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

Mesoscale and Nanoscale Physics;Materials Science