Abstract
The effects of parabolic and nonparabolic band structures on the propagation of ultrasound in a degenerate semiconductor like SrTi${\mathrm{O}}_{3}$ in the presence of a dc longitudinal magnetic field are investigated. The major interaction between the conduction electrons and the ultrasound is via deformation potential coupling. It is found that the absorption coefficient and sound velocity for ultrasound propagating parallel to the magnetic field depend strongly on the sound frequency and the magnetic field at the high-field region. Some in the absorption coefficient and sound velocity occur at the region of high magnetic fields and high ultrasonic frequencies. We interpret these as the so-called giant quantum oscillations which can be observed when the separation between Landau levels is greater than their thermal broadenings in the region of high frequencies.
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