Anomalous behavior of the transverse acoustoelectric effect in superconductors with a moving vortex structure and the formation of acoustic vortex domains

It is shown that a longitudinal ultrasonic wave in superconductors with a moving vortex structure creates an additional transverse acoustoelectric field proportional to the power of this wave. This field changes its sign when the velocity of the vortex structure is lower than the velocity of the ultrasonic wave. This behavior qualitatively distinguishes this effect from a similar effect on the conduction electrons in semiconductors. Such a behavior of the acoustoelectric field, together with the effect of the amplification of the ultrasonic wave, can give rise to the negative differential conductivity and, therefore, to the formation of acoustic vortex domains in the superconductor.