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A microscopic theory of the phonon-induced resistance oscillations in weakperpendicular magnetic fields is presented. The calculations are based on theconsideration of interaction of two-dimensional electrons withthree-dimensional (bulk) acoustic phonons and take into account anisotropy ofthe phonon spectrum in cubic crystals. The magnetoresistance is calculated for[001]-grown GaAs quantum wells. The results are in agreement with availableexperimental data. Apart from the numerical results, analytical expressions forthe oscillating part of magnetoresistance are obtained. These expressions arevalid in the region of high-order magnetophonon resonances and describe theoscillating magnetoresistance determined by several groups of phonons polarizedalong certain high-symmetry directions.

Theory of acoustic-phonon assisted magnetotransport in 2D electron systems at large filling factors