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Field-dependent mobility evaluation from steady-state space-charge-limited I-V curves

In the framework of trap-free steady-state space-charge-limited single-carrier currents, exact equations are derived for the evaluation of arbitrary field-dependent mobility. A differential method, which simply needs first and second derivatives of measured current-voltage (I-V) curves, is put forward. No a priori assumptions are required, other than those which are typical for space-charge-limited currents. An extension to the mixed case of exponentially distributed traps and field-dependent mobility is briefly outlined. The extraction of mobility from measurements can be a valuable tool for the theoretician: theoretical predictions on mobility field-dependence can be easily compared to the real field-dependence, thus permitting an improvement of the model and stimulating the development of transport theory. This method can be of particular relevance for organic semiconductors, whose field-dependent mobility has recently attracted so much theoretical and experimental work.