Quantum transport and quantum chaos in antidot superlattices in a magnetic field

Abstract

The classical dynamics of electrons in antidot superlattices subject to a perpendicular magnetic field is known to be chaotic. The quantum aspects of this system are investigated by calculating the magnetotransport properties and by studying the level statistics. We obtain quantitative agreement with experimental data for the longitudinal and Hall resistances and find distributions of level separations which, depending on the magnetic wavevector, show level repulsion as a signature of quantum chaos.