Journal article Open Access

Temperature dependence of quantum oscillations from non-parabolic dispersions

Chunyu Guo; A. Alexandradinata; Carsten Putzke; Amelia Estry; Teng Tu; Nitesh Kumar; Feng-Ren Fan; Shengnan Zhang; Quansheng Wu; Oleg V. Yazyev; Kent R. Shirer; Maja D. Bachmann; Hailin Peng; Eric D. Bauer; Filip Ronning; Yan Sun; Chandra Shekhar; Claudia Felser; Philip J. W. Moll

Original data files (ASCII- and origin files) and mathmatica coding for manuscript entitled "Linearly-dispersing topological bands detected by high temperature quantum oscillations", which will appear on Nature Communications soon.

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 $\pi$-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 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 $\pi$-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.
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