Optical spectrum of 2D electrons in the fractional quantum Hall regime

A simple model is proposed for the photoluminescent emission spectrum in the fractional quantum Hall system. In this model we show that the expression for the emission intensity I(ω) can be factorized into an excitonlike part and a portion which depends explicitly on the dynamical structure factor S(q,ω) for the unperturbed quantum Hall state. For the observed ${\mathit{E}}_0$ line the model explains a series of intensity minima which occur at the onset of each plateau in ${\mathrm{\sigma }}_{\mathit{x}\mathit{y}}$ for ν=2/3, 7/11, 3/5, and 4/7, superimposed on a general rising trend versus applied magnetic field B.