Abstract
The real part of the AC conductivity has been measured in epitaxial layers of n-type GaAs in the frequency range 1-103 Hz at 4.2K, where the DC conductivity is dominated by phonon-assisted hopping between impurities. These measurements cover the transition region from DC behaviour to an omega S dependence, where s approximately 0.6, and are compared with a recent theory of the frequency-dependent impurity conduction by Scher and Lax (1973) based on a stochastic interpretation of transport in a disordered solid. The theory predicts a DC limit of the conductivity which is about four orders of magnitude lower than the experimental values.