Abstract
The extended Hubbard model which includes nearest-neighbour interactions has been studied including the finite-lifetime effects. It has been shown that the problem in general is equivalent to a three-component alloy problem with wavevector-dependent self-energy. In the special case of small intersite-correlations, the solutions have been shown to be equivalent to the coherent potential approximation for the ternary alloy problem. The alloy problem has then been solved to obtain the effect of intersite correlations on the metal-insulator transitions.
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