Typical-medium, multiple-scattering theory for disordered systems with Anderson localization

TL;DR

This paper reformulates the typical medium dynamical cluster approximation within multiple scattering theory to enable first-principles calculations of disordered alloys, capturing Anderson localization effects.

Contribution

It introduces a novel formulation linking TMDCA with multiple scattering theory, allowing systematic inclusion of non-local correlations and localization order parameters.

Findings

Reformulation of TMDCA in multiple scattering theory.

Demonstration on a tight-binding model.

Provides a framework for first-principles localization studies.

Abstract

The typical medium dynamical cluster approximation (TMDCA) is reformulated in the language of multiple scattering theory to make possible first principles calculations of the electronic structure of substitutionally disordered alloys including the effect of Anderson localization. The TMDCA allows for a systematic inclusion of non-local multi-site correlations and at same time provides an order parameter, the typical density of states, for the Anderson localization transition. The relation between the dynamical cluster approximation and the multiple scattering theory is analyzed, and is illustrated for a tight-binding model.