k·p transport analysis of a graphene ribbon with antidots in the presence of magnetic field

We have simulated the transport properties of a graphene ribbon with a lattice of antidots in the presence of an orthogonal magnetic field. This analysis has been performed using our envelope-function simulator, based on the solution in the reciprocal space of the Dirac equation. The effect of the antidots has been included through a space-dependent mass term and that of the magnetic field through a proper vector potential. We have noticed that for high values of the magnetic field the effect of the presence of the antidots on the conductance actually disappears, as a consequence of the formation of edge states crawling along the borders of the device.