Investigation of Hall Resistivity in Antidot Lattices with respect to Commensurability Oscillations

Abstract

In investigation of commensurability oscillations in antidot lattices, we find a relation between the resistivity ρ x x and the differentiated Hall resistivity dρ x y / d B , where B is the strength of the magnetic field. All peaks of ρ x x exactly correspond to those of dρ x y / d B . This coincidence is direct evidence that the extended Drude model for the oscillations cannot fully explain the magnetoresistance experimentally observed in antidot lattices.