Pairs of Bloch electrons and magnetic translation groups

Details Pairs of Bloch electrons and magnetic translation groups Pairs of Bloch electrons and magnetic translation groups

1998-03-07

arxiv.org/abs/cond-mat/9803083v1

Phys. Rev. B vol. 55 (1997) 1449-1453

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

4 pages, RevTex. Latex2.09, amsfonts

Scientific paper

10.1103/PhysRevB.55.1449

A product of irreducible representations of magnetic translation group is considered. It leads to irreducible representations which were previously rejected as nonphysical. A very simple example indicates a possible application of these representations. In particular, they are important in descriptions of pairs of electrons in a magnetic field and a periodic potential. The periodicity of some properties with respect to the charge of a particle is briefly discussed.

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