“…11b , as presented, the increase in temperature leads to an increase in the values of s 1 while the value of s 2 decreases which suggest that the short motion of charge carriers dominates as the temperature increase. 30 The temperature behavior of s 1 is typically to that proposed by the non-small polaron tunneling model, for which the conductivity is given by the following expression: 31
where α −1 (Å) is the spatial extension of the polaron, τ 0 represents the characteristic relaxations time, whose value is in the order of an atom vibrational period (10 −13 s), N EF is the density of states near the Fermi level and R ω is the tunneling distance given by the expression:
where ω H is the energy of polaron hopping. The power exponent is given by the expression:
…”