Phase transitions to ordered states, which correspond to the toroidal family of multipoles known in electrodynamics, are discussed. The ordering of toroidal moments may either occur simultaneously with their formation (as in superconductivity) or may follow it (at lower temperatures). In addition to electrodynamic toroidal moments corresponding to either poloidal charge currents or a spin configuration, a toroidal state corresponding to poloidal spin currents is possible.

PACS: 01.30.Bb, 71.30.+h, 75.10.−b, 75.80.+q (all) DOI: 10.3367/UFNe.0179.200911d.1175 URL: https://ufn.ru/en/articles/2009/11/d/ 000285142100003 2-s2.0-77249124960 2009PhyU...52.1111K Citation: Kopaev Yu V "Toroidal ordering in crystals" Phys. Usp. 52 1111–1125 (2009) BibTexBibNote ® (generic)BibNote ® (RIS) MedlineRefWorks PT Journal Article TI Toroidal ordering in crystals AU Kopaev Yu V FAU Kopaev YV DP 10 Nov, 2009 TA Phys. Usp. VI 52 IP 11 PG 1111-1125 RX 10.3367/UFNe.0179.200911d.1175 URL https://ufn.ru/en/articles/2009/11/d/ SO Phys. Usp. 2009 Nov 10;52(11):1111-1125 Оригинал: Копаев Ю В «Тороидные упорядочения в кристаллах» УФН 179 1175–1190 (2009); DOI: 10.3367/UFNr.0179.200911d.1175