Twodimensional electron gas in a periodic potential and external magnetic field: states of pairs and threeparticle systems
Abstract
The grouptheoretical classification of states of identical particle pairs is presented. Then obtained states are coupled with those of an antiparticle to construct states of a threeparticle 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 threeparticle states are N^2fold 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.
 Publication:

arXiv eprints
 Pub Date:
 December 2002
 arXiv:
 arXiv:condmat/0212396
 Bibcode:
 2002cond.mat.12396F
 Keywords:

 Condensed Matter  Mesoscopic Systems and Quantum Hall Effect
 EPrint:
 8 pages, LaTeX 2e