On auxiliary flux tubes associated to composite fermions in 2D Hall systems

An inaccuracy of composite fermion model is identified for Landau level fillings out of 1/p, p odd. The corrected version of hierarchy for fractional quantum Hall effect is proposed by mapping onto integer effect within the cyclotron braid approach. Flux-tubes and vortices for composite fermion constructions are explained in terms of cyclotron braids. The even denominator fractional lowest Landau level fillings, including Hall metal, are also discussed in cyclotron braid terms.