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We discuss the feasibility of absolute negative conductivity (ANC) intwo-dimensional electron systems (2DES) stimulated by microwave radiation intransverse magnetic field. The mechanism of ANC under consideration isassociated with the electron scattering on acoustic piezoelectric phononsaccompanied by the absorption of microwave photons. It is demonstrated that thedissipative components of the 2DES dc conductivity can be negative($\sigma_{xx} = \sigma_{yy} < 0$) when the microwave frequency $\Omega$ issomewhat higher than the electron cyclotron frequency $\Omega_c$ or itsharmonics. The concept of ANC associated with such a scattering mechanism canbe invoked to explain the nature of the occurrence of zero-resistance``dissipationless'' states observed in recent experiments.Comment: 7 pager, 2 figure

Absolute negative conductivity in two-dimensional electron systems associated with acoustic scattering stimulated by microwave radiation