Temperature dependence of quantum oscillations from non-parabolic\n dispersions

Abstract

The phase offset of quantum oscillations is commonly used to experimentally\ndiagnose topologically non-trivial Fermi surfaces. This methodology, however,\nis inconclusive for spin-orbit-coupled metals where $\\pi$-phase-shifts can also\narise from non-topological origins. Here, we show that the linear dispersion in\ntopological metals leads to a $T^2$-temperature correction to the oscillation\nfrequency that is absent for parabolic dispersions. We confirm this effect\nexperimentally in the Dirac semi-metal Cd$_3$As$_2$ and the multiband Dirac\nmetal LaRhIn$_5$. Both materials match a tuning-parameter-free theoretical\nprediction, emphasizing their unified origin. For topologically trivial\nBi$_2$O$_2$Se, no frequency shift associated to linear bands is observed as\nexpected. However, the $\\pi$-phase shift in Bi$_2$O$_2$Se would lead to a false\npositive in a Landau-fan plot analysis. Our frequency-focused methodology does\nnot require any input from ab-initio calculations, and hence is promising for\nidentifying correlated topological materials.\n