Low-frequency peak in the magnetoconductivity of a non-degenerate 2D electron liquid

We study the frequency-dependent magnetoconductivity of a strongly correlated nondegenerate 2D electron system in a quantizing magnetic field. We first restore the single-electron conductivity from calculated 14 spectral moments. It has a maximum for omega ~ gamma (hbar gamma is the disorder-induced width of the Landau level), and scales as a power of omega for omega ->0, with a universal exponent. Even for strong coupling to scatterers, the electron-electron interaction modifies the conductivity for low and high frequencies, and gives rise to a nonzero static conductivity. We analyze the full many-electron conductivity, and discuss the experiment.