Journal of Vacuum Science & Technology B, Vol.19, No.3, 995-998, 2001
Analytic expression of the average energy of the field electrons from the n-type semiconductors
We have derived an analytic expression of the average energy of field electrons emitted from n-type semiconductors, for the first time. The average energy is obtained in terms of the hypergeometric and the Lerch transcendental functions. The analytic expression exhibits the apparent dependence of the average energy on the applied field, carrier concentration, and temperature. It also gives numerical values of the average energy in excellent agreement with those calculated using the full band structure calculation.