paper

Temperature dependence of quantum oscillations from non-parabolic dispersions

arXiv:1910.07608 · doi:10.1038/s41467-021-26450-1

Abstract

The phase offset of quantum oscillations is commonly used to experimentally diagnose topologically non-trivial Fermi surfaces. This methodology, however, is inconclusive for spin-orbit-coupled metals where $I ¨ $ -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 Cd $_{3}$ As $_{2}$ and the multiband Dirac metal LaRhIn $_{5}$ . Both materials match a tuning-parameter-free theoretical prediction, emphasizing their unified origin. For topologically trivial Bi $_{2}$ O $_{2}$ Se, no frequency shift associated to linear bands is observed as expected. However, the $I ¨ $ -phase shift in Bi $_{2}$ O $_{2}$ Se 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.