MAGNETOTRANSPORT IN ANTIDOT ARRAYS

We study magnetotransport in lateral two-dimensional superlattices with periods on the order of 100 nm. Pronounced low-field transport anomalies reflect the interplay of two characteristic lengths of the system, the cyclotron radius R(c) and the period a. Measurements at very low temperatures reveal quantum oscillations, periodic in the magnetic field B, which are superimposed upon the commensurability anomalies in the magnetoresistance rho(xx). We show that the latter effect can be interpreted in terms of quantized periodic orbits which takes into account the chaotic nature of the classical phase space.