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In this paper we investigate the relativistic quantum dynamics of a massiveexcitation in a graphene layer with a wedge disclination in the presence of anuniform magnetic field. We use a Dirac oscillator type coupling to introducethe confining potential for massive fermions in this system. We obtain theenergy spectrum and eigenfunctions for the quantum ring pierced byAharonov-Bohm flux resulting in appearance of persistent current andspontaneous magnetization.

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