Axionic Acoustic Phonons from Weyl Semimetals

The sound propagation properties resulting from a dynamical axion insulator generated from a Weyl semimetal are explored. Due to the axial electron-phonon coupling, the speed of sound in the material and its attenuation is seen to be modified. At the Random Phase Approximation (RPA) level, it is seen that the axion obstructs a stronger modification of the speed of sound for longitudinal waves propagating parallel to the Axionic Charge Density Wave (ACDW) wavevector but not for transverse waves. On the other hand, the attenuation is modified by effects beyond the RPA, but the axionic contribution is negligible. These effects can be probed in sound propagation experiments without invoking the axial anomaly, which would require an additional electric field. We also discuss the importance of axial electron-phonon interactions with respect to the more conventional vector interactions in these systems.