Single-electron magnetoconductivity of a nondegenerate two-dimensional electron system in a quantizing magnetic field - art. no. 165326

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 magnetoco nductivity 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 omega -->0. We also calculate ten spectral moments of the cyclotron resonance absorption peak, and restore the corresponding (nonsin gular) frequency dependence using the continuous fraction expansion. Both e xpansions converge rapidly with an increasing number of included moments, a nd give numerically accurate results throughout the region of interest. We discuss the possibility of an experimental observation of the predicted eff ects for electrons on helium.