Bound and resonance electron states in the monolayer graphene with the short-range impurities

TL;DR

This paper investigates how short-range impurities affect bound and resonance electron states in both gapped and gapless monolayer graphene, providing qualitative and numerical insights into their spectral properties.

Contribution

It introduces a detailed analysis of impurity-induced electronic states in graphene, considering various impurity types and gap conditions, with numerical calculations of resonance behaviors.

Findings

Resonance widths depend on gap size, angular momentum, and impurity strength.

Impurities induce localized bound states and resonances in graphene.

The study offers qualitative and numerical insights into impurity effects on graphene's electronic spectrum.

Abstract

Bound and resonance electronic states in impure graphene are studied. Short-range perturbations for defects and impurities of the types "local chemical potential" and "local gap" are taken into account. Zero gap and non-zero gap kinds of graphene are considered. A qualitative analysis of the electronic spectrum general features and numeric calculations are presented. A dependence of the resonance widths on the gap value, angular momentum values and the perturbation amplitudes is investigated.