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Published September 8, 2021 | Version v2
Journal article Open

Temperature dependence of quantum oscillations from non-parabolic dispersions

  • 1. Laboratory of Quantum Materials (QMAT), Institute of Materials (IMX), Ecole Polytechnique Federale de Lausanne (EPFL), CH-1015 Lausanne, Switzerland
  • 2. Department of Physics and Institute for Condensed Matter Theory, University of Illinois at Urbana-Champaign, Urbana, Illinois 61801, USA
  • 3. Center for Nanochemistry, Beijing National Laboratory for Molecular Sciences (BNLMS),College of Chemistry and Molecular Engineering, Peking University, Beijing 100871, China.
  • 4. Max Planck Institute for Chemical Physics of Solids, 01187 Dresden, Germany
  • 5. Chair of Computational Condensed Matter Physics (C3MP), Institute of Physics (IPHYS), Ecole Polytechnique Federale de Lausanne (EPFL), CH-1015 Lausanne, Switzerland. National Centre for Computational Design and Discovery of Novel Materials MARVEL,Ecole Polytechnique Federale de Lausanne (EPFL), CH-1015 Lausanne, Switzerland.
  • 6. Max Planck Institute for Chemical Physics of Solids, 01187 Dresden, Germany. School of Physics and Astronomy, University of St Andrews, St Andrews KY16 9SS, UK.
  • 7. Los Alamos National Laboratory, Los Alamos, New Mexico 87545, USA


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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