Hall mobility due to hopping-type conduction in disordered systems

Abstract
The Hall mobility due to hopping-type transport in spatially random systems is calculated by means of percolation arguments and is expressed as a function of the ratio of the mean intersite spacing to the size of the localized wave-function. The result is found to be smaller than that of the corresponding ordered system, and differs from the result obtained by other authors. Finally, an estimate is made for the additional reduction in the magnitude of the Hall mobility caused by disorder in the local site energies.