We have studied a nonlinear response of a field‐effect transistor multi &dgr;‐layer structure to an external alternating‐current signal. A specific resonance behavior of the source‐drain resistance was observed in the MHz range depending on the orientation of the magnetic field. The results are discussed within the framework of a model of electron gas heating due to the parametric resonance between the ac electrical signal and the sound wave generated by an ac electrical signal by means of the piezoelectric effect. ©1995 American Institute of Physics.