  We study the acoustoelectric effect in two-dimensional materials like
transition metal dichalcogenide monolayers located on a non-piezoelectric
substrate and exposed to the Rayleigh surface acoustic waves. We investigate
the behavior of the Hall component of the electric current density which
appears due to the trigonal warping of the valleys in k-space. We calculate the
spectrum of the current density and study its dependence on the electron
effective lifetime and density in the sample. We distinguish between the drift
and diffusive components of the current and show, which components turn out
predominant. Furthermore, we compare the effect of the Rayleigh and
Bluestein-Gulyaev acoustic waves, which appear if the sample is located on a
piezoelectric substrate.
