Dinâmica eletrônica em grafeno na presença de um campo magnético externo.

Abstract

Graphene is a two-dimensional crystal consists of a hexagonal lattice of carbon atoms. Their electronic properties arise as a consequence of the linearity of the dispersion relation of the charge carriers around the Dirac points. His band structure for low energy is described by the Dirac equation without mass (2 + 1) dimensions. This similarity between the excitations in graphene and Dirac fermions enabled the identi cation of di erent peculiar properties from those of usual semiconductor low-dimensional. In this work we study a description of graphene on the e ect of an external magnetic eld. The treatment consists of an equation of massless Dirac fermions to a minimum and coupling to the vector potential. After a review of their main properties, we studied the Landau energy levels , which represent a strongly dependent phenomenon of the linear dispersion relation of graphene. Furthermore, such a con guration used for this study has an impact on certain properties of the quantum Hall e ect. We brie y review the Aharonov-Bohm e ect which is an important topic to investigate quantum interference behavior in graphene.