Two-Dimensional Quantum ring in a Graphene Layer in the presence of a Aharonov-Bohm flux

TL;DR

This paper investigates the relativistic quantum behavior of massless fermions in a graphene quantum ring influenced by Aharonov-Bohm flux and topological defects, deriving energy spectra, wave functions, and persistent currents.

Contribution

It introduces a model combining Dirac oscillator coupling with topological defects to analyze quantum rings in graphene, providing exact solutions for energy levels and persistent currents.

Findings

Energy levels and eigenfunctions are derived exactly.

Persistent current depends on topological defect parameters.

Model incorporates effects of magnetic flux and disclination.

Abstract

In this paper we study the relativistic quantum dynamics of a massless fermion confined in a quantum ring. We use a model of confining potential and introduce the interaction via Dirac oscillator coupling, which provides ring confinement for massless Dirac fermions. We obtain the energy levels and corresponding eigenfuctions for this model in graphene layer in the presence of Aharonov-Bohm flux in the centre of the ring and the expression for persistent current in this model. We also investigate the model for quantum ring in graphene layer in the presence of disclination and magnetic flux. The energy spectrum and wave function are obtained exactly for this case. We see that the persistent current depends in parameters characterizing the topological defect.