Serrano Orozco Fernando Adan, Avalos Ochoa Juan Gerardo, Rivas Xochitl Cabrera, Cuevas Figueroa Jose Luis, Carrada Hugo Moises Martinez
Instituto Politécnico Nacional, Escuela Superior de Ingeniería Mecanica y Eléctrica Unidad Culhuacan, CDMX 04430, Mexico.
Yachay Tech Univerity, School of Physical Sciences and Nanotechnology, 100115, Urcuqui, Ecuador.
Heliyon. 2019 Aug 6;5(8):e02224. doi: 10.1016/j.heliyon.2019.e02224. eCollection 2019 Aug.
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.
在本文中，我们必须应用狄拉克 - 外尔方程来求出在存在AB磁通场和外部磁场的情况下相互作用的石墨烯量子点的解析能量本征值。我们发现，石墨烯量子点的能量本征值随磁场和AB磁通场而降低，但AB磁通场的影响更为显著。通过改善AB磁通场的强度并保持磁场恒定，量子点态会纠缠产生朗道能级。我们表明，除了使用石墨烯片和外部磁场外，阿哈罗诺夫 - 玻姆AB磁通场也可用于操纵石墨烯中载流子的态能量。
