We consider optical absorption by an interacting two-dimensional electron system, with impurities, in a strong perpendicular magnetic field, at electron densities such that an integral number of Landau levels is filled. The Coulomb energy $e^2$/ε$l_0$ is assumed to be smaller than the cyclotron energy ħ${\omega }_c$, and correlation effects are treated exactly to lowest order in ($e^2$/ε$l_0$)/ħ${\omega }_c$. The impurity scattering is treated in a self-consistent approximation for several different impurity potentials. The cyclotron resonance line is found to be significantly altered by electron-electron interactions. The line is shifted to lower frequencies and a line narrowing due to correlation effects is found.

• Received 20 August 1984

DOI:https://doi.org/10.1103/PhysRevB.31.3635