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Instead of normal non-Arrhenius relationship, the carrier mobility$ln({\mu})$ v.s. $1/T^2$ showed abnormal dependence in an MEH-PPV / InPnanocrystal composite system that a critical temperature $(T_c)$ behavior isprominent in temperature range of 233 K to 333 K. Here, in the model ofvariable range hopping theory, an analytical model is developed within aGaussian trap distribution, which is successfully implemented on thatphenomenon. The results show that Tc becomes the transition temperature as longas trap-filling factor (FF) ~1, which means a transition point from Boltzmannto Fermi distribution. Furthermore, the model predicts an universalrelationship of $ln({\mu})$ on $1/T^2$ determined by FF in any disorderedsystem with traps.

Abnormal temperature dependence of mobility in conjugated polymer / nanocrystal composite: experiment and theory