Irreducible Representations of Diperiodic Groups

Details Irreducible Representations of Diperiodic Groups Irreducible Representations of Diperiodic Groups

1998-05-14

arxiv.org/abs/cond-mat/9805176v1

J.Phys A 31 (1998) 3625-3648

Physics

Condensed Matter

Superconductivity

30 pages, 5 figures, 28 tables, 18 refs, LaTex2.09

Scientific paper

10.1088/0305-4470/31/15/023

The irreducible representations of all of the 80 diperiodic groups, being the symmetries of the systems translationally periodical in two directions, are calculated. To this end, each of these groups is factorized as the product of a generalized translational group and an axial point group. The results are presented in the form of the tables, containing the matrices of the irreducible representations of the generators of the groups. General properties and some physical applications (degeneracy and topology of the energy bands, selection rules, etc.) are discussed.

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