An exact Green function treatment for dilute impurities in transitional and noble metal hosts

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Abstract
The Green function treatment of Riedinger has recently been successfully applied to the problem of dilute substitutional and interstitial impurities in noble and transition metal hosts (Riedinger 1971, Cook and Smith 1974, Sholl and Smith 1977). This approach is limited in its generality, however, by its approximate treatment of the s-s interaction terms. As a result, it is not applicable to systems such as CuZn, CuGa and CuGe, or CuH and AgH, where the s electrons play a dominant role. An exact expression for the density of states in such dilute impurity systems is derived starting from the Dyson equation and employing a matrix method. This expression is identical to Riedinger's when the s-s interaction terms are set to zero.