# Energy Levels of Quantum Ring in ABA-Stacked Trilayer Graphene

## TL;DR

This paper analyzes the energy spectrum of charge carriers confined in a quantum ring within ABA-stacked trilayer graphene under a magnetic field, revealing symmetry properties and effects of potential shifts.

## Contribution

It provides a continuum model solution for the energy spectrum of quantum rings in ABA-stacked trilayer graphene, highlighting symmetry breaking and comparing with monolayer and bilayer cases.

## Key findings

- Energy spectrum exhibits magnetic field-dependent symmetries.
- Potential shifts vertically displace the energy spectrum.
- Magnetic field breaks all symmetries in the spectrum.

## Abstract

We present the solutions of the energy spectrum of charge carriers confined in quantum ring in ABA-stacked trilayer graphene subjected to a perpendicular magnetic field. The calculations were performed in the context of the continuum model by solving the Dirac equation for a zero width ring geometry, i.e. freezing out the carrier radial motion. We show that the obtained energy spectrum exhibits different symmetries with respect to the magnetic field and other parameters. The application of a potential shift the energy spectrum vertically while the application of a magnetic field breaks all symmetries. We compare our results with those of of the ideal quantum ring in monolayer and bilayer graphene.