The symmetry of threeelectron states in a quantized magnetic field
Abstract
The states of itinerant electrons on the finite square lattice in a quantized magnetic field are discussed. The singleelectron states are classified by irreducible representations (IRs) of the magnetic translation group.The representation correspond to the Landau level, whereas its basis functions are analogs of the cyclotronic orbits. The filling factor of the Landau level is considered in the frame of multielectron functions. Corresponding states are classified by the IR of MTG as well as by the irreducible representation of a symmetric group (permuting the electrons) and a unitary group (permuting electron states). The discussion is restricted to the case when the magnetic flux per unit cell of the twodimensional square lattice is a rational number in terms of magnetic flux quanta. The additional parameter of the model is the Hubbard interaction between electrons.
 Publication:

Physica B Condensed Matter
 Pub Date:
 July 2011
 DOI:
 10.1016/j.physb.2011.04.017
 Bibcode:
 2011PhyB..406.2734W