Quantitative evaluation of Dirac physics in PbTe
Kazuto Akiba, Atsushi Miyake, Hideaki Sakai, Keisuke Katayama, Hiroshi, Murakawa, Noriaki Hanasaki, Sadao Takaoka, Yoshiki Nakanishi, Masahito, Yoshizawa, and Masashi Tokunaga

TL;DR
This study investigates the quantum oscillations and Zeeman-splitting effects in PbTe under high magnetic fields, providing insights into its Dirac-like electronic properties and highlighting challenges in analyzing Berry's phase.
Contribution
It offers the first detailed quantitative analysis of Dirac physics in PbTe, emphasizing the impact of Zeeman-splitting on quantum oscillation interpretation.
Findings
Zeeman-splitting causes large second harmonic in quantum oscillations.
The Zeeman to cyclotron energy ratio indicates significant Diracness.
Zeeman-splitting affects Landau-level fan diagram analysis.
Abstract
The magnetic field dependence of electronic transport, magnetic, and elastic properties in single crystals of PbTe were investigated in high magnetic fields up to 55 T. The magnetoresistance, magnetization, ultrasonic attenuation, and sound velocity showed clear quantum oscillations with pronounced Zeeman-splitting, which causes a large second harmonic in the frequency spectra. The ratio of the Zeeman to the cyclotron energy, which is regarded as an index of `Diracness' [H. Hayasaka and Y. Fuseya, J. Phys.: Condens. Matter \textbf{28,} 31LT01 (2016).], was determined to be 0.52 and 0.57 in samples with different carrier densities. We also pointed out that the effect of Zeeman-splitting seriously affects the Landau-level fan diagram analysis, which is widely used to extract the nontrivial Berry's phase from the quantum oscillations.
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