On the conductivity of antidot lattices in magnetic fields

Publisher Website
Google Scholar
Abstract
We present results for the density of states, and the band conductivity, of strongly modulated lateral-surface superlattices in a magnetic field. The density of states with an energy smoothing of 0.4 meV shows roughly periodic oscillations of the density of states as the magnetic field is varied, comparable in magnitude and period to the oscillations seen experimentally in the resistance. The oscillations are found to correspond to the perturbed, periodic, cyclotron orbits. The band conductivity shows periodic oscillations with a period of one flux quantum per unit cell of the periodic potential related to Hofstadter's butterfly, but these are suppressed much more strongly than the density of states oscillations by inelastic scattering of the electrons.