Charge transport in the spatially correlated exponential random energy landscape: effect of the non-positive correlation function

Abstract: Charge transport in amorphous semiconductors having spatially correlated exponential density of states (DOS) has been considered for the arbitrary behavior of the correlation function of random energies. Average carrier velocity is exactly calculated for the quasi-equilibrium (nondispersive) transport regime. For the symmetric exponential DOS with exponential tails for low and high energies and non-positive correlation function the temperature for the transition to the dispersive transport regime depends on correlation properties and becomes greater than the traditional estimation based on the DOS decay energy $kT=U_0$. Another new feature of the transport in the landscape having non-positive correlation function is the decay of the mobility with field in low field region.