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We study theoretically the magnetoresistance $\rho_{xx}(B)$ of atwo-dimensional electron gas scattered by a random ensemble of impenetrablediscs in the presence of a long-range correlated random potential. We believethat this model describes a high-mobility semiconductor heterostructure with arandom array of antidots. We show that the interplay of scattering by the twotypes of disorder generates new behavior of $\rho_{xx}(B)$ which is absent foronly one kind of disorder. We demonstrate that even a weak long-range disorderbecomes important with increasing $B$. In particular, although $\rho_{xx}(B)$vanishes in the limit of large $B$ when only one type of disorder is present,we show that it keeps growing with increasing $B$ in the antidot array in thepresence of smooth disorder. The reversal of the behavior of $\rho_{xx}(B)$ isdue to a mutual destruction of the quasiclassical localization induced by astrong magnetic field: specifically, the adiabatic localization in thelong-range Gaussian disorder is washed out by the scattering on hard discs,whereas the adiabatic drift and related percolation of cyclotron orbitsdestroys the localization in the dilute system of hard discs. For intermediatemagnetic fields in a dilute antidot array, we show the existence of a strongnegative magnetoresistance, which leads to a nonmonotonic dependence of$\rho_{xx}(B)$.Comment: 21 pages, 13 figure

Quasiclassical magnetotransport in a random array of antidots