Theoretical analysis of the charge carrier transport in thin layers of disordered materials with exponential band tail states

Abstract

Analytic solutions of the convection–diffusion equation (CDE) have been obtained in the case of the exponential band tail states for a reflecting front electrode. Analytic expressions for the transient current density in time-of-flight (TOF) experimental conditions have been obtained. An assessment of the distortion by diffusion has been made for a data analysis of the common TOF method. A new method for calculating a charge carrier mobility and other transport parameters in thin layers of disordered materials has been proposed using the weak-field TOF experiments. The obtained results can provide the use of TOF method for optimizing the characteristics and designing thin-film electronic devices.