Mott’s variable-range hopping (VRH) model describes low-temperature conductivity in strongly disordered systems with localized charge-carrier states. For 3D conductivity it has a characteristic temperature dependence of the form

     Sigma=sigma_0 *  exp{ - (T_0/T)^(1/4) }

Where T_0 is Mott’s temperature.   T_0 = (B_0)^4*{ (L_c)^(-3)/k_B * N(E_F) },

here

B_0 - theoretical scaling constant 1.7 - 2.5

L_c - localization length,

k_B - Boltzmann constant,

N(E_F) - DOS at Fermi level.

In most experiments by the order of magnitude T_0 ~ 10^4  -:- 10^5 K. And in some cases it may be even higher. I have even seen T_0 ~ 10^9 K in one paper!

It is clear that this temperature can not describe the real thermodynamic temperature or the value of the energy gap. Nevertheless, this temperature in Mott’s formula is compared with the thermodynamic temperature.

The question is: “What is the physical meaning of such great values of Mott's temperature T_0?”

Similar questions and discussions