Real space Dynamical Super Cell Approximation for interacting disordered systems

TL;DR

This paper introduces a real space dynamical super cell approximation method for interacting disordered systems, extending existing effective medium theories like DCA and NLCPA to more general cases.

Contribution

The authors develop a unified real space formalism that generalizes DCA and NLCPA for interacting disordered systems, enhancing the modeling capabilities.

Findings

Unified real space formalism derived for disordered systems

DCA and NLCPA are special cases of this new method

Equations formulated using effective medium theory in real space

Abstract

Effective medium super-cell approximation method which is introduced for disordered systems is extended to a general case of interacting disordered systems. We found that the dynamical cluster approximation (DCA) and also the non local coherent potential approximation (NLCPA) are two simple case of this technique. Whole equations of this formalism derived by using the effective medium theory in real space.