Propagation of longitudinal acoustic phonons in ZrTe${}_5$ exposed to a quantizing magnetic field

Abstract

The compound ZrTe${}_5$ has recently been connected to a charge-density-wave (CDW) state with intriguing transport properties. Here, we investigate quantum oscillations in ultrasound measurements that microscopically originate from electron-phonon coupling and analyze how these would be affected by the presence or absence of a CDW. We calculate the phonon self-energy due to electron-phonon coupling, and from there deduce the sound-velocity renormalization and sound attenuation. We find that the theoretical predictions for a metallic Dirac model resemble the experimental data on a quantitative level for magnetic fields up to the quantum-limit regime.

14 pages, 7 figures

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Cited by in corpus (6)

• Quantum-Hall physics and three dimensions
• Revealing temperature evolution of the Dirac band in ZrTe${}_5$ via magneto-infrared spectroscopy
• Engineering a pure Dirac regime in ZrTe${}_5$
• Theory of phonon instabilities in Weyl semimetals at high magnetic fields
• Axionic Acoustic Phonons from Weyl Semimetals
• Search for magnetoacoustic quantum oscillations in the insulating phase of YbB${}_{12}$