Ah. Marshak, ON THE DEFINITION OF VOLTAGE AND THE RELATIONSHIP BETWEEN INTERNAL AND EXTERNAL VOLTAGES OF A SEMICONDUCTOR-DEVICE, I.E.E.E. transactions on electron devices, 43(6), 1996, pp. 1032-1034
The voltage between tno points is the line integral of the electric fi
eld between the two points. The voltage between the metal contacts def
ining two terminals of a device is also the difference between the qua
si-Fermi level at the terminals. However, the voltage between two poin
ts internal to an isothermal semiconductor device is not necessarily t
he difference between quasi-Fermi levels. Rather, the voltage involves
both quasi-Fermi level and chemical potential differences. An example
of a device having ideal ohmic contacts illustrates these points. The
results and their application pertain to semiconductor device analysi
s.