New method for self-consistency in disordered systems

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Abstract
Effective-medium theories for the electronic structure of disordered systems often lead to self-consistent equations for the self-energy. We present a powerful method which solves for the self-energy by converting the integral equations into a system of simultaneous equations. We consider two distinct cases: tight binding and muffin tin. Convergence is easily obtained where previously it was very difficult. Further, we provide a physically appealing and useful interpretation to our method.