С Г, Руденко В В «Анизотропные взаимодействия в магнитных кристаллах с ионами в S-состоянии. Наноструктуры» УФН 184 1299–1318 (2014); DOI: 10.3367/UFNr.0184.201412b.1299