# Quantum Ring in Gapped Graphene Layer with Wedge Disclination in the Presence of an Uniform Magnetic Field

## TL;DR

This study explores the quantum behavior of massive fermions in a gapped graphene layer with a wedge disclination under a magnetic field, revealing energy spectra, persistent currents, and magnetization effects.

## Contribution

It introduces a Dirac oscillator coupling to model confinement and derives energy spectra and eigenfunctions for a quantum ring in this specific graphene setup.

## Key findings

- Energy spectrum and eigenfunctions obtained
- Persistent current due to Aharonov-Bohm flux identified
- Spontaneous magnetization effects observed

## Abstract

In this paper we investigate the relativistic quantum dynamics of a massive excitation in a graphene layer with a wedge disclination in the presence of an uniform magnetic field. We use a Dirac oscillator type coupling to introduce the confining potential for massive fermions in this system. We obtain the energy spectrum and eigenfunctions for the quantum ring pierced by Aharonov-Bohm flux resulting in appearance of persistent current and spontaneous magnetization.