Abstract

We investigate commensurate oscillations in ordered and disordered artificial lateral superlattice (ALS) systems, in which the anti-dots are arranged in a square or triangular lattice. With increasing disorder of the anti-dot location, the peaks of the commensurate oscillations fade out. The peak heights are more strongly affected by the disorder along perpendicular direction to the current than by that along the parallel direction. In the square ALS system, the commensurate oscillations seem to be determined principally by the order along the perpendicular direction to the current, while in the triangular ALS system, the commensurate oscillations would be determined by the nearest neighbor distance between anti-dots and the order along the perpendicular direction. In addition, the appearance of each peak is determined by the ratio of the anti-dot diameter to the ALS period. The weak localization effect in very low magnetic field and the strongly temperature dependent conductance in the absence of magnetic field are also observed in the ALS systems.

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