Stochastic Green's function approach to disordered systems

TL;DR

This paper introduces a stochastic Green's function method to analyze disordered systems, focusing on Anderson localization and cluster effects, and demonstrates its application to Holstein polarons.

Contribution

It presents a novel stochastic approach based on local Green's function distributions for studying disordered systems, including interactions.

Findings

Effective analysis of Anderson localization and cluster effects

Application to Holstein polarons demonstrates method versatility

Provides a new tool for interacting disordered systems

Abstract

Based on distributions of local Green's functions we present a stochastic approach to disordered systems. Specifically we address Anderson localisation and cluster effects in binary alloys. Taking Anderson localisation of Holstein polarons as an example we discuss how this stochastic approach can be used for the investigation of interacting disordered systems.