DIPOLAR LATTICE MODEL OF DISORDER IN RANDOM-MEDIA - ANALYTICAL EVALUATION OF THE GAUSSIAN DISORDER MODEL

One contribution to the distribution of site energies (DOS) in a rando m medium with localized charge-transport sites is the electrostatic po tential of randomly placed and randomly oriented dipolar species nearb y. This contribution has recently been modelled using a lattice on whi ch a certain fraction (f) of the points is occupied by dipoles with ra ndom orientations. Simulations indicated that the DOS is close to a Ga ussian distribution as long as f is not too small. This fact was taken to justify the application of the Gaussian disorder model (GDM) of ch arge transport in situations where dipolar contributions to the disord er are important. Analytical results on this model are presented here, including an expression for the r.m.s. width of the DOS that differs considerably from the previous result. While the central portion of th e DOS is well approximated by a Gaussian distribution in many cases, t he low- and high-energy tails generally deviate from this distribution . A simple principle is introduced to evaluate the effect of these dev iations on the mobility of charge carriers. The resulting corrections to the predictions of the GDM are sometimes large. Low concentrations of large dipoles probably lead to non-equilibrium transport on the tim e scale of conventional experiments.