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The cluster-Bethe-lattice method is extended to study the Weaire-Thorpe sp³ Hamiltonian. We derive a transformation which makes it possible to calculate the local density of states of a system described with a four-orbital Hamiltonian by using the local Green's function of a one-orbital Hamiltonian. We study the effects on the density of states of the presence of like-atom bonds in amorphous III-V semiconductors. We analyze two models: (a) like-atom bond in tetrahedral configuration, and (b) like-atom bond in triangular pyramidal configuration. Our results are in agreement with the experimental data.
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Ynduráin et al. (1976) studied this question.
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