Magneto-oscillations in a two-dimensional electron gas with a Penrose lattice of artificial scatterers.

Abstract

Magnetoresistance of a two-dimensional electron gas in a quasiperiodic lattice (Penrose tiling) of antidots has been studied. Magnetoresistance oscillations in a magnetic field were found when the cyclotron diameter 2${\mathit{R}}_{\mathit{L}}$ was equal to the minimal distance between the centers of the antidots ${\mathit{d}}^{\mathrm{min}}$, and for 2${\mathit{R}}_{\mathit{L}}$=1.62${\mathit{d}}^{\mathrm{min}}$. In contrast to the periodic lattice, where these oscillations originate from trajectories skipping along the array, in a quasiperiodic system commensurability oscillations of the magnetoresistance were suggested to be due to oscillations of the electrons scattered by the antidots.