  In the conventional theory of hopping transport the positions of localized
electronic states are assumed to be fixed, and thermal fluctuations of atoms
enter the theory only through the notion of phonons. On the other hand, in 1D
and 2D lattices, where fluctuations prevent formation of long-range order, the
motion of atoms has the character of the large scale diffusion. In this case
the picture of static localized sites may be inadequate. We argue that for a
certain range of parameters, hopping of charge carriers among localization
sites in a network of 1D chains is a much slower process than diffusion of the
sites themselves. Then the carriers move through the network transported along
the chains by mobile localization sites jumping occasionally between the
chains. This mechanism may result in temperature independent mobility and
frequency dependence similar to that for conventional hopping.
