Energy levels of monolayer -- AA-stacked bilayer graphene quantum dots

TL;DR

This paper analyzes the electronic energy spectrum of hybrid graphene quantum dots, combining monolayer and AA-stacked bilayer graphene, using analytical methods to understand their properties under various external fields.

Contribution

It provides analytical solutions for energy levels and wave functions of hybrid monolayer-bilayer graphene quantum dots, considering boundary conditions and external influences.

Findings

Energy levels depend on magnetic, electric fields, and dot size.

Analytical expressions for wave functions are derived.

Hybrid systems show unique electronic properties compared to pure graphene dots.

Abstract

This work investigates the electronic properties of the energy spectrum of a hybrid system composed of (i) a circular quantum dot of monolayer graphene surrounded by an infinite sheet of AA-stacked bilayer graphene and (ii) a circular quantum dot of AA-stacked graphene bilayer surrounded by infinite monolayer graphene. We establish analytical findings for the related energy levels and wave functions using the continuum model and the zigzag boundary conditions at the graphene monolayer-bilayer interface. We investigate the effects of perpendicular magnetic, dot radius, and electrical fields on the two types of hybrid system quantum dots. We compare our results to previously published work and explore the potential uses of such a hybrid system quantum dot.