Cyclotron mass for a two-dimensional array of antidots

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Abstract
Model calculations show that the oscillations in the cyclotron-resonance effective mass for a square array of antidots as a function of magnetic field are a consequence of the resonant coupling between the scatterings which increase the confinement of the electrons in the puddle region between the holes. These oscillations demonstrate the commensurability between the magnetic length and the lattice constant for the array of antidots. Features similar to the experimentally measured cyclotron mass, e.g., a main peak along with a pair of side peaks as well as a second cyclotron mode for a finite range of magnetic fields, have also been observed in a recent cyclotron-resonance experiment carried out on an acceptor-doped sample. The physics involved in both our model calculations and the acceptor-doped sample is due to the resonant increase of the confinement energy of the pinned electrons. These calculations show that electron-scatterer interactions are important for reproducing the oscillations in the cyclotron mass.