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#### Temperature dependence of quantum oscillations from non-parabolic dispersions

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##### Citation

Guo, C., Alexandradinata, A., Putzke, C., Estry, A., Tu, T., Kumar, N., et al. (2021).
Temperature dependence of quantum oscillations from non-parabolic dispersions.* Nature Communications,*
*12*(1): 6213, pp. 1-7. doi:10.1038/s41467-021-26450-1.

Cite as: https://hdl.handle.net/21.11116/0000-0009-A387-6

##### Abstract

A versatile methodology to detect topological quasiparticles by transport measurements remains an open problem. Here, the authors propose and experimentally observe the temperature dependence of the quantum oscillation frequency as a signature of non-trivial band topology.

The phase offset of quantum oscillations is commonly used to experimentally diagnose topologically nontrivial Fermi surfaces. This methodology, however, is inconclusive for spin-orbit-coupled metals where pi-phase-shifts can also arise from non-topological origins. Here, we show that the linear dispersion in topological metals leads to a T-2-temperature correction to the oscillation frequency that is absent for parabolic dispersions. We confirm this effect experimentally in the Dirac semi-metal Cd3As2 and the multiband Dirac metal LaRhIn5. Both materials match a tuning-parameter-free theoretical prediction, emphasizing their unified origin. For topologically trivial Bi2O2Se, no frequency shift associated to linear bands is observed as expected. However, the pi-phase shift in Bi2O2Se would lead to a false positive in a Landau-fan plot analysis. Our frequency-focused methodology does not require any input from ab-initio calculations, and hence is promising for identifying correlated topological materials.

The phase offset of quantum oscillations is commonly used to experimentally diagnose topologically nontrivial Fermi surfaces. This methodology, however, is inconclusive for spin-orbit-coupled metals where pi-phase-shifts can also arise from non-topological origins. Here, we show that the linear dispersion in topological metals leads to a T-2-temperature correction to the oscillation frequency that is absent for parabolic dispersions. We confirm this effect experimentally in the Dirac semi-metal Cd3As2 and the multiband Dirac metal LaRhIn5. Both materials match a tuning-parameter-free theoretical prediction, emphasizing their unified origin. For topologically trivial Bi2O2Se, no frequency shift associated to linear bands is observed as expected. However, the pi-phase shift in Bi2O2Se would lead to a false positive in a Landau-fan plot analysis. Our frequency-focused methodology does not require any input from ab-initio calculations, and hence is promising for identifying correlated topological materials.