Energy levels of graphene magnetic quantum dot in inhomogeneous gap

TL;DR

This paper analyzes how inhomogeneous energy gaps affect the energy levels of charge carriers in a graphene magnetic quantum dot, revealing symmetric and asymmetric behaviors and implications for electrical properties.

Contribution

It provides explicit solutions for energy levels and eigenspinors in a graphene quantum dot with inhomogeneous gaps, highlighting the effects of gap variations on electronic properties.

Findings

Energy levels show symmetric and asymmetric behaviors.

Changing the energy gap alters electrical properties.

Explicit eigenspinors are derived for both valleys.

Abstract

We investigate the energy levels of charge carriers confined in a magnetic quantum dot in graphene with an inhomogeneous gap through an electrical potential. We solve the eigenvalue equation for two regions. We explicitly determine the eigenspinors for both valleys $ K $, $ K' $ and use the boundary condition at the quantum dot interface to obtain the energy levels. We show that the energy levels exhibit symmetric and asymmetric behavior under appropriate conditions of the physical parameters. It has been found that changing the energy levels by introducing an energy gap outside the quantum dot changes the electrical properties.