# Disorder induced lifetime effects in binary disordered systems : a first principles formalism and an application to doped Graphene

## TL;DR

This paper develops a first-principles Green function formalism to study how disorder, such as defects, affects the electronic lifetime in doped graphene, revealing the impact of topological and local defects on resonant states.

## Contribution

It introduces a real space block recursion method for analyzing disorder effects in graphene, offering advantages over traditional reciprocal space approaches.

## Key findings

- Resonant states are influenced by defect types and concentrations.
- The method effectively captures disorder-induced lifetime effects.
- Topological and local defects create distinct resonant states.

## Abstract

In this work the conducting properties of graphene lattice with a particular concentration of defect (5\% and 10\%) has been studied. The real space block recursion method introduced by Haydock et al. has been used in presence of the random distribution of defects in graphene. This Green function based method is found more powerful than the usual reciprocal based methods which need artificial periodicity. Different resonant states appear because of the presence of topological and local defects are studied within the framework of Green function.