We theoretically investigate the magnetoacoustic oscillation and the attenuation oscillation of long-wavelength acoustic phonons in nodal-line semimetals. Because of the electron-phonon interaction, we observe pronounced oscillatory behaviors in the dispersion modification and attenuation of acoustic phonons at low temperatures. These oscillations, exhibiting unique patterns associated with Fermi surface and magnetic field directions, serve as direct manifestation of both the Fermi-surface geometry and relativistic features of electrons. Our findings propose that these observed oscillations offer discernible signatures for characterizing the electronic structures of the nodal-line semimetals.

中文翻译：

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节线半金属声子中的量子振荡

我们从理论上研究了节点线半金属中的磁声振荡和长波长声子的衰减振荡。由于电子-声子相互作用，我们在低温下声子的色散修改和衰减中观察到明显的振荡行为。这些振荡表现出与费米表面和磁场方向相关的独特模式，是费米表面几何形状和电子相对论特征的直接表现。我们的研究结果表明，这些观察到的振荡为表征节点线半金属的电子结构提供了可辨别的特征。