Quantum study of magnetotransport in antidot superlattices

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Abstract
We present fully quantum-mechanical calculations of the magnetotransport properties of antidot superlattices. Our results are in quantitative agreement with experimental longitudinal resistance and Hall resistance data, which so far have been discussed within the framework of classical chaotic dynamics. Quantum oscillations in the density of states, discussed previously within Gutzwiller’s periodic orbit theory, are also confirmed by our calculations. Moreover, we predict an enhanced energy period in the density of states associated with the deformation of periodic orbits.