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In this work we present the results of theoretical analysis of magneticquantum oscillations of the velocity and attenuation of high frequencyultrasound waves traveling in quasi-two-dimensional conductors. We chose ageometry where the wave vector of the longitudinal sound wave and the externalmagnetic field are directed along the axis of symmetry of the Fermi surface.Assuming a moderately weak Fermi surface corrugation we showed that theoscillating correction to the sound velocity may include a special term besidesan ordinary contribution originating from quantum oscillations of the chargecarriers density of states at the Fermi surface. This additional term isgenerated by a "phase stability" resonance occurring when the charge carriersvelocity in the direction of the wave propagation equals the sound velocity.The two oscillating contributions to the sound velocity are shown to differ inphase and shape, and they may have the same order of magnitude. The appearanceof the extra term may bring significant changes in magnetic quantumoscillations of the velocity of sound in Q2D conductors, especially at lowtemperatures.

Quantum oscillations in the high frequency magnetoacoustic response of a quasi-two-dimensional metal