A CPA theory of excitations in structurally disordered materials using a lattice model

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Abstract
A coherent potential approximation is developed for a distribution of transfer integrals (off-diagonal disorder) in a single band on a dilute close-packed lattice with first and second neighbour interactions. The moments of the density of states are evaluated and compared to exact results up to order six. It is suggested that this model provides a reasonable approximation to the structurally disordered material with the same distribution of transfer integrals arising via the pair distribution function. Results are computed for distributions based on experimental observation in liquid Fe and on those computed by the Percus-Yevick method for a liquid of hard spheres.