Analytic current-voltage relationship based on the unified mobility model for organic diodes

An analytical current-voltage relationship is proposed for single-carrier organic light emitting diodes. The model is based on the mobility model of Pasveer et al. [Phys. Rev. Lett. 97 (2005), 206601] that accounts for the most important physical quantities that influence the current transport in organic disordered semiconductors: temperature, carrier concentration, and electric field. The full-analytical formulation is obtained through replacing the constant mobility in Mott-Gurney relationship by the mobility model of Pasveer et al. with carrier concentration and electric field being replaced by their average values evaluated using the strict solutions at constant mobility, and leads to a simple analytical expression. It was validated with experimental data collected from different materials in a wide range of operating conditions. (authors)