  Adiabatic pumping of electrons induced by surface acoustic waves (SAWs) in a
ballistic quasi-1D quantum channel is considered using an exactly solvable
tight-binding model for non-interacting electrons. The single-electron degrees
of freedom, responsible for acoustoelectric current quantization, are related
to the transmission resonances. We study the influence of experimentally
controllable parameters (SAW power, gate voltage, source-drain bias, amplitude
and phase of a secondary SAW beam) on the plateau-like structure of the
acoustoelectric current. The results are consistent with existing experimental
observations.
