Low-frequency hopping conductivity of random chains

Publisher Website
Google Scholar
Abstract
The coherent medium approximation is applied to obtain the low-frequency behavior of hopping conductivity of random chains, where the hopping motion of carriers is governed by a master equation with random jump rates. Six possible regimes are found for the conductivity in the vicinity of the dc limit, which are distinguished by the first and second moments of the inverse of the jump rate. It is shown that even if the dc conductivity is zero, a carrier can vanish from its initial position after an infinite time for two of the six regimes.