Quantum oscillations of ultrasound attenuation in metals with linear chains of magnetic breakdown orbits

Quantum oscillations in the coefficient of ultrasound attenuation by electrons in metals when kH = 0 (k is the sound wave vector, H is the magnetic field vector) are considered under conditions of magnetic breakdown. It is shown that in the case where the magnetic breakdown trajectories have the form of linear chains it is possible to observe oscillations represented by a set of sharp resonance peaks. An abrupt increase in the attenuation is due to the fact that for discrete values of the magnetic field the electron orbits are closed and the electron enters a region with the same sound wave phase field many times during the course of its mean free path. An expression for the attentuation coefficient is obtained and the line shape of the peak is investigated. It is shown that the existence of peaks is possible only in the case where the angle between the vector k and the direction of the open trajectories in momentum space is not small. For very small angles the oscillations are sinusoidal while the ratio of their amplitude to the monotonic part of the attenuation coefficient falls sharply.

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