2.2.1.2 Physical Quantities

The following moments correspond to physical observables which play an important role in device physics and are introduced here for a reference.

Definition of the carrier density:

$$n = M_0$$ (2.27)

Definition of the current density:

$$J = q M_1$$ (2.28)

Here $q$ denotes the carrier charge (negative for electrons).

Definition of temperature and energy: We have

$$E = \frac{3}{2} k_{\mathrm{B}} T = \frac{m^*}{2} \frac{M_2}{n} ,$$ (2.29)

which gives

$$T = \frac{2}{3} \frac{m^*}{2} \frac{M_2}{k_{\mathrm{B}} M_0} .$$ (2.30)

Physical equivalents to other moments can be found in [Gri02].