Pseudo campo Aharonov-Bohm nos níveis de Landau relativísticos no grafeno.

Abstract

In the limit continuous low power in graphene electrons behave as Dirac fermions massless. And as we have known for some time, elastic deformations in the hexagonal lattice give rise to interesting magnetic properties. Following this line of reasoning, together with the fact that this deformations can be described mathematically by a vector potential and, even more, that the vector potential can be introduced into the Dirac equation via a coupling minimum, rewrite the Dirac equation in a polar coordinate system in 2 + 1 dimensions, adding a potential vector type Aharonov-Bohm and then calculated the Landau levels associated. For this model it was observed that at zero, power levels are unfolded in other two level nonzero, thus indicating the existence of an gap in the band structure of graphene.