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Two-dimensional electron gas in a periodic potential and external magnetic field: states of pairs and three-particle systems

Wojciech Florek
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Abstract

The group-theoretical classification of states of identical particle pairs is presented. Then obtained states are coupled with those of an antiparticle to construct states of a three-particle system. Investigations are performed using products of irreducible projective representations of the 2D translation group. For a given BvK period N degeneracy of pair states is N, whereas three-particle states are N^2-fold degenerated. It has to be underlined that the case of even N is more complicated since pair states are labelled by four inequivalent irreducible projective representations. The problem of symmetry properties with respect to particles transposition is briefly discussed.

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Wojciech Florek. 2002-12-17. Two-dimensional electron gas in a periodic potential and external magnetic field: states of pairs and three-particle systems. https://arxiv.org/abs/cond-mat/0212396

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