MAGNETO-OSCILLATIONS IN A 2-DIMENSIONAL ELECTRON-GAS WITH A PENROSE LATTICE OF ARTIFICIAL SCATTERERS

Magnetoresistance of a two-dimensional electron gas in a quasiperiodic lattice (Penrose tiling) of antidots has been studied. Magnetoresista nce oscillations in a magnetic field were found when the cyclotron dia meter 2R(L) was equal to the minimal distance between the centers of t he antidots d(min), and for 2R(L) = 1. 62d(min). In contrast to the pe riodic lattice, where these oscillations originate from trajectories s kipping along the array, in a quasiperiodic system commensurability os cillations of the magnetoresistance were suggested to be due to oscill ations of the electrons scattered by the antidots.