Electron Pinball and Commensurate Orbits in a Periodic Array of Scatters

Abstract

We have introduced an artificial array of scatterers into a macroscopic two- dimensional conductor nearly devoid of intrinsic defects. This generates pronounced structure in the magnetoresistance, anomalous low-field Hall plateaus, and a quenching of the Hall effect about B=0. Our calculations show that the predominant features in the data arise from commensurate classical orbits impaled upon small groups of the imposed scatterers.