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We present a theory of the phonon-assisted nonlinear dc transport of 2Delectrons in high Landau levels. The nonlinear dissipative resistivity displaysquantum magneto-oscillations governed by two parameters which are proportionalto the Hall drift velocity $v_H$ of electrons in electric field and the speedof sound $s$. In the subsonic regime, $v_H<s$, the theory quantitativelyreproduces the oscillation pattern observed in recent experiments. We also findthe $\pi/2$ phase change of oscillations across the sound barrier $v_H=s$. Inthe supersonic regime, $v_H>s$, the amplitude of oscillations saturates withlowering temperature, while the subsonic region displays exponentialsuppression of the phonon-assisted oscillations with temperature.

Phonon-induced resistance oscillations of two-dimensional electron systems drifting with supersonic velocities