Kane's [Phys. Rev. 131, 79 (1963)] model for the density of states for
energies in the band gap is in qualitative agreement with experiment.
Halperin and Lax [Phys. Rev. 148, 722 (1966)] have also suggested a m
odel for band tailing, which is applicable to the deep tailing states.
In the present study, theoretical models have been proposed for the b
and tailing in the case of heavily doped semiconductors that are more
general than those of Kane and others. In addition, the present study
also offers an E-(k) over bar dispersion relation for band tails in th
e parabolic band based on Kane's semiclassical theory. This study has
helped us to obtain a different model for the density of states in the
band-tailing conditions and the model is expected to agree better wit
h experiment. (C) 1997 American Institute of Physics.