Indirect interaction in graphene nanostructures

TL;DR

This paper analytically investigates the indirect interaction between local impurities in graphene nanostructures, revealing quantum size effects and impurity position dependence using a tight-binding model.

Contribution

It provides a detailed analytical study of impurity interactions in finite graphene systems, highlighting size and position effects not previously characterized.

Findings

Impurity interaction strength depends on impurity position.

Quantum size effects significantly influence interaction values.

Flake size impacts the magnitude of the indirect interaction.

Abstract

In this paper, the form of the indirect interaction between local impurities in flakes and in graphene ring is analytically investigated. We calculate this characteristic in the framework of the tight-binding model for a finite nanocarbon system with periodic boundary conditions. A pronounced dependence of the bond value on the impurity position inside the graphene sample is found, which is due to quantum size effects. The influence of the flake size on the value of the indirect interaction constant is also studied.