Vi. Arkhipov et al., Effective transport energy versus the energy of most probable jumps in disordered hopping systems - art. no. 125125, PHYS REV B, 6412(12), 2001, pp. 5125
An analytic expression for the effective transport energy in a positionally
random and energetically disordered hopping system is obtained. It is show
n that multiple carrier jumps within pairs of occasionally close localized
states strongly affect the position of the effective transport level on the
energy scale and lead to a noticeable difference between the effective tra
nsport energy and the energy of most probable jumps. In a hopping system wi
th a Gaussian density-of-states energy distribution, the equilibrium carrie
r mobility is found to be an almost factorized function of temperature and
concentration of localized states.