Energy Levels of Gapped Graphene Quantum Dot in Magnetic Field

TL;DR

This paper investigates the energy levels of carriers in a gapped graphene quantum dot under a magnetic field, revealing symmetry properties, electron density effects, and the influence of the energy gap.

Contribution

It provides a theoretical analysis of energy levels and wavefunctions in a gapped graphene quantum dot with magnetic field, including numerical results and boundary condition applications.

Findings

Energy levels show symmetric and antisymmetric behaviors.

Radial probability distribution depends on angular momentum.

Energy gap reduces electron density, indicating electron trapping.

Abstract

We study the energy levels of carriers confined in a magnetic quantum dot of graphene surrounded by a infinite graphene sheet in the presence of energy gap. The eigenspinors are derived for the valleys $K$ and $K'$, while the associated energy levels are obtained by using the boundary condition at interface of the quantum dot. We numerically investigate our results and show that the energy levels exhibit the symmetric and antisymmetric behaviors under suitable conditions of the physical parameters. We find that the radial probability can be symmetric or antisymmeric according to the angular momentum is null or no-null. Finally, we show that the application of an energy gap decreases the electron density in the quantum dot, which indicates a temporary trapping of electrons.