The theory of the Hubbard model for a structurally disordered system appropriate to the impurity band is developed. The resonance broadening process, which is taken into account in the present theory. gives rise to an important difference in the electron structure as contrasted to the works by previous authors. the density of states with its motional narrowing and tailing, the Anderson localization and the metal-non-metal (MNM) transition are discussed. The critical concentration N c at which the MNM transition takes place agrees with the experimental result N c =3×10 18 cm -3 for Si:P within a factor of two. The possibility of a pressure induced MNM transition is also suggested.
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Aoki et al. (1976) studied this question.
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