Fast method for calculating the self-consistent electronic structure of random alloys. II. Optimal use of the complex plane

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Abstract
In a previous paper, it was shown that calculations of electronic properties involving energy integrations over the occupied energy bands are greatly facilitated by moving the integration contour into the complex-energy plane. In this paper, by separating the single-particle Green’s function into a single-scatterer contribution and a multiple-scattering contribution, we show that an optimal contour can be found that yields a further substantial increase in computational efficiency. This method applies to all multiple-scattering-based electronic-structure calculations.