Confinement and deconfinement in the potential of antidot arrays of a massless Dirac electron in magnetic fields

We have investigated the effect of inter-Landau level mixing on confinement/deconfinement in antidot potentials of states with energies less than the potential height of the antidot array. We find that, depending on the ratio between the size of the antidot R and the magnetic length Formula: see text], probability densities display confinement or deconfinement in antidot potentials (B is the magnetic field). When R/???1 form a nearly degenerate band and their probability densities are independent of k, in contrast to the case of R/??