On the microscopic origin of fractional quantum Hall states with partially filled quasiparticle shells

Residual interaction among quasiparticles in partially filled composite Fermion (CF) level and the types of correlations they support are investigated. The pseudopotential describing the interaction between quasielectrons (QEs) as a function of relative angular momentum RR is “subharmonic” for R=1R=1. As a consequence the QEs at νQE=13 cannot be Laughlin correlated, but they tend to form pairs or larger clusters. Interpretation of numerical results for small systems can be problematic, because a given value of particle number N   and level degeneracy 2ℓ+12ℓ+1 can correspond to several different filling factors.