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Spin arrangements of the first family line groups
Author(s) -
Lazić Nataša,
Milivojević Marko,
Damnjanović Milan
Publication year - 2012
Publication title -
physica status solidi (b)
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.51
H-Index - 109
eISSN - 1521-3951
pISSN - 0370-1972
DOI - 10.1002/pssb.201200117
Subject(s) - substructure , spins , spin (aerodynamics) , homogeneous space , generalization , physics , line (geometry) , symmetry (geometry) , condensed matter physics , order (exchange) , space (punctuation) , theoretical physics , mathematics , geometry , mathematical analysis , computer science , engineering , structural engineering , finance , economics , thermodynamics , operating system
Magnetic properties of materials are, partly or in some cases completely, determined by the ground state spin arrangements. Their symmetry is, in some cases based on the magnetic groups, but this approach is incapable to include many classes of helimagnets, and a generalization of spin space groups was introduced. On the other hand, geometrical symmetries of regular quasi one‐dimensional systems, including various types of nanotubes, nanowires, or polymers, are gathered into line groups. Concerning magnetic order, it turns out that the atoms carrying spins in helimagnets usually single out quasi one‐dimensional substructure. Therefore spin line groups are necessary tool in description and classification, as well as deep understanding of properties of wide class of helimagnets. Here we derive spin groups associated to the first family line groups, and compare spin arrangements compatible with these and the corresponding magnetic groups. Presented theory is illustrated by several examples of quasi one‐dimensional helimagnets: cuprates, hexaferrites, etc.