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We develop a unified treatment of the piesoelectric coupling betweentwo-dimensional electrons and bulk phonons in both cases of zero and strongmagnetic fields, the latter corresponding to even denominator fillingfractions. In contrast to the case of coupling via the deformation potential,the leading contributions due to impurity-renormalized electron-phonon verticesare not exactly cancelled by processes of inelastic electron-impurityscattering. Electron energy relaxation time, diffusion correction to theconductivity, and phonon emission rate by hot electrons are computed forrealistic $GaAs/AlGaAs$ heterostructures.Comment: 12 pages, Latex, Nordita repor

Piezoelectric electron-phonon interaction in impure semiconductors: Two-dimensional electrons versus composite fermions