Enhancing the energy spectrum of graphene quantum dot with external magnetic and Aharonov-Bohm flux fields

• Main Authors: Fernando Adan Serrano Orozco, Juan Gerardo Avalos Ochoa, Xochitl Cabrera Rivas, Jose Luis Cuevas Figueroa, Hugo Moises Martinez Carrada
• Format: Article
• Language: English
• Published: Elsevier 2019-08-01
• Series: Heliyon
• Subjects: Quantum mechanics; Dirac-Weyl equation; Energy eigenvalues; Graphene quantum dot; AB-flux field; Landau Levels
• Online Access: http://www.sciencedirect.com/science/article/pii/S2405844019358840

In this paper, we have to apply the Dirac-Weyl equation to find the analytical energy eigenvalues of the graphene quantum dot interacting in the presence of AB-flux field and external magnetic field. We find that the energy eigenvalue of the graphene quantum dot decreases with both magnetic and AB-flux field but the effect of AB-flux field is more dominant. By ameliorating the intensity of the AB-flux field and keeping the magnetic field constant, the quantum-dot states entangled to produce Landau Levels. We show that besides using the graphene sheet and external magnetic field, the Aharonov-Bohm AB-flux field could as well be used to manipulate the carriers state energies in graphene.