Band strutures of hybrid graphene quantum dots with magnetic flux

TL;DR

This paper investigates how magnetic flux influences the electronic band structures of hybrid graphene quantum dots, revealing flux-dependent energy level shifts, oscillations, and gap modifications in a combined single and bilayer graphene system.

Contribution

It provides a detailed analysis of magnetic flux effects on hybrid graphene quantum dots' band structures using Dirac equation solutions, highlighting novel flux-induced phenomena.

Findings

Magnetic flux decreases the energy gap in valley K.

Energy levels in valley K' increase rapidly with radius.

Oscillations in energy levels depend on magnetic flux values.

Abstract

We study the band structures of hybrid graphene quantum dots subject to a magnetic flux and electrostatic potential. The system is consisting of a circular single layer graphene surrounded by an infinite bilayer graphene. By solving the Dirac equation we obtain the solution of the energy spectrum in two regions. For the valley $K$, it is found that the magnetic flux strongly acts by decreasing the gap and shifting energy levels away from zero radius with some oscillations, which are note observed for null flux case. As for the valley $K'$, the energy levels rapidly increase when the radius increases. A number of oscillations appeared that is strongly dependent on the values taken by the magnetic flux.