Impurity cluster states in disordered two-dimensional systems: A self-consistent Hartree-Fock-Roothaan model

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Abstract
We have investigated the microscopic structure of the impurity states in a two-dimensional disordered system by using a self-consistent Hartree-Fock-Roothaan formalism with spin-polarized potentials which has previously been used to study the three-dimensional systems. It is shown that all the matrix elements are very sensitive to a change in the dimensionality of the system. For impurity concentrations in a large range of interest, the electronic states are localized and the system is dominated by isolated donor impurities or pairs of donor impurities. The results of other models are discussed.