Single-electron magnetoconductivity of a nondegenerate two-dimensional electron system in a quantizing magnetic field

We study transport properties of a nondegenerate two-dimensional system of noninteracting electrons in the presence of a quantizing magnetic field and a short-range disorder potential. We show that the low-frequency magnetoconductivity displays a strongly asymmetric peak at a nonzero frequency. The shape of the peak is restored from the calculated $14$ spectral moments, the asymptotic form of its high-frequency tail, and the scaling behavior of the conductivity for $\overrightarrow{\omega }0.$ We also calculate ten spectral moments of the cyclotron resonance absorption peak, and restore the corresponding (nonsingular) frequency dependence using the continuous fraction expansion. Both expansions converge rapidly with an increasing number of included moments, and give numerically accurate results throughout the region of interest. We discuss the possibility of an experimental observation of the predicted effects for electrons on helium.