Numerical simulation evidence of spectrum rearrangement in impure graphene

TL;DR

This paper uses numerical simulations to demonstrate that impurity-induced defects in graphene cause a quasigap formation and localization of states, especially within impurity pair clusters, affecting electronic properties.

Contribution

It provides the first numerical evidence of spectrum rearrangement and localization phenomena in impure graphene with point defects.

Findings

A quasigap opens near resonance states with increasing impurity concentration.

States within the quasigap are strongly localized and cannot be described by wavevector.

Impurity pair clusters generate states at the density of states maxima within the quasigap.

Abstract

By means of numerical simulation we confirm that in graphene with point defects a quasigap opens in the vicinity of the resonance state with increasing impurity concentration. We prove that states inside this quasigap cannot longer be described by a wavevector and are strongly localized. We visualize states corresponding to the density of states maxima within the quasigap and show that they are yielded by impurity pair clusters.