Theory of Impurity Band Conduction in Semiconductors

Abstract

The impurity band problem in semiconductors is formulated in terms of the Green function, the calculation of which has been carried out by a graphical method. Making use of the hydrogen model for the impurity state, the level density of the impurity band as well as the conductivity are calculated for various concentrations of impurities, the results being in qualitative agreement with observations. The effects of correlation and compensation are not taken into account, since the main interest in this paper consists in the randomness of the impurity array.