Abstract
A one-band model of a random binary alloy AxB1-x is analysed in terms of a two-sites coherent potential approximation. In the tight-binding hamiltonian, the off-diagonal randomness is introduced via the composition-dependent hopping energies between nearest-neighbour sites. The inclusion of the off-diagonal randomness correlates the scattering from a given site to that from its nearest neighbours. Such a correlation is incorporated in the handling of diagonal randomness (arising from the composition dependence of the atomic potentials) by treating the diagonal randomness in the pair approximation. The theory leads to the wavevector-dependent coherent potentials and previous approximations used in this problem are easily obtained in appropriate limits.
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