# Locally self-consistent embedding approach for disordered electronic systems

## TL;DR

This paper introduces a new embedding scheme for disordered electron systems that efficiently captures Anderson localization and predicts critical disorder strength, reducing computational costs.

## Contribution

A novel locally self-consistent embedding method for disordered systems that improves efficiency and accuracy in modeling Anderson localization.

## Key findings

- Captures Anderson localization transition accurately
- Predicts critical disorder strength effectively
- Reduces computational costs with local interaction zones

## Abstract

We present a new embedding scheme for the locally self-consistent method to study disordered electron systems. We test this method in a tight-binding basis and apply it to the single band Anderson model. The local interaction zone is used to efficiently compute the local Green's function of a supercell embeded into a local typical medium. We find a quick convergence as the size of the local interaction zone which reduces the computational costs as expected. This method captures the Anderson localization transition and accurately predicts the critical disorder strength. The present work opens the path towards the development of a typical medium embedding scheme for the $O(N)$ multiple scattering methods.