Commensurability peak in square and triangular antidot arrays

Abstract

Commensurability peaks in square and triangular antidot arrays with various aspect ratios are studied. Classical Monte Carlo results show that the magnetic field showing the primary commensurability peak stays almost independent from the period in the square case, whereas it is shifted considerably to the low fields side with increasing aspect ratios in the triangular case. When the aspect ratio is large, prominent quantum effects on the Hall conductivity tend to enhance the primary commensurability peak in the square case. These effects are originating from the quantized Hall conductivity of magnetic minibands. However, such quantum effects are much weaker in the triangular case.