ANGULAR MOMENTA OF COMPOSITE FERMION EXCITATIONS AND THE BAND-STRUCTURE OF FRACTIONAL QUANTUM HALL SYSTEMS

The transformation from electrons to composite Fermions turns a fractionally filled electron Landau level into an integrally filled composite Fermion (CF) Landau level. The eigenstates can be described in terms of n(QE) and n(QH), the numbers of quasielectron and quasihole CF excitations. In the absence of interactions between CF excitations, the energy is the sum of the energies of the individual excitations. For the CF filling v* = 1 of a system of N-e electrons, the angular momentum of a quasi electron excitation is given by l(QE) = N-e/2+(n(QH)-n(QE)+1)/2, and l(QH) = l(QE)-1. The allowed values of the total angular momentum L can be obtained by the addition of the angular momenta of the quasielectrons and quasiholes treated as distinguishable sets of Fermions.