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V51/p in our calculation, although we deal with the effect of disorder in the same way as the classical model; 7 that is, we evaluate the conductivity s yy with the ad h oc assumption of the constant relaxation time t. In the high-mobility samples, the dominant contribution to magnetoresistance r xx}s yy comes from the Landau band electrons scattered by the disorder. This can be treated in the quasiclassical approximation with a constant scattering time. The effect of the disorder-induced broadening of the Landau band is neglected as it is not the dominant contribution to s yy . We hope to clarify the absence of a rapid fall in magnetoresistance r xx near V51/p by a full quantum treatment.

Quantum transport theory of Weiss oscillations quenching of a two-dimensional electron gas in a strong periodic potential